#include <rb_construction.h>

Inheritance diagram for libMesh::RBConstruction:

[legend]

Public Types
typedef RBConstruction	sys_type

typedef RBConstructionBase< LinearImplicitSystem >	Parent

typedef std::map< std::string, SparseMatrix< Number > * >::iterator	matrices_iterator

typedef std::map< std::string, SparseMatrix< Number > * >::const_iterator	const_matrices_iterator

typedef Number(*	ValueFunctionPointer) (const Point &p, const Parameters &Parameters, const std::string &sys_name, const std::string &unknown_name)

typedef Gradient(*	GradientFunctionPointer) (const Point &p, const Parameters &parameters, const std::string &sys_name, const std::string &unknown_name)

typedef std::map< std::string, NumericVector< Number > * >::iterator	vectors_iterator

typedef std::map< std::string, NumericVector< Number > * >::const_iterator	const_vectors_iterator

Public Member Functions
	RBConstruction (EquationSystems &es, const std::string &name, const unsigned int number)

virtual	~RBConstruction ()

virtual void	solve_for_matrix_and_rhs (LinearSolver< Number > &input_solver, SparseMatrix< Number > &input_matrix, NumericVector< Number > &input_rhs)

void	set_rb_evaluation (RBEvaluation &rb_eval_in)

RBEvaluation &	get_rb_evaluation ()

bool	is_rb_eval_initialized () const

RBThetaExpansion &	get_rb_theta_expansion ()

void	set_rb_assembly_expansion (RBAssemblyExpansion &rb_assembly_expansion_in)

RBAssemblyExpansion &	get_rb_assembly_expansion ()

sys_type &	system ()

virtual void	clear () override

virtual std::string	system_type () const override

virtual Real	truth_solve (int plot_solution)

virtual Real	train_reduced_basis (const bool resize_rb_eval_data=true)

void	enrich_basis_from_rhs_terms (const bool resize_rb_eval_data=true)

virtual Real	compute_max_error_bound ()

const RBParameters &	get_greedy_parameter (unsigned int i)

void	set_rel_training_tolerance (Real new_training_tolerance)

Real	get_rel_training_tolerance ()

void	set_abs_training_tolerance (Real new_training_tolerance)

Real	get_abs_training_tolerance ()

void	set_normalize_rb_bound_in_greedy (bool normalize_rb_bound_in_greedy_in)

bool	get_normalize_rb_bound_in_greedy ()

unsigned int	get_Nmax () const

virtual void	set_Nmax (unsigned int Nmax)

virtual void	load_basis_function (unsigned int i)

virtual void	load_rb_solution ()

SparseMatrix< Number > *	get_inner_product_matrix ()

SparseMatrix< Number > *	get_non_dirichlet_inner_product_matrix ()

SparseMatrix< Number > *	get_non_dirichlet_inner_product_matrix_if_avail ()

SparseMatrix< Number > *	get_Aq (unsigned int q)

SparseMatrix< Number > *	get_non_dirichlet_Aq (unsigned int q)

SparseMatrix< Number > *	get_non_dirichlet_Aq_if_avail (unsigned int q)

virtual void	initialize_rb_construction (bool skip_matrix_assembly=false, bool skip_vector_assembly=false)

NumericVector< Number > *	get_Fq (unsigned int q)

NumericVector< Number > *	get_non_dirichlet_Fq (unsigned int q)

NumericVector< Number > *	get_non_dirichlet_Fq_if_avail (unsigned int q)

NumericVector< Number > *	get_output_vector (unsigned int n, unsigned int q_l)

NumericVector< Number > *	get_non_dirichlet_output_vector (unsigned int n, unsigned int q_l)

virtual void	get_all_matrices (std::map< std::string, SparseMatrix< Number > *> &all_matrices)

virtual void	get_all_vectors (std::map< std::string, NumericVector< Number > *> &all_vectors)

virtual void	get_output_vectors (std::map< std::string, NumericVector< Number > *> &all_vectors)

virtual void	assemble_affine_expansion (bool skip_matrix_assembly, bool skip_vector_assembly)

void	assemble_inner_product_matrix (SparseMatrix< Number > *input_matrix, bool apply_dof_constraints=true)

void	assemble_Aq_matrix (unsigned int q, SparseMatrix< Number > *input_matrix, bool apply_dof_constraints=true)

void	assemble_Fq_vector (unsigned int q, NumericVector< Number > *input_vector, bool apply_dof_constraints=true)

void	add_scaled_Aq (Number scalar, unsigned int q_a, SparseMatrix< Number > *input_matrix, bool symmetrize)

virtual void	write_riesz_representors_to_files (const std::string &riesz_representors_dir, const bool write_binary_residual_representors)

virtual void	read_riesz_representors_from_files (const std::string &riesz_representors_dir, const bool write_binary_residual_representors)

virtual void	recompute_all_residual_terms (const bool compute_inner_products=true)

virtual void	process_parameters_file (const std::string &parameters_filename)

void	set_rb_construction_parameters (unsigned int n_training_samples_in, bool deterministic_training_in, unsigned int training_parameters_random_seed_in, bool quiet_mode_in, unsigned int Nmax_in, Real rel_training_tolerance_in, Real abs_training_tolerance_in, bool normalize_rb_error_bound_in_greedy_in, RBParameters mu_min_in, RBParameters mu_max_in, std::map< std::string, std::vector< Real >> discrete_parameter_values_in, std::map< std::string, bool > log_scaling)

virtual void	print_info ()

void	print_basis_function_orthogonality ()

unsigned int	get_delta_N () const

void	set_inner_product_assembly (ElemAssembly &inner_product_assembly_in)

ElemAssembly &	get_inner_product_assembly ()

void	zero_constrained_dofs_on_vector (NumericVector< Number > &vector)

void	set_convergence_assertion_flag (bool flag)

void	set_quiet_mode (bool quiet_mode_in)

bool	is_quiet () const

numeric_index_type	get_n_training_samples () const

numeric_index_type	get_local_n_training_samples () const

numeric_index_type	get_first_local_training_index () const

numeric_index_type	get_last_local_training_index () const

virtual void	initialize_training_parameters (const RBParameters &mu_min, const RBParameters &mu_max, unsigned int n_training_parameters, std::map< std::string, bool > log_param_scale, bool deterministic=true)

virtual void	load_training_set (std::map< std::string, std::vector< Number >> &new_training_set)

void	broadcast_parameters (unsigned int proc_id)

void	set_training_random_seed (unsigned int seed)

void	set_deterministic_training_parameter_name (const std::string &name)

const std::string &	get_deterministic_training_parameter_name () const

void	set_deterministic_training_parameter_repeats (unsigned int repeats)

unsigned int	get_deterministic_training_parameter_repeats () const

virtual void	reinit () override

virtual void	assemble () override

virtual void	restrict_solve_to (const SystemSubset *subset, const SubsetSolveMode subset_solve_mode=SUBSET_ZERO) override

virtual void	solve () override

virtual LinearSolver< Number > *	get_linear_solver () const override

virtual void	release_linear_solver (LinearSolver< Number > *) const override

virtual void	assembly (bool get_residual, bool get_jacobian, bool apply_heterogeneous_constraints=false, bool apply_no_constraints=false) override

unsigned int	n_linear_iterations () const

Real	final_linear_residual () const

void	attach_shell_matrix (ShellMatrix< Number > *shell_matrix)

void	detach_shell_matrix ()

ShellMatrix< Number > *	get_shell_matrix ()

virtual void	disable_cache () override

virtual std::pair< unsigned int, Real >	get_linear_solve_parameters () const

virtual void	assemble_residual_derivatives (const ParameterVector &parameters) override

virtual std::pair< unsigned int, Real >	sensitivity_solve (const ParameterVector &parameters) override

virtual std::pair< unsigned int, Real >	weighted_sensitivity_solve (const ParameterVector &parameters, const ParameterVector &weights) override

virtual std::pair< unsigned int, Real >	adjoint_solve (const QoISet &qoi_indices=QoISet()) override

virtual std::pair< unsigned int, Real >	weighted_sensitivity_adjoint_solve (const ParameterVector &parameters, const ParameterVector &weights, const QoISet &qoi_indices=QoISet()) override

virtual void	adjoint_qoi_parameter_sensitivity (const QoISet &qoi_indices, const ParameterVector &parameters, SensitivityData &sensitivities) override

virtual void	forward_qoi_parameter_sensitivity (const QoISet &qoi_indices, const ParameterVector &parameters, SensitivityData &sensitivities) override

virtual void	qoi_parameter_hessian (const QoISet &qoi_indices, const ParameterVector &parameters, SensitivityData &hessian) override

virtual void	qoi_parameter_hessian_vector_product (const QoISet &qoi_indices, const ParameterVector &parameters, const ParameterVector &vector, SensitivityData &product) override

SparseMatrix< Number > &	add_matrix (const std::string &mat_name)

void	remove_matrix (const std::string &mat_name)

bool	have_matrix (const std::string &mat_name) const

const SparseMatrix< Number > *	request_matrix (const std::string &mat_name) const

SparseMatrix< Number > *	request_matrix (const std::string &mat_name)

const SparseMatrix< Number > &	get_matrix (const std::string &mat_name) const

SparseMatrix< Number > &	get_matrix (const std::string &mat_name)

virtual unsigned int	n_matrices () const override

virtual void	assemble_qoi (const QoISet &qoi_indices=QoISet()) override

virtual void	assemble_qoi_derivative (const QoISet &qoi_indices=QoISet(), bool include_liftfunc=true, bool apply_constraints=true) override

void	init ()

virtual void	reinit_constraints ()

bool	is_initialized ()

virtual void	update ()

bool	is_adjoint_already_solved () const

void	set_adjoint_already_solved (bool setting)

virtual void	qoi_parameter_sensitivity (const QoISet &qoi_indices, const ParameterVector &parameters, SensitivityData &sensitivities)

virtual bool	compare (const System &other_system, const Real threshold, const bool verbose) const

const std::string &	name () const

void	project_solution (FunctionBase< Number > f, FunctionBase< Gradient > g=nullptr) const

void	project_solution (FEMFunctionBase< Number > f, FEMFunctionBase< Gradient > g=nullptr) const

void	project_solution (ValueFunctionPointer fptr, GradientFunctionPointer gptr, const Parameters &parameters) const

void	project_vector (NumericVector< Number > &new_vector, FunctionBase< Number > f, FunctionBase< Gradient > g=nullptr, int is_adjoint=-1) const

void	project_vector (NumericVector< Number > &new_vector, FEMFunctionBase< Number > f, FEMFunctionBase< Gradient > g=nullptr, int is_adjoint=-1) const

void	project_vector (ValueFunctionPointer fptr, GradientFunctionPointer gptr, const Parameters &parameters, NumericVector< Number > &new_vector, int is_adjoint=-1) const

void	boundary_project_solution (const std::set< boundary_id_type > &b, const std::vector< unsigned int > &variables, FunctionBase< Number > f, FunctionBase< Gradient > g=nullptr)

void	boundary_project_solution (const std::set< boundary_id_type > &b, const std::vector< unsigned int > &variables, ValueFunctionPointer fptr, GradientFunctionPointer gptr, const Parameters &parameters)

void	boundary_project_vector (const std::set< boundary_id_type > &b, const std::vector< unsigned int > &variables, NumericVector< Number > &new_vector, FunctionBase< Number > f, FunctionBase< Gradient > g=nullptr, int is_adjoint=-1) const

void	boundary_project_vector (const std::set< boundary_id_type > &b, const std::vector< unsigned int > &variables, ValueFunctionPointer fptr, GradientFunctionPointer gptr, const Parameters &parameters, NumericVector< Number > &new_vector, int is_adjoint=-1) const

unsigned int	number () const

void	update_global_solution (std::vector< Number > &global_soln) const

void	update_global_solution (std::vector< Number > &global_soln, const processor_id_type dest_proc) const

const MeshBase &	get_mesh () const

MeshBase &	get_mesh ()

const DofMap &	get_dof_map () const

DofMap &	get_dof_map ()

const EquationSystems &	get_equation_systems () const

EquationSystems &	get_equation_systems ()

bool	active () const

void	activate ()

void	deactivate ()

void	set_basic_system_only ()

vectors_iterator	vectors_begin ()

const_vectors_iterator	vectors_begin () const

vectors_iterator	vectors_end ()

const_vectors_iterator	vectors_end () const

NumericVector< Number > &	add_vector (const std::string &vec_name, const bool projections=true, const ParallelType type=PARALLEL)

void	remove_vector (const std::string &vec_name)

bool &	project_solution_on_reinit (void)

bool	have_vector (const std::string &vec_name) const

const NumericVector< Number > *	request_vector (const std::string &vec_name) const

NumericVector< Number > *	request_vector (const std::string &vec_name)

const NumericVector< Number > *	request_vector (const unsigned int vec_num) const

NumericVector< Number > *	request_vector (const unsigned int vec_num)

const NumericVector< Number > &	get_vector (const std::string &vec_name) const

NumericVector< Number > &	get_vector (const std::string &vec_name)

const NumericVector< Number > &	get_vector (const unsigned int vec_num) const

NumericVector< Number > &	get_vector (const unsigned int vec_num)

const std::string &	vector_name (const unsigned int vec_num) const

const std::string &	vector_name (const NumericVector< Number > &vec_reference) const

void	set_vector_as_adjoint (const std::string &vec_name, int qoi_num)

int	vector_is_adjoint (const std::string &vec_name) const

void	set_vector_preservation (const std::string &vec_name, bool preserve)

bool	vector_preservation (const std::string &vec_name) const

NumericVector< Number > &	add_adjoint_solution (unsigned int i=0)

NumericVector< Number > &	get_adjoint_solution (unsigned int i=0)

const NumericVector< Number > &	get_adjoint_solution (unsigned int i=0) const

NumericVector< Number > &	add_sensitivity_solution (unsigned int i=0)

NumericVector< Number > &	get_sensitivity_solution (unsigned int i=0)

const NumericVector< Number > &	get_sensitivity_solution (unsigned int i=0) const

NumericVector< Number > &	add_weighted_sensitivity_adjoint_solution (unsigned int i=0)

NumericVector< Number > &	get_weighted_sensitivity_adjoint_solution (unsigned int i=0)

const NumericVector< Number > &	get_weighted_sensitivity_adjoint_solution (unsigned int i=0) const

NumericVector< Number > &	add_weighted_sensitivity_solution ()

NumericVector< Number > &	get_weighted_sensitivity_solution ()

const NumericVector< Number > &	get_weighted_sensitivity_solution () const

NumericVector< Number > &	add_adjoint_rhs (unsigned int i=0)

NumericVector< Number > &	get_adjoint_rhs (unsigned int i=0)

const NumericVector< Number > &	get_adjoint_rhs (unsigned int i=0) const

NumericVector< Number > &	add_sensitivity_rhs (unsigned int i=0)

NumericVector< Number > &	get_sensitivity_rhs (unsigned int i=0)

const NumericVector< Number > &	get_sensitivity_rhs (unsigned int i=0) const

unsigned int	n_vectors () const

unsigned int	n_vars () const

unsigned int	n_variable_groups () const

unsigned int	n_components () const

dof_id_type	n_dofs () const

dof_id_type	n_active_dofs () const

dof_id_type	n_constrained_dofs () const

dof_id_type	n_local_constrained_dofs () const

dof_id_type	n_local_dofs () const

unsigned int	add_variable (const std::string &var, const FEType &type, const std::set< subdomain_id_type > *const active_subdomains=nullptr)

unsigned int	add_variable (const std::string &var, const Order order=FIRST, const FEFamily=LAGRANGE, const std::set< subdomain_id_type > *const active_subdomains=nullptr)

unsigned int	add_variables (const std::vector< std::string > &vars, const FEType &type, const std::set< subdomain_id_type > *const active_subdomains=nullptr)

unsigned int	add_variables (const std::vector< std::string > &vars, const Order order=FIRST, const FEFamily=LAGRANGE, const std::set< subdomain_id_type > *const active_subdomains=nullptr)

const Variable &	variable (unsigned int var) const

const VariableGroup &	variable_group (unsigned int vg) const

bool	has_variable (const std::string &var) const

const std::string &	variable_name (const unsigned int i) const

unsigned short int	variable_number (const std::string &var) const

void	get_all_variable_numbers (std::vector< unsigned int > &all_variable_numbers) const

unsigned int	variable_scalar_number (const std::string &var, unsigned int component) const

unsigned int	variable_scalar_number (unsigned int var_num, unsigned int component) const

const FEType &	variable_type (const unsigned int i) const

const FEType &	variable_type (const std::string &var) const

bool	identify_variable_groups () const

void	identify_variable_groups (const bool)

Real	calculate_norm (const NumericVector< Number > &v, unsigned int var, FEMNormType norm_type, std::set< unsigned int > *skip_dimensions=nullptr) const

Real	calculate_norm (const NumericVector< Number > &v, const SystemNorm &norm, std::set< unsigned int > *skip_dimensions=nullptr) const

void	read_header (Xdr &io, const std::string &version, const bool read_header=true, const bool read_additional_data=true, const bool read_legacy_format=false)

void	read_legacy_data (Xdr &io, const bool read_additional_data=true)

template<typename ValType >
void	read_serialized_data (Xdr &io, const bool read_additional_data=true)

void	read_serialized_data (Xdr &io, const bool read_additional_data=true)

template<typename InValType >
std::size_t	read_serialized_vectors (Xdr &io, const std::vector< NumericVector< Number > *> &vectors) const

std::size_t	read_serialized_vectors (Xdr &io, const std::vector< NumericVector< Number > *> &vectors) const

template<typename InValType >
void	read_parallel_data (Xdr &io, const bool read_additional_data)

void	read_parallel_data (Xdr &io, const bool read_additional_data)

void	write_header (Xdr &io, const std::string &version, const bool write_additional_data) const

void	write_serialized_data (Xdr &io, const bool write_additional_data=true) const

std::size_t	write_serialized_vectors (Xdr &io, const std::vector< const NumericVector< Number > *> &vectors) const

void	write_parallel_data (Xdr &io, const bool write_additional_data) const

std::string	get_info () const

void	attach_init_function (void fptr(EquationSystems &es, const std::string &name))

void	attach_init_object (Initialization &init)

void	attach_assemble_function (void fptr(EquationSystems &es, const std::string &name))

void	attach_assemble_object (Assembly &assemble)

void	attach_constraint_function (void fptr(EquationSystems &es, const std::string &name))

void	attach_constraint_object (Constraint &constrain)

void	attach_QOI_function (void fptr(EquationSystems &es, const std::string &name, const QoISet &qoi_indices))

void	attach_QOI_object (QOI &qoi)

void	attach_QOI_derivative (void fptr(EquationSystems &es, const std::string &name, const QoISet &qoi_indices, bool include_liftfunc, bool apply_constraints))

void	attach_QOI_derivative_object (QOIDerivative &qoi_derivative)

virtual void	user_initialization ()

virtual void	user_assembly ()

virtual void	user_constrain ()

virtual void	user_QOI (const QoISet &qoi_indices)

virtual void	user_QOI_derivative (const QoISet &qoi_indices=QoISet(), bool include_liftfunc=true, bool apply_constraints=true)

virtual void	re_update ()

virtual void	restrict_vectors ()

virtual void	prolong_vectors ()

Number	current_solution (const dof_id_type global_dof_number) const

unsigned int	n_qois () const

Number	point_value (unsigned int var, const Point &p, const bool insist_on_success=true) const

Number	point_value (unsigned int var, const Point &p, const Elem &e) const

Number	point_value (unsigned int var, const Point &p, const Elem *e) const

Gradient	point_gradient (unsigned int var, const Point &p, const bool insist_on_success=true) const

Gradient	point_gradient (unsigned int var, const Point &p, const Elem &e) const

Gradient	point_gradient (unsigned int var, const Point &p, const Elem *e) const

Tensor	point_hessian (unsigned int var, const Point &p, const bool insist_on_success=true) const

Tensor	point_hessian (unsigned int var, const Point &p, const Elem &e) const

Tensor	point_hessian (unsigned int var, const Point &p, const Elem *e) const

void	local_dof_indices (const unsigned int var, std::set< dof_id_type > &var_indices) const

void	zero_variable (NumericVector< Number > &v, unsigned int var_num) const

bool &	hide_output ()

void	projection_matrix (SparseMatrix< Number > &proj_mat) const

const Parallel::Communicator &	comm () const

processor_id_type	n_processors () const

processor_id_type	processor_id () const

void	initialize_parameters (const RBParameters &mu_min_in, const RBParameters &mu_max_in, const std::map< std::string, std::vector< Real >> &discrete_parameter_values)

void	initialize_parameters (const RBParametrized &rb_parametrized)

unsigned int	get_n_params () const

unsigned int	get_n_continuous_params () const

unsigned int	get_n_discrete_params () const

std::set< std::string >	get_parameter_names () const

const RBParameters &	get_parameters () const

void	set_parameters (const RBParameters &params)

const RBParameters &	get_parameters_min () const

const RBParameters &	get_parameters_max () const

Real	get_parameter_min (const std::string &param_name) const

Real	get_parameter_max (const std::string &param_name) const

void	print_parameters () const

void	write_parameter_data_to_files (const std::string &continuous_param_file_name, const std::string &discrete_param_file_name, const bool write_binary_data)

void	read_parameter_data_from_files (const std::string &continuous_param_file_name, const std::string &discrete_param_file_name, const bool read_binary_data)

bool	is_discrete_parameter (const std::string &mu_name) const

const std::map< std::string, std::vector< Real > > &	get_discrete_parameter_values () const

void	print_discrete_parameter_values () const

Static Public Member Functions
static std::unique_ptr< DirichletBoundary >	build_zero_dirichlet_boundary_object ()

static std::string	get_info ()

static std::string	get_info ()

static void	print_info (std::ostream &out=libMesh::out)

static void	print_info (std::ostream &out=libMesh::out)

static unsigned int	n_objects ()

static unsigned int	n_objects ()

static void	enable_print_counter_info ()

static void	enable_print_counter_info ()

static void	disable_print_counter_info ()

static void	disable_print_counter_info ()

static Real	get_closest_value (Real value, const std::vector< Real > &list_of_values)

Public Attributes
std::vector< Real >	training_error_bounds

std::unique_ptr< LinearSolver< Number > >	inner_product_solver

LinearSolver< Number > *	extra_linear_solver

std::unique_ptr< SparseMatrix< Number > >	inner_product_matrix

std::vector< Number >	truth_outputs

std::vector< std::vector< Number > >	output_dual_innerprods

std::vector< std::unique_ptr< NumericVector< Number > > >	Fq_representor

std::vector< Number >	Fq_representor_innerprods

bool	skip_residual_in_train_reduced_basis

bool	exit_on_repeated_greedy_parameters

bool	impose_internal_fluxes

bool	skip_degenerate_sides

bool	compute_RB_inner_product

bool	store_non_dirichlet_operators

bool	use_empty_rb_solve_in_greedy

bool	Fq_representor_innerprods_computed

std::unique_ptr< LinearSolver< Number > >	linear_solver

SparseMatrix< Number > *	matrix

bool	zero_out_matrix_and_rhs

NumericVector< Number > *	rhs

bool	assemble_before_solve

bool	use_fixed_solution

int	extra_quadrature_order

std::unique_ptr< NumericVector< Number > >	solution

std::unique_ptr< NumericVector< Number > >	current_local_solution

Real	time

std::vector< Number >	qoi

bool	verbose_mode

Protected Types
typedef std::map< std::string, std::pair< unsigned int, unsigned int > >	Counts

typedef std::map< std::string, std::pair< unsigned int, unsigned int > >	Counts

Protected Member Functions
virtual void	allocate_data_structures ()

virtual void	truth_assembly ()

virtual std::unique_ptr< DGFEMContext >	build_context ()

virtual SparseMatrix< Number > &	get_matrix_for_output_dual_solves ()

virtual bool	greedy_termination_test (Real abs_greedy_error, Real initial_greedy_error, int count)

void	update_greedy_param_list ()

void	add_scaled_matrix_and_vector (Number scalar, ElemAssembly elem_assembly, SparseMatrix< Number > input_matrix, NumericVector< Number > *input_vector, bool symmetrize=false, bool apply_dof_constraints=true)

virtual void	set_context_solution_vec (NumericVector< Number > &vec)

virtual void	assemble_misc_matrices ()

virtual void	assemble_all_affine_operators ()

virtual void	assemble_all_affine_vectors ()

virtual void	assemble_all_output_vectors ()

virtual void	compute_output_dual_innerprods ()

virtual void	compute_Fq_representor_innerprods (bool compute_inner_products=true)

virtual void	enrich_RB_space ()

virtual void	update_system ()

virtual Real	get_RB_error_bound ()

virtual void	update_RB_system_matrices ()

virtual void	update_residual_terms (bool compute_inner_products=true)

virtual void	init_context (FEMContext &)

bool	get_convergence_assertion_flag () const

void	check_convergence (LinearSolver< Number > &input_solver)

virtual void	init_data ()

RBParameters	get_params_from_training_set (unsigned int index)

void	set_params_from_training_set (unsigned int index)

virtual void	set_params_from_training_set_and_broadcast (unsigned int index)

virtual void	init_matrices ()

void	project_vector (NumericVector< Number > &, int is_adjoint=-1) const

void	project_vector (const NumericVector< Number > &, NumericVector< Number > &, int is_adjoint=-1) const

void	increment_constructor_count (const std::string &name)

void	increment_constructor_count (const std::string &name)

void	increment_destructor_count (const std::string &name)

void	increment_destructor_count (const std::string &name)

Static Protected Member Functions
static void	get_global_max_error_pair (const Parallel::Communicator &communicator, std::pair< numeric_index_type, Real > &error_pair)

static void	generate_training_parameters_random (const Parallel::Communicator &communicator, std::map< std::string, bool > log_param_scale, std::map< std::string, std::unique_ptr< NumericVector< Number >>> &training_parameters_in, unsigned int n_training_samples_in, const RBParameters &min_parameters, const RBParameters &max_parameters, int training_parameters_random_seed=-1, bool serial_training_set=false)

static void	generate_training_parameters_deterministic (const Parallel::Communicator &communicator, std::map< std::string, bool > log_param_scale, std::map< std::string, std::unique_ptr< NumericVector< Number >>> &training_parameters_in, unsigned int n_training_samples_in, const RBParameters &min_parameters, const RBParameters &max_parameters, bool serial_training_set=false)

Protected Attributes
unsigned int	Nmax

unsigned int	delta_N

bool	output_dual_innerprods_computed

bool	assert_convergence

bool	quiet_mode

bool	serial_training_set

std::unique_ptr< NumericVector< Number > >	inner_product_storage_vector

unsigned int	_n_linear_iterations

Real	_final_linear_residual

ShellMatrix< Number > *	_shell_matrix

const SystemSubset *	_subset

SubsetSolveMode	_subset_solve_mode

const Parallel::Communicator &	_communicator

Static Protected Attributes
static Counts	_counts

static Counts	_counts

static Threads::atomic< unsigned int >	_n_objects

static Threads::atomic< unsigned int >	_n_objects

static Threads::spin_mutex	_mutex

static Threads::spin_mutex	_mutex

static bool	_enable_print_counter = true

static bool	_enable_print_counter = true

Private Attributes
RBEvaluation *	rb_eval

RBAssemblyExpansion *	rb_assembly_expansion

ElemAssembly *	inner_product_assembly

std::vector< std::unique_ptr< SparseMatrix< Number > > >	Aq_vector

std::vector< std::unique_ptr< NumericVector< Number > > >	Fq_vector

std::vector< std::vector< std::unique_ptr< NumericVector< Number > > > >	outputs_vector

std::vector< std::unique_ptr< SparseMatrix< Number > > >	non_dirichlet_Aq_vector

std::vector< std::unique_ptr< NumericVector< Number > > >	non_dirichlet_Fq_vector

std::vector< std::vector< std::unique_ptr< NumericVector< Number > > > >	non_dirichlet_outputs_vector

std::unique_ptr< SparseMatrix< Number > >	non_dirichlet_inner_product_matrix

Real	rel_training_tolerance

Real	abs_training_tolerance

bool	normalize_rb_bound_in_greedy

Detailed Description

This class is part of the rbOOmit framework.

RBConstruction implements the Construction stage of the certified reduced basis method for steady-state elliptic parametrized PDEs.

Author: David J. Knezevic

Date: 2009

Definition at line 53 of file rb_construction.h.

Member Typedef Documentation

◆ const_matrices_iterator

typedef std::map<std::string, SparseMatrix<Number> *>::const_iterator libMesh::ImplicitSystem::const_matrices_iterator

inherited

Definition at line 306 of file implicit_system.h.

◆ const_vectors_iterator

typedef std::map<std::string, NumericVector<Number> *>::const_iterator libMesh::System::const_vectors_iterator

inherited

Definition at line 749 of file system.h.

◆ Counts [1/2]

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts

protectedinherited

Data structure to log the information. The log is identified by the class name.

Definition at line 117 of file reference_counter.h.

◆ Counts [2/2]

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts

protectedinherited

Data structure to log the information. The log is identified by the class name.

Definition at line 117 of file reference_counter.h.

◆ GradientFunctionPointer

typedef Gradient(* libMesh::System::GradientFunctionPointer) (const Point &p, const Parameters &parameters, const std::string &sys_name, const std::string &unknown_name)

inherited

Definition at line 524 of file system.h.

◆ matrices_iterator

typedef std::map<std::string, SparseMatrix<Number> *>::iterator libMesh::ImplicitSystem::matrices_iterator

inherited

Matrix iterator typedefs.

Definition at line 305 of file implicit_system.h.

◆ Parent

typedef RBConstructionBase<LinearImplicitSystem> libMesh::RBConstruction::Parent

The type of the parent.

Definition at line 122 of file rb_construction.h.

◆ sys_type

typedef RBConstruction libMesh::RBConstruction::sys_type

The type of system.

Definition at line 73 of file rb_construction.h.

◆ ValueFunctionPointer

typedef Number(* libMesh::System::ValueFunctionPointer) (const Point &p, const Parameters &Parameters, const std::string &sys_name, const std::string &unknown_name)

inherited

Projects arbitrary functions onto the current solution. The function value fptr and its gradient gptr are represented by function pointers. A gradient gptr is only required/used for projecting onto finite element spaces with continuous derivatives.

Definition at line 520 of file system.h.

◆ vectors_iterator

typedef std::map<std::string, NumericVector<Number> *>::iterator libMesh::System::vectors_iterator

inherited

Vector iterator typedefs.

Definition at line 748 of file system.h.

Constructor & Destructor Documentation

◆ RBConstruction()

libMesh::RBConstruction::RBConstruction	(	EquationSystems &	es,
		const std::string &	name,
		const unsigned int	number
	)

Constructor. Optionally initializes required data structures.

◆ ~RBConstruction()

virtual libMesh::RBConstruction::~RBConstruction ( )

virtual

Destructor.

Member Function Documentation

◆ activate()

void libMesh::System::activate ( )

inlineinherited

Activates the system. Only active systems are solved.

Definition at line 2073 of file system.h.

References libMesh::System::_active.

 {
   _active = true;
 }

◆ active()

bool libMesh::System::active ( ) const

inlineinherited

Returns: true if the system is active, false otherwise. An active system will be solved.

Definition at line 2065 of file system.h.

References libMesh::System::_active.

 {
   return _active;
 }

◆ add_adjoint_rhs()

NumericVector< Number > & libMesh::System::add_adjoint_rhs ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's adjoint rhs vectors, by default the one corresponding to the first qoi. Creates the vector if it doesn't already exist.

Definition at line 1021 of file system.C.

References libMesh::System::add_vector().

Referenced by libMesh::ExplicitSystem::assemble_qoi_derivative(), and libMesh::FEMSystem::assemble_qoi_derivative().

 {
   std::ostringstream adjoint_rhs_name;
   adjoint_rhs_name << "adjoint_rhs" << i;
 
   return this->add_vector(adjoint_rhs_name.str(), false);
 }

◆ add_adjoint_solution()

NumericVector< Number > & libMesh::System::add_adjoint_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's adjoint solution vectors, by default the one corresponding to the first qoi. Creates the vector if it doesn't already exist.

Definition at line 957 of file system.C.

References libMesh::System::add_vector(), and libMesh::System::set_vector_as_adjoint().

Referenced by libMesh::ImplicitSystem::adjoint_solve().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "adjoint_solution" << i;
 
   NumericVector<Number> & returnval = this->add_vector(adjoint_name.str());
   this->set_vector_as_adjoint(adjoint_name.str(), i);
   return returnval;
 }

◆ add_matrix()

SparseMatrix< Number > & libMesh::ImplicitSystem::add_matrix ( const std::string & mat_name )

inherited

Adds the additional matrix mat_name to this system. Only allowed prior to assemble(). All additional matrices have the same sparsity pattern as the matrix used during solution. When not System but the user wants to initialize the mayor matrix, then all the additional matrices, if existent, have to be initialized by the user, too.

Definition at line 203 of file implicit_system.C.

References libMesh::ImplicitSystem::_can_add_matrices, libMesh::ImplicitSystem::_matrices, libMesh::SparseMatrix< T >::build(), libMesh::ParallelObject::comm(), and libMesh::ImplicitSystem::have_matrix().

Referenced by libMesh::ImplicitSystem::add_system_matrix(), libMesh::EigenTimeSolver::init(), and libMesh::NewmarkSystem::NewmarkSystem().

 {
   // only add matrices before initializing...
   if (!_can_add_matrices)
     libmesh_error_msg("ERROR: Too late.  Cannot add matrices to the system after initialization"
                       << "\n any more.  You should have done this earlier.");
 
   // Return the matrix if it is already there.
   if (this->have_matrix(mat_name))
     return *(_matrices[mat_name]);
 
   // Otherwise build the matrix and return it.
   SparseMatrix<Number> * buf = SparseMatrix<Number>::build(this->comm()).release();
   _matrices.insert (std::make_pair (mat_name, buf));
 
   return *buf;
 }

◆ add_scaled_Aq()

void libMesh::RBConstruction::add_scaled_Aq	(	Number	scalar,
		unsigned int	q_a,
		SparseMatrix< Number > *	input_matrix,
		bool	symmetrize
	)

Add the scaled q^th affine matrix to input_matrix. If symmetrize==true, then we symmetrize Aq before adding it.

◆ add_scaled_matrix_and_vector()

void libMesh::RBConstruction::add_scaled_matrix_and_vector	(	Number	scalar,
		ElemAssembly *	elem_assembly,
		SparseMatrix< Number > *	input_matrix,
		NumericVector< Number > *	input_vector,
		bool	symmetrize = `false`,
		bool	apply_dof_constraints = `true`
	)

protected

This function loops over the mesh and applies the specified interior and/or boundary assembly routines, then adds the scaled result to input_matrix and/or input_vector. If symmetrize==true then we assemble the symmetric part of the matrix, 0.5*(A + A^T)

◆ add_sensitivity_rhs()

NumericVector< Number > & libMesh::System::add_sensitivity_rhs ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's sensitivity rhs vectors, by default the one corresponding to the first parameter. Creates the vector if it doesn't already exist.

Definition at line 1051 of file system.C.

References libMesh::System::add_vector().

Referenced by libMesh::ImplicitSystem::assemble_residual_derivatives().

 {
   std::ostringstream sensitivity_rhs_name;
   sensitivity_rhs_name << "sensitivity_rhs" << i;
 
   return this->add_vector(sensitivity_rhs_name.str(), false);
 }

◆ add_sensitivity_solution()

NumericVector< Number > & libMesh::System::add_sensitivity_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's solution sensitivity vectors, by default the one corresponding to the first parameter. Creates the vector if it doesn't already exist.

Definition at line 906 of file system.C.

References libMesh::System::add_vector().

Referenced by libMesh::ImplicitSystem::sensitivity_solve().

 {
   std::ostringstream sensitivity_name;
   sensitivity_name << "sensitivity_solution" << i;
 
   return this->add_vector(sensitivity_name.str());
 }

◆ add_variable() [1/2]

unsigned int libMesh::System::add_variable	(	const std::string &	var,
		const FEType &	type,
		const std::set< subdomain_id_type > *const	active_subdomains = `nullptr`
	)

inherited

Adds the variable var to the list of variables for this system.

Returns: The index number for the new variable.

Definition at line 1081 of file system.C.

References libMesh::System::_variable_groups, libMesh::System::_variable_numbers, libMesh::System::_variables, libMesh::System::add_variables(), libMesh::VariableGroup::append(), libMesh::System::identify_variable_groups(), libMesh::System::is_initialized(), libMesh::System::n_variable_groups(), libMesh::System::n_vars(), libMesh::System::number(), libMesh::System::variable_name(), and libMesh::System::variable_type().

Referenced by libMesh::DifferentiableSystem::add_second_order_dot_vars(), libMesh::System::add_variable(), libMesh::ErrorVector::plot_error(), and libMesh::System::read_header().

 {
   libmesh_assert(!this->is_initialized());
 
   // Make sure the variable isn't there already
   // or if it is, that it's the type we want
   for (unsigned int v=0; v<this->n_vars(); v++)
     if (this->variable_name(v) == var)
       {
         if (this->variable_type(v) == type)
           return _variables[v].number();
 
         libmesh_error_msg("ERROR: incompatible variable " << var << " has already been added for this system!");
       }
 
   // Optimize for VariableGroups here - if the user is adding multiple
   // variables of the same FEType and subdomain restriction, catch
   // that here and add them as members of the same VariableGroup.
   //
   // start by setting this flag to whatever the user has requested
   // and then consider the conditions which should negate it.
   bool should_be_in_vg = this->identify_variable_groups();
 
   // No variable groups, nothing to add to
   if (!this->n_variable_groups())
     should_be_in_vg = false;
 
   else
     {
       VariableGroup & vg(_variable_groups.back());
 
       // get a pointer to their subdomain restriction, if any.
       const std::set<subdomain_id_type> * const
         their_active_subdomains (vg.implicitly_active() ?
                                  nullptr : &vg.active_subdomains());
 
       // Different types?
       if (vg.type() != type)
         should_be_in_vg = false;
 
       // they are restricted, we aren't?
       if (their_active_subdomains && !active_subdomains)
         should_be_in_vg = false;
 
       // they aren't restricted, we are?
       if (!their_active_subdomains && active_subdomains)
         should_be_in_vg = false;
 
       if (their_active_subdomains && active_subdomains)
         // restricted to different sets?
         if (*their_active_subdomains != *active_subdomains)
           should_be_in_vg = false;
 
       // OK, after all that, append the variable to the vg if none of the conditions
       // were violated
       if (should_be_in_vg)
         {
           const unsigned short curr_n_vars = cast_int<unsigned short>
             (this->n_vars());
 
           vg.append (var);
 
           _variables.push_back(vg(vg.n_variables()-1));
           _variable_numbers[var] = curr_n_vars;
           return curr_n_vars;
         }
     }
 
   // otherwise, fall back to adding a single variable group
   return this->add_variables (std::vector<std::string>(1, var),
                               type,
                               active_subdomains);
 }

◆ add_variable() [2/2]

unsigned int libMesh::System::add_variable	(	const std::string &	var,
		const Order	order = `FIRST`,
		const FEFamily	family = `LAGRANGE`,
		const std::set< subdomain_id_type > *const	active_subdomains = `nullptr`
	)

inherited

Adds the variable var to the list of variables for this system. Same as before, but assumes LAGRANGE as default value for FEType.family.

Definition at line 1159 of file system.C.

References libMesh::System::add_variable().

 {
   return this->add_variable(var,
                             FEType(order, family),
                             active_subdomains);
 }

◆ add_variables() [1/2]

unsigned int libMesh::System::add_variables	(	const std::vector< std::string > &	vars,
		const FEType &	type,
		const std::set< subdomain_id_type > *const	active_subdomains = `nullptr`
	)

inherited

Adds the variable var to the list of variables for this system.

Returns: The index number for the new variable.

Definition at line 1171 of file system.C.

References libMesh::System::_variable_groups, libMesh::System::_variable_numbers, libMesh::System::_variables, libMesh::System::is_initialized(), libMesh::System::n_components(), libMesh::System::n_vars(), libMesh::System::number(), libMesh::System::variable_name(), and libMesh::System::variable_type().

Referenced by libMesh::System::add_variable(), and libMesh::System::add_variables().

 {
   libmesh_assert(!this->is_initialized());
 
   // Make sure the variable isn't there already
   // or if it is, that it's the type we want
   for (std::size_t ov=0; ov<vars.size(); ov++)
     for (unsigned int v=0; v<this->n_vars(); v++)
       if (this->variable_name(v) == vars[ov])
         {
           if (this->variable_type(v) == type)
             return _variables[v].number();
 
           libmesh_error_msg("ERROR: incompatible variable " << vars[ov] << " has already been added for this system!");
         }
 
   const unsigned short curr_n_vars = cast_int<unsigned short>
     (this->n_vars());
 
   const unsigned int next_first_component = this->n_components();
 
   // Add the variable group to the list
   _variable_groups.push_back((active_subdomains == nullptr) ?
                              VariableGroup(this, vars, curr_n_vars,
                                            next_first_component, type) :
                              VariableGroup(this, vars, curr_n_vars,
                                            next_first_component, type, *active_subdomains));
 
   const VariableGroup & vg (_variable_groups.back());
 
   // Add each component of the group individually
   for (auto v : IntRange<unsigned int>(0, vars.size()))
     {
       _variables.push_back (vg(v));
       _variable_numbers[vars[v]] = cast_int<unsigned short>
         (curr_n_vars+v);
     }
 
   libmesh_assert_equal_to ((curr_n_vars+vars.size()), this->n_vars());
 
   // BSK - Defer this now to System::init_data() so we can detect
   // VariableGroups 12/28/2012
   // // Add the variable group to the _dof_map
   // _dof_map->add_variable_group (vg);
 
   // Return the number of the new variable
   return cast_int<unsigned int>(curr_n_vars+vars.size()-1);
 }

◆ add_variables() [2/2]

unsigned int libMesh::System::add_variables	(	const std::vector< std::string > &	vars,
		const Order	order = `FIRST`,
		const FEFamily	family = `LAGRANGE`,
		const std::set< subdomain_id_type > *const	active_subdomains = `nullptr`
	)

inherited

Adds the variable var to the list of variables for this system. Same as before, but assumes LAGRANGE as default value for FEType.family.

Definition at line 1224 of file system.C.

References libMesh::System::add_variables().

 {
   return this->add_variables(vars,
                              FEType(order, family),
                              active_subdomains);
 }

◆ add_vector()

NumericVector< Number > & libMesh::System::add_vector	(	const std::string &	vec_name,
		const bool	projections = `true`,
		const ParallelType	type = `PARALLEL`
	)

inherited

Adds the additional vector vec_name to this system. All the additional vectors are similarly distributed, like the solution, and initialized to zero.

By default vectors added by add_vector are projected to changed grids by reinit(). To zero them instead (more efficient), pass "false" as the second argument

Definition at line 661 of file system.C.

References libMesh::System::_dof_map, libMesh::System::_is_initialized, libMesh::System::_vector_is_adjoint, libMesh::System::_vector_projections, libMesh::System::_vector_types, libMesh::System::_vectors, libMesh::NumericVector< T >::build(), libMesh::ParallelObject::comm(), libMesh::GHOSTED, libMesh::System::have_vector(), libMesh::NumericVector< T >::init(), libMesh::System::n_dofs(), and libMesh::System::n_local_dofs().

Referenced by libMesh::System::add_adjoint_rhs(), libMesh::System::add_adjoint_solution(), libMesh::System::add_sensitivity_rhs(), libMesh::System::add_sensitivity_solution(), libMesh::ExplicitSystem::add_system_rhs(), libMesh::System::add_weighted_sensitivity_adjoint_solution(), libMesh::System::add_weighted_sensitivity_solution(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::SecondOrderUnsteadySolver::init(), libMesh::UnsteadySolver::init(), libMesh::OptimizationSystem::init_data(), libMesh::ContinuationSystem::init_data(), libMesh::NewmarkSystem::NewmarkSystem(), libMesh::System::read_header(), libMesh::FrequencySystem::set_frequencies(), libMesh::FrequencySystem::set_frequencies_by_range(), and libMesh::FrequencySystem::set_frequencies_by_steps().

 {
   // Return the vector if it is already there.
   if (this->have_vector(vec_name))
     return *(_vectors[vec_name]);
 
   // Otherwise build the vector
   NumericVector<Number> * buf = NumericVector<Number>::build(this->comm()).release();
   _vectors.insert (std::make_pair (vec_name, buf));
   _vector_projections.insert (std::make_pair (vec_name, projections));
 
   _vector_types.insert (std::make_pair (vec_name, type));
 
   // Vectors are primal by default
   _vector_is_adjoint.insert (std::make_pair (vec_name, -1));
 
   // Initialize it if necessary
   if (_is_initialized)
     {
       if (type == GHOSTED)
         {
 #ifdef LIBMESH_ENABLE_GHOSTED
           buf->init (this->n_dofs(), this->n_local_dofs(),
                      _dof_map->get_send_list(), false,
                      GHOSTED);
 #else
           libmesh_error_msg("Cannot initialize ghosted vectors when they are not enabled.");
 #endif
         }
       else
         buf->init (this->n_dofs(), this->n_local_dofs(), false, type);
     }
 
   return *buf;
 }

◆ add_weighted_sensitivity_adjoint_solution()

NumericVector< Number > & libMesh::System::add_weighted_sensitivity_adjoint_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's weighted sensitivity adjoint solution vectors, by default the one corresponding to the first qoi. Creates the vector if it doesn't already exist.

Definition at line 989 of file system.C.

References libMesh::System::add_vector(), and libMesh::System::set_vector_as_adjoint().

Referenced by libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "weighted_sensitivity_adjoint_solution" << i;
 
   NumericVector<Number> & returnval = this->add_vector(adjoint_name.str());
   this->set_vector_as_adjoint(adjoint_name.str(), i);
   return returnval;
 }

◆ add_weighted_sensitivity_solution()

NumericVector< Number > & libMesh::System::add_weighted_sensitivity_solution ( )

inherited

Returns: A reference to the solution of the last weighted sensitivity solve Creates the vector if it doesn't already exist.

Definition at line 936 of file system.C.

References libMesh::System::add_vector().

Referenced by libMesh::ImplicitSystem::weighted_sensitivity_solve().

 {
   return this->add_vector("weighted_sensitivity_solution");
 }

◆ adjoint_qoi_parameter_sensitivity()

void libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity	(	const QoISet &	qoi_indices,
		const ParameterVector &	parameters,
		SensitivityData &	sensitivities
	)

overridevirtualinherited

Solves for the derivative of each of the system's quantities of interest q in qoi[qoi_indices] with respect to each parameter in parameters, placing the result for qoi i and parameter j into sensitivities[i][j].

Uses adjoint_solve() and the adjoint sensitivity method.

Currently uses finite differenced derivatives (partial q / partial p) and (partial R / partial p).

Reimplemented from libMesh::System.

Definition at line 697 of file implicit_system.C.

References std::abs(), libMesh::ImplicitSystem::adjoint_solve(), libMesh::SensitivityData::allocate_data(), libMesh::ExplicitSystem::assemble_qoi(), libMesh::ImplicitSystem::assemble_residual_derivatives(), libMesh::NumericVector< T >::dot(), libMesh::System::get_sensitivity_rhs(), libMesh::QoISet::has_index(), libMesh::System::is_adjoint_already_solved(), std::max(), libMesh::System::n_qois(), libMesh::System::qoi, libMesh::Real, libMesh::ParameterVector::size(), and libMesh::TOLERANCE.

 {
   ParameterVector & parameters =
     const_cast<ParameterVector &>(parameters_in);
 
   const unsigned int Np = cast_int<unsigned int>
     (parameters.size());
   const unsigned int Nq = this->n_qois();
 
   // An introduction to the problem:
   //
   // Residual R(u(p),p) = 0
   // partial R / partial u = J = system matrix
   //
   // This implies that:
   // d/dp(R) = 0
   // (partial R / partial p) +
   // (partial R / partial u) * (partial u / partial p) = 0
 
   // We first do an adjoint solve:
   // J^T * z = (partial q / partial u)
   // if we havent already or dont have an initial condition for the adjoint
   if (!this->is_adjoint_already_solved())
     {
       this->adjoint_solve(qoi_indices);
     }
 
   this->assemble_residual_derivatives(parameters_in);
 
   // Get ready to fill in sensitivities:
   sensitivities.allocate_data(qoi_indices, *this, parameters);
 
   // We use the identities:
   // dq/dp = (partial q / partial p) + (partial q / partial u) *
   //         (partial u / partial p)
   // dq/dp = (partial q / partial p) + (J^T * z) *
   //         (partial u / partial p)
   // dq/dp = (partial q / partial p) + z * J *
   //         (partial u / partial p)
 
   // Leading to our final formula:
   // dq/dp = (partial q / partial p) - z * (partial R / partial p)
 
   // In the case of adjoints with heterogenous Dirichlet boundary
   // function phi, where
   // q :=  S(u) - R(u,phi)
   // the final formula works out to:
   // dq/dp = (partial S / partial p) - z * (partial R / partial p)
   // Because we currently have no direct access to
   // (partial S / partial p), we use the identity
   // (partial S / partial p) = (partial q / partial p) +
   //                           phi * (partial R / partial p)
   // to derive an equivalent equation:
   // dq/dp = (partial q / partial p) - (z-phi) * (partial R / partial p)
 
   // Since z-phi degrees of freedom are zero for constrained indices,
   // we can use the same constrained -(partial R / partial p) that we
   // use for forward sensitivity solves, taking into account the
   // differing sign convention.
   //
   // Since that vector is constrained, its constrained indices are
   // zero, so its product with phi is zero, so we can neglect the
   // evaluation of phi terms.
 
   for (unsigned int j=0; j != Np; ++j)
     {
       // We currently get partial derivatives via central differencing
 
       // (partial q / partial p) ~= (q(p+dp)-q(p-dp))/(2*dp)
       // (partial R / partial p) ~= (rhs(p+dp) - rhs(p-dp))/(2*dp)
 
       Number old_parameter = *parameters[j];
 
       const Real delta_p =
         TOLERANCE * std::max(std::abs(old_parameter), 1e-3);
 
       *parameters[j] = old_parameter - delta_p;
       this->assemble_qoi(qoi_indices);
       std::vector<Number> qoi_minus = this->qoi;
 
       NumericVector<Number> & neg_partialR_partialp = this->get_sensitivity_rhs(j);
 
       *parameters[j] = old_parameter + delta_p;
       this->assemble_qoi(qoi_indices);
       std::vector<Number> & qoi_plus = this->qoi;
 
       std::vector<Number> partialq_partialp(Nq, 0);
       for (unsigned int i=0; i != Nq; ++i)
         if (qoi_indices.has_index(i))
           partialq_partialp[i] = (qoi_plus[i] - qoi_minus[i]) / (2.*delta_p);
 
       // Don't leave the parameter changed
       *parameters[j] = old_parameter;
 
       for (unsigned int i=0; i != Nq; ++i)
         if (qoi_indices.has_index(i))
           sensitivities[i][j] = partialq_partialp[i] +
             neg_partialR_partialp.dot(this->get_adjoint_solution(i));
     }
 
   // All parameters have been reset.
   // Reset the original qoi.
 
   this->assemble_qoi(qoi_indices);
 }

◆ adjoint_solve()

std::pair< unsigned int, Real > libMesh::ImplicitSystem::adjoint_solve ( const QoISet & qoi_indices = QoISet() )

overridevirtualinherited

Assembles & solves the linear system (dR/du)^T*z = dq/du, for those quantities of interest q specified by qoi_indices.

Leave qoi_indices empty to solve all adjoint problems.

Returns: A pair with the total number of linear iterations performed and the (sum of the) final residual norms

Reimplemented from libMesh::System.

Reimplemented in libMesh::DifferentiableSystem.

Definition at line 372 of file implicit_system.C.

References libMesh::System::add_adjoint_solution(), libMesh::LinearSolver< T >::adjoint_solve(), libMesh::System::assemble_before_solve, libMesh::ExplicitSystem::assemble_qoi_derivative(), libMesh::ImplicitSystem::assembly(), libMesh::DofMap::enforce_adjoint_constraints_exactly(), libMesh::System::get_adjoint_rhs(), libMesh::System::get_adjoint_solution(), libMesh::System::get_dof_map(), libMesh::ImplicitSystem::get_linear_solve_parameters(), libMesh::ImplicitSystem::get_linear_solver(), libMesh::QoISet::has_index(), libMesh::ImplicitSystem::matrix, libMesh::System::n_qois(), and libMesh::ImplicitSystem::release_linear_solver().

Referenced by libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), libMesh::DifferentiableSystem::adjoint_solve(), libMesh::ImplicitSystem::qoi_parameter_hessian(), and libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product().

 {
   // Log how long the linear solve takes.
   LOG_SCOPE("adjoint_solve()", "ImplicitSystem");
 
   if (this->assemble_before_solve)
     // Assemble the linear system
     this->assembly (/* get_residual = */ false,
                     /* get_jacobian = */ true);
 
   // The adjoint problem is linear
   LinearSolver<Number> * linear_solver = this->get_linear_solver();
 
   // Reset and build the RHS from the QOI derivative
   this->assemble_qoi_derivative(qoi_indices,
                                 /* include_liftfunc = */ false,
                                 /* apply_constraints = */ true);
 
   // Our iteration counts and residuals will be sums of the individual
   // results
   std::pair<unsigned int, Real> solver_params =
     this->get_linear_solve_parameters();
   std::pair<unsigned int, Real> totalrval = std::make_pair(0,0.0);
 
   for (unsigned int i=0; i != this->n_qois(); ++i)
     if (qoi_indices.has_index(i))
       {
         const std::pair<unsigned int, Real> rval =
           linear_solver->adjoint_solve (*matrix, this->add_adjoint_solution(i),
                                         this->get_adjoint_rhs(i),
                                         solver_params.second,
                                         solver_params.first);
 
         totalrval.first  += rval.first;
         totalrval.second += rval.second;
       }
 
   this->release_linear_solver(linear_solver);
 
   // The linear solver may not have fit our constraints exactly
 #ifdef LIBMESH_ENABLE_CONSTRAINTS
   for (unsigned int i=0; i != this->n_qois(); ++i)
     if (qoi_indices.has_index(i))
       this->get_dof_map().enforce_adjoint_constraints_exactly
         (this->get_adjoint_solution(i), i);
 #endif
 
   return totalrval;
 }

◆ allocate_data_structures()

virtual void libMesh::RBConstruction::allocate_data_structures ( )

protectedvirtual

Helper function that actually allocates all the data structures required by this class.

Reimplemented in libMesh::TransientRBConstruction.

◆ assemble()

virtual void libMesh::LinearImplicitSystem::assemble ( )

inlineoverridevirtualinherited

Prepares matrix and _dof_map for matrix assembly. Does not actually assemble anything. For matrix assembly, use the assemble() in derived classes. Should be overridden in derived classes.

Reimplemented from libMesh::ImplicitSystem.

Reimplemented in libMesh::FrequencySystem, and libMesh::NewmarkSystem.

Definition at line 110 of file linear_implicit_system.h.

References libMesh::ImplicitSystem::assemble().

Referenced by libMesh::NewmarkSystem::assemble(), libMesh::FrequencySystem::assemble(), libMesh::LinearImplicitSystem::assembly(), and libMesh::LinearImplicitSystem::solve().

110 { ImplicitSystem::assemble(); }

libMesh::ImplicitSystem::assemble

virtual void assemble() override

Definition: implicit_system.C:184

◆ assemble_affine_expansion()

virtual void libMesh::RBConstruction::assemble_affine_expansion	(	bool	skip_matrix_assembly,
		bool	skip_vector_assembly
	)

virtual

Assemble the matrices and vectors for this system. Optionally skip matrix or vector assembly (e.g. we may want to read data in from disk instead).

Reimplemented in libMesh::TransientRBConstruction.

◆ assemble_all_affine_operators()

virtual void libMesh::RBConstruction::assemble_all_affine_operators ( )

protectedvirtual

Assemble and store all Q_a affine operators as well as the inner-product matrix.

Reimplemented in libMesh::TransientRBConstruction.

◆ assemble_all_affine_vectors()

virtual void libMesh::RBConstruction::assemble_all_affine_vectors ( )

protectedvirtual

Assemble and store the affine RHS vectors.

◆ assemble_all_output_vectors()

virtual void libMesh::RBConstruction::assemble_all_output_vectors ( )

protectedvirtual

Assemble and store the output vectors.

◆ assemble_Aq_matrix()

void libMesh::RBConstruction::assemble_Aq_matrix	(	unsigned int	q,
		SparseMatrix< Number > *	input_matrix,
		bool	apply_dof_constraints = `true`
	)

Assemble the q^th affine matrix and store it in input_matrix.

◆ assemble_Fq_vector()

void libMesh::RBConstruction::assemble_Fq_vector	(	unsigned int	q,
		NumericVector< Number > *	input_vector,
		bool	apply_dof_constraints = `true`
	)

Assemble the q^th affine vector and store it in input_matrix.

◆ assemble_inner_product_matrix()

void libMesh::RBConstruction::assemble_inner_product_matrix	(	SparseMatrix< Number > *	input_matrix,
		bool	apply_dof_constraints = `true`
	)

Assemble the inner product matrix and store it in input_matrix.

◆ assemble_misc_matrices()

virtual void libMesh::RBConstruction::assemble_misc_matrices ( )

protectedvirtual

Assemble and store all the inner-product matrix, the constraint matrix (for constrained problems) and the mass matrix (for time-dependent problems).

Reimplemented in libMesh::TransientRBConstruction.

◆ assemble_qoi()

void libMesh::ExplicitSystem::assemble_qoi ( const QoISet & qoi_indices = QoISet() )

overridevirtualinherited

Prepares qoi for quantity of interest assembly, then calls user qoi function. Can be overridden in derived classes.

Reimplemented from libMesh::System.

Reimplemented in libMesh::FEMSystem.

Definition at line 56 of file explicit_system.C.

References libMesh::System::assemble_qoi(), libMesh::QoISet::has_index(), libMesh::System::n_qois(), and libMesh::System::qoi.

Referenced by libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::qoi_parameter_hessian(), and libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product().

 {
   // The user quantity of interest assembly gets to expect to
   // accumulate on initially zero values
   for (unsigned int i=0; i != this->n_qois(); ++i)
     if (qoi_indices.has_index(i))
       qoi[i] = 0;
 
   Parent::assemble_qoi (qoi_indices);
 }

◆ assemble_qoi_derivative()

void libMesh::ExplicitSystem::assemble_qoi_derivative	(	const QoISet &	qoi_indices = `QoISet()`,
		bool	include_liftfunc = `true`,
		bool	apply_constraints = `true`
	)

overridevirtualinherited

Prepares adjoint_rhs for quantity of interest derivative assembly, then calls user qoi derivative function. Can be overridden in derived classes.

Reimplemented from libMesh::System.

Reimplemented in libMesh::FEMSystem.

Definition at line 69 of file explicit_system.C.

References libMesh::System::add_adjoint_rhs(), libMesh::System::assemble_qoi_derivative(), libMesh::QoISet::has_index(), libMesh::System::n_qois(), and libMesh::NumericVector< T >::zero().

Referenced by libMesh::ImplicitSystem::adjoint_solve(), libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::qoi_parameter_hessian(), libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), and libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   // The user quantity of interest derivative assembly gets to expect
   // to accumulate on initially zero vectors
   for (unsigned int i=0; i != this->n_qois(); ++i)
     if (qoi_indices.has_index(i))
       this->add_adjoint_rhs(i).zero();
 
   Parent::assemble_qoi_derivative (qoi_indices, include_liftfunc,
                                    apply_constraints);
 }

◆ assemble_residual_derivatives()

void libMesh::ImplicitSystem::assemble_residual_derivatives ( const ParameterVector & parameters )

overridevirtualinherited

Residual parameter derivative function.

Uses finite differences by default.

This will assemble the sensitivity rhs vectors to hold -(partial R / partial p_i), making them ready to solve the forward sensitivity equation.

Can be overridden in derived classes.

Reimplemented from libMesh::System.

Definition at line 654 of file implicit_system.C.

References std::abs(), libMesh::System::add_sensitivity_rhs(), libMesh::ImplicitSystem::assembly(), libMesh::NumericVector< T >::close(), std::max(), libMesh::Real, libMesh::ExplicitSystem::rhs, libMesh::ParameterVector::size(), and libMesh::TOLERANCE.

Referenced by libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), and libMesh::ImplicitSystem::sensitivity_solve().

 {
   ParameterVector & parameters =
     const_cast<ParameterVector &>(parameters_in);
 
   const unsigned int Np = cast_int<unsigned int>
     (parameters.size());
 
   for (unsigned int p=0; p != Np; ++p)
     {
       NumericVector<Number> & sensitivity_rhs = this->add_sensitivity_rhs(p);
 
       // Approximate -(partial R / partial p) by
       // (R(p-dp) - R(p+dp)) / (2*dp)
 
       Number old_parameter = *parameters[p];
 
       const Real delta_p =
         TOLERANCE * std::max(std::abs(old_parameter), 1e-3);
 
       *parameters[p] -= delta_p;
 
       //      this->assembly(true, false, true);
       this->assembly(true, false, false);
       this->rhs->close();
       sensitivity_rhs = *this->rhs;
 
       *parameters[p] = old_parameter + delta_p;
 
       //      this->assembly(true, false, true);
       this->assembly(true, false, false);
       this->rhs->close();
 
       sensitivity_rhs -= *this->rhs;
       sensitivity_rhs /= (2*delta_p);
       sensitivity_rhs.close();
 
       *parameters[p] = old_parameter;
     }
 }

◆ assembly()

void libMesh::LinearImplicitSystem::assembly	(	bool	get_residual,
		bool	get_jacobian,
		bool	apply_heterogeneous_constraints = `false`,
		bool	apply_no_constraints = `false`
	)

overridevirtualinherited

Assembles a residual in rhs and/or a jacobian in matrix, as requested.

Reimplemented from libMesh::ImplicitSystem.

Definition at line 366 of file linear_implicit_system.C.

References libMesh::NumericVector< T >::add_vector(), libMesh::LinearImplicitSystem::assemble(), libMesh::NumericVector< T >::close(), libMesh::SparseMatrix< T >::close(), libMesh::ImplicitSystem::matrix, libMesh::ExplicitSystem::rhs, and libMesh::System::solution.

 {
   // Residual R(u(p),p) := A(p)*u(p) - b(p)
   // partial R / partial u = A
 
   this->assemble();
   this->rhs->close();
   this->matrix->close();
 
   *(this->rhs) *= -1.0;
   this->rhs->add_vector(*this->solution, *this->matrix);
 }

◆ attach_assemble_function()

void libMesh::System::attach_assemble_function ( void fptrEquationSystems &es, const std::string &name )

inherited

Register a user function to use in assembling the system matrix and RHS.

Definition at line 1777 of file system.C.

References libMesh::System::_assemble_system_function, libMesh::System::_assemble_system_object, and libMesh::out.

 {
   libmesh_assert(fptr);
 
   if (_assemble_system_object != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both assembly function and object!"
                    << std::endl;
 
       _assemble_system_object = nullptr;
     }
 
   _assemble_system_function = fptr;
 }

◆ attach_assemble_object()

void libMesh::System::attach_assemble_object ( System::Assembly & assemble_in )

inherited

Register a user object to use in assembling the system matrix and RHS.

Definition at line 1796 of file system.C.

References libMesh::System::_assemble_system_function, libMesh::System::_assemble_system_object, and libMesh::out.

 {
   if (_assemble_system_function != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both assembly object and function!"
                    << std::endl;
 
       _assemble_system_function = nullptr;
     }
 
   _assemble_system_object = &assemble_in;
 }

◆ attach_constraint_function()

void libMesh::System::attach_constraint_function ( void fptrEquationSystems &es, const std::string &name )

inherited

Register a user function for imposing constraints.

Definition at line 1812 of file system.C.

References libMesh::System::_constrain_system_function, libMesh::System::_constrain_system_object, and libMesh::out.

 {
   libmesh_assert(fptr);
 
   if (_constrain_system_object != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both constraint function and object!"
                    << std::endl;
 
       _constrain_system_object = nullptr;
     }
 
   _constrain_system_function = fptr;
 }

◆ attach_constraint_object()

void libMesh::System::attach_constraint_object ( System::Constraint & constrain )

inherited

Register a user object for imposing constraints.

Definition at line 1831 of file system.C.

References libMesh::System::_constrain_system_function, libMesh::System::_constrain_system_object, and libMesh::out.

 {
   if (_constrain_system_function != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both constraint object and function!"
                    << std::endl;
 
       _constrain_system_function = nullptr;
     }
 
   _constrain_system_object = &constrain;
 }

◆ attach_init_function()

void libMesh::System::attach_init_function ( void fptrEquationSystems &es, const std::string &name )

inherited

Register a user function to use in initializing the system.

Definition at line 1742 of file system.C.

References libMesh::System::_init_system_function, libMesh::System::_init_system_object, and libMesh::out.

 {
   libmesh_assert(fptr);
 
   if (_init_system_object != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both initialization function and object!"
                    << std::endl;
 
       _init_system_object = nullptr;
     }
 
   _init_system_function = fptr;
 }

◆ attach_init_object()

void libMesh::System::attach_init_object ( System::Initialization & init_in )

inherited

Register a user class to use to initialize the system.

Note: This is exclusive with the attach_init_function.

Definition at line 1761 of file system.C.

References libMesh::System::_init_system_function, libMesh::System::_init_system_object, and libMesh::out.

 {
   if (_init_system_function != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both initialization object and function!"
                    << std::endl;
 
       _init_system_function = nullptr;
     }
 
   _init_system_object = &init_in;
 }

◆ attach_QOI_derivative()

void libMesh::System::attach_QOI_derivative ( void fptrEquationSystems &es, const std::string &name, const QoISet &qoi_indices, bool include_liftfunc, bool apply_constraints )

inherited

Register a user function for evaluating derivatives of a quantity of interest with respect to test functions, whose values should be placed in System::rhs

Definition at line 1883 of file system.C.

References libMesh::System::_qoi_evaluate_derivative_function, libMesh::System::_qoi_evaluate_derivative_object, and libMesh::out.

 {
   libmesh_assert(fptr);
 
   if (_qoi_evaluate_derivative_object != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both QOI derivative function and object!"
                    << std::endl;
 
       _qoi_evaluate_derivative_object = nullptr;
     }
 
   _qoi_evaluate_derivative_function = fptr;
 }

◆ attach_QOI_derivative_object()

void libMesh::System::attach_QOI_derivative_object ( QOIDerivative & qoi_derivative )

inherited

Register a user object for evaluating derivatives of a quantity of interest with respect to test functions, whose values should be placed in System::rhs

Definition at line 1902 of file system.C.

References libMesh::System::_qoi_evaluate_derivative_function, libMesh::System::_qoi_evaluate_derivative_object, and libMesh::out.

 {
   if (_qoi_evaluate_derivative_function != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both QOI derivative object and function!"
                    << std::endl;
 
       _qoi_evaluate_derivative_function = nullptr;
     }
 
   _qoi_evaluate_derivative_object = &qoi_derivative;
 }

◆ attach_QOI_function()

void libMesh::System::attach_QOI_function ( void fptrEquationSystems &es, const std::string &name, const QoISet &qoi_indices )

inherited

Register a user function for evaluating the quantities of interest, whose values should be placed in System::qoi

Definition at line 1847 of file system.C.

References libMesh::System::_qoi_evaluate_function, libMesh::System::_qoi_evaluate_object, and libMesh::out.

 {
   libmesh_assert(fptr);
 
   if (_qoi_evaluate_object != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both QOI function and object!"
                    << std::endl;
 
       _qoi_evaluate_object = nullptr;
     }
 
   _qoi_evaluate_function = fptr;
 }

◆ attach_QOI_object()

void libMesh::System::attach_QOI_object ( QOI & qoi )

inherited

Register a user object for evaluating the quantities of interest, whose values should be placed in System::qoi

Definition at line 1867 of file system.C.

References libMesh::System::_qoi_evaluate_function, libMesh::System::_qoi_evaluate_object, and libMesh::out.

 {
   if (_qoi_evaluate_function != nullptr)
     {
       libmesh_here();
       libMesh::out << "WARNING:  Cannot specify both QOI object and function!"
                    << std::endl;
 
       _qoi_evaluate_function = nullptr;
     }
 
   _qoi_evaluate_object = &qoi_in;
 }

◆ attach_shell_matrix()

void libMesh::LinearImplicitSystem::attach_shell_matrix ( ShellMatrix< Number > * shell_matrix )

inherited

This function enables the user to provide a shell matrix, i.e. a matrix that is not stored element-wise, but as a function. When you register your shell matrix using this function, calling solve() will no longer use the matrix member but the registered shell matrix instead. You can reset this behaviour to its original state by supplying a nullptr to this function.

Definition at line 158 of file linear_implicit_system.C.

References libMesh::LinearImplicitSystem::_shell_matrix.

Referenced by libMesh::LinearImplicitSystem::detach_shell_matrix().

 {
   _shell_matrix = shell_matrix;
 }

◆ boundary_project_solution() [1/2]

void libMesh::System::boundary_project_solution	(	const std::set< boundary_id_type > &	b,
		const std::vector< unsigned int > &	variables,
		FunctionBase< Number > *	f,
		FunctionBase< Gradient > *	g = `nullptr`
	)

inherited

Projects arbitrary boundary functions onto a vector of degree of freedom values for the current system. Only degrees of freedom which affect the function's trace on a boundary in the set b are affected. Only degrees of freedom associated with the variables listed in the vector variables are projected. The function value f and its gradient g are user-provided cloneable functors. A gradient g is only required/used for projecting onto finite element spaces with continuous derivatives. If non-default Parameters are to be used, they can be provided in the parameters argument.

This method projects an arbitrary boundary function onto the solution via L2 projections and nodal interpolations on each element.

Definition at line 985 of file system_projection.C.

 {
   this->boundary_project_vector(b, variables, *solution, f, g);
 
   solution->localize(*current_local_solution);
 }

◆ boundary_project_solution() [2/2]

void libMesh::System::boundary_project_solution	(	const std::set< boundary_id_type > &	b,
		const std::vector< unsigned int > &	variables,
		ValueFunctionPointer	fptr,
		GradientFunctionPointer	gptr,
		const Parameters &	parameters
	)

inherited

Projects arbitrary boundary functions onto a vector of degree of freedom values for the current system. Only degrees of freedom which affect the function's trace on a boundary in the set b are affected. Only degrees of freedom associated with the variables listed in the vector variables are projected. The function value fptr and its gradient gptr are represented by function pointers. A gradient gptr is only required/used for projecting onto finite element spaces with continuous derivatives.

This method projects components of an arbitrary boundary function onto the solution via L2 projections and nodal interpolations on each element.

Definition at line 968 of file system_projection.C.

 {
   WrappedFunction<Number> f(*this, fptr, &parameters);
   WrappedFunction<Gradient> g(*this, gptr, &parameters);
   this->boundary_project_solution(b, variables, &f, &g);
 }

◆ boundary_project_vector() [1/2]

void libMesh::System::boundary_project_vector	(	const std::set< boundary_id_type > &	b,
		const std::vector< unsigned int > &	variables,
		NumericVector< Number > &	new_vector,
		FunctionBase< Number > *	f,
		FunctionBase< Gradient > *	g = `nullptr`,
		int	is_adjoint = `-1`
	)		const

inherited

Projects arbitrary boundary functions onto a vector of degree of freedom values for the current system. Only degrees of freedom which affect the function's trace on a boundary in the set b are affected. Only degrees of freedom associated with the variables listed in the vector variables are projected. The function value f and its gradient g are user-provided cloneable functors. A gradient g is only required/used for projecting onto finite element spaces with continuous derivatives. If non-default Parameters are to be used, they can be provided in the parameters argument.

Constrain the new vector using the requested adjoint rather than primal constraints if is_adjoint is non-negative.

This method projects an arbitrary function via L2 projections and nodal interpolations on each element.

Definition at line 1021 of file system_projection.C.

References libMesh::NumericVector< T >::close(), and libMesh::Threads::parallel_for().

 {
   LOG_SCOPE ("boundary_project_vector()", "System");
 
   Threads::parallel_for
     (ConstElemRange (this->get_mesh().active_local_elements_begin(),
                      this->get_mesh().active_local_elements_end() ),
      BoundaryProjectSolution(b, variables, *this, f, g,
                              this->get_equation_systems().parameters,
                              new_vector)
      );
 
   // We don't do SCALAR dofs when just projecting the boundary, so
   // we're done here.
 
   new_vector.close();
 
 #ifdef LIBMESH_ENABLE_CONSTRAINTS
   if (is_adjoint == -1)
     this->get_dof_map().enforce_constraints_exactly(*this, &new_vector);
   else if (is_adjoint >= 0)
     this->get_dof_map().enforce_adjoint_constraints_exactly(new_vector,
                                                             is_adjoint);
 #endif
 }

◆ boundary_project_vector() [2/2]

void libMesh::System::boundary_project_vector	(	const std::set< boundary_id_type > &	b,
		const std::vector< unsigned int > &	variables,
		ValueFunctionPointer	fptr,
		GradientFunctionPointer	gptr,
		const Parameters &	parameters,
		NumericVector< Number > &	new_vector,
		int	is_adjoint = `-1`
	)		const

inherited

Projects arbitrary boundary functions onto a vector of degree of freedom values for the current system. Only degrees of freedom which affect the function's trace on a boundary in the set b are affected. Only degrees of freedom associated with the variables listed in the vector variables are projected. The function value fptr and its gradient gptr are represented by function pointers. A gradient gptr is only required/used for projecting onto finite element spaces with continuous derivatives.

Constrain the new vector using the requested adjoint rather than primal constraints if is_adjoint is non-negative.

This method projects an arbitrary boundary function via L2 projections and nodal interpolations on each element.

Definition at line 1003 of file system_projection.C.

 {
   WrappedFunction<Number> f(*this, fptr, &parameters);
   WrappedFunction<Gradient> g(*this, gptr, &parameters);
   this->boundary_project_vector(b, variables, new_vector, &f, &g,
                                 is_adjoint);
 }

◆ broadcast_parameters()

void libMesh::RBConstructionBase< LinearImplicitSystem >::broadcast_parameters ( unsigned int proc_id )

inherited

Broadcasts parameters on processor proc_id to all processors.

◆ build_context()

virtual std::unique_ptr<DGFEMContext> libMesh::RBConstruction::build_context ( )

protectedvirtual

Builds a DGFEMContext object with enough information to do evaluations on each element. We use DGFEMContext since it allows for both DG and continuous Galerkin formulations.

◆ build_zero_dirichlet_boundary_object()

static std::unique_ptr<DirichletBoundary> libMesh::RBConstruction::build_zero_dirichlet_boundary_object ( )

static

It's helpful to be able to generate a DirichletBoundary that stores a ZeroFunction in order to impose Dirichlet boundary conditions.

◆ calculate_norm() [1/2]

Real libMesh::System::calculate_norm	(	const NumericVector< Number > &	v,
		unsigned int	var,
		FEMNormType	norm_type,
		std::set< unsigned int > *	skip_dimensions = `nullptr`
	)		const

inherited

Returns: A norm of variable var in the vector v, in the specified norm (e.g. L2, L_INF, H1)

Definition at line 1378 of file system.C.

References libMesh::DISCRETE_L1, libMesh::DISCRETE_L2, libMesh::DISCRETE_L_INF, libMesh::System::discrete_var_norm(), libMesh::L2, libMesh::System::n_vars(), and libMesh::Real.

Referenced by libMesh::AdaptiveTimeSolver::calculate_norm(), and libMesh::UnsteadySolver::du().

 {
   //short circuit to save time
   if (norm_type == DISCRETE_L1 ||
       norm_type == DISCRETE_L2 ||
       norm_type == DISCRETE_L_INF)
     return discrete_var_norm(v,var,norm_type);
 
   // Not a discrete norm
   std::vector<FEMNormType> norms(this->n_vars(), L2);
   std::vector<Real> weights(this->n_vars(), 0.0);
   norms[var] = norm_type;
   weights[var] = 1.0;
   Real val = this->calculate_norm(v, SystemNorm(norms, weights), skip_dimensions);
   return val;
 }

◆ calculate_norm() [2/2]

Real libMesh::System::calculate_norm	(	const NumericVector< Number > &	v,
		const SystemNorm &	norm,
		std::set< unsigned int > *	skip_dimensions = `nullptr`
	)		const

inherited

Returns: A norm of the vector v, using component_norm and component_scale to choose and weight the norms of each variable.

Definition at line 1400 of file system.C.

References libMesh::System::_dof_map, libMesh::System::_mesh, std::abs(), libMesh::TypeVector< T >::add_scaled(), libMesh::TypeTensor< T >::add_scaled(), libMesh::FEGenericBase< OutputType >::build(), libMesh::NumericVector< T >::build(), libMesh::ParallelObject::comm(), libMesh::FEType::default_quadrature_rule(), libMesh::DISCRETE_L1, libMesh::DISCRETE_L2, libMesh::DISCRETE_L_INF, libMesh::System::discrete_var_norm(), libMesh::DofMap::dof_indices(), libMesh::MeshBase::elem_dimensions(), libMesh::FEGenericBase< OutputType >::get_d2phi(), libMesh::System::get_dof_map(), libMesh::FEGenericBase< OutputType >::get_dphi(), libMesh::FEAbstract::get_JxW(), libMesh::System::get_mesh(), libMesh::FEGenericBase< OutputType >::get_phi(), libMesh::H1, libMesh::H1_SEMINORM, libMesh::H2, libMesh::H2_SEMINORM, libMesh::SystemNorm::is_discrete(), libMesh::L1, libMesh::NumericVector< T >::l1_norm(), libMesh::L2, libMesh::NumericVector< T >::l2_norm(), libMesh::L_INF, libMesh::NumericVector< T >::linfty_norm(), libMesh::NumericVector< T >::localize(), std::max(), libMesh::Parallel::Communicator::max(), libMesh::QBase::n_points(), libMesh::System::n_vars(), libMesh::TypeVector< T >::norm(), libMesh::TypeTensor< T >::norm(), libMesh::TensorTools::norm_sq(), libMesh::TypeVector< T >::norm_sq(), libMesh::TypeTensor< T >::norm_sq(), libMesh::Real, libMesh::FEAbstract::reinit(), libMesh::SERIAL, libMesh::NumericVector< T >::size(), libMesh::Parallel::Communicator::sum(), libMesh::SystemNorm::type(), libMesh::DofMap::variable_type(), libMesh::W1_INF_SEMINORM, libMesh::W2_INF_SEMINORM, libMesh::SystemNorm::weight(), and libMesh::SystemNorm::weight_sq().

 {
   // This function must be run on all processors at once
   parallel_object_only();
 
   LOG_SCOPE ("calculate_norm()", "System");
 
   // Zero the norm before summation
   Real v_norm = 0.;
 
   if (norm.is_discrete())
     {
       //Check to see if all weights are 1.0 and all types are equal
       FEMNormType norm_type0 = norm.type(0);
       unsigned int check_var = 0;
       for (; check_var != this->n_vars(); ++check_var)
         if ((norm.weight(check_var) != 1.0) || (norm.type(check_var) != norm_type0))
           break;
 
       //All weights were 1.0 so just do the full vector discrete norm
       if (check_var == this->n_vars())
         {
           if (norm_type0 == DISCRETE_L1)
             return v.l1_norm();
           if (norm_type0 == DISCRETE_L2)
             return v.l2_norm();
           if (norm_type0 == DISCRETE_L_INF)
             return v.linfty_norm();
           else
             libmesh_error_msg("Invalid norm_type0 = " << norm_type0);
         }
 
       for (unsigned int var=0; var != this->n_vars(); ++var)
         {
           // Skip any variables we don't need to integrate
           if (norm.weight(var) == 0.0)
             continue;
 
           v_norm += norm.weight(var) * discrete_var_norm(v, var, norm.type(var));
         }
 
       return v_norm;
     }
 
   // Localize the potentially parallel vector
   std::unique_ptr<NumericVector<Number>> local_v = NumericVector<Number>::build(this->comm());
   local_v->init(v.size(), true, SERIAL);
   v.localize (*local_v, _dof_map->get_send_list());
 
   // I'm not sure how best to mix Hilbert norms on some variables (for
   // which we'll want to square then sum then square root) with norms
   // like L_inf (for which we'll just want to take an absolute value
   // and then sum).
   bool using_hilbert_norm = true,
     using_nonhilbert_norm = true;
 
   // Loop over all variables
   for (unsigned int var=0; var != this->n_vars(); ++var)
     {
       // Skip any variables we don't need to integrate
       Real norm_weight_sq = norm.weight_sq(var);
       if (norm_weight_sq == 0.0)
         continue;
       Real norm_weight = norm.weight(var);
 
       // Check for unimplemented norms (rather than just returning 0).
       FEMNormType norm_type = norm.type(var);
       if ((norm_type==H1) ||
           (norm_type==H2) ||
           (norm_type==L2) ||
           (norm_type==H1_SEMINORM) ||
           (norm_type==H2_SEMINORM))
         {
           if (!using_hilbert_norm)
             libmesh_not_implemented();
           using_nonhilbert_norm = false;
         }
       else if ((norm_type==L1) ||
                (norm_type==L_INF) ||
                (norm_type==W1_INF_SEMINORM) ||
                (norm_type==W2_INF_SEMINORM))
         {
           if (!using_nonhilbert_norm)
             libmesh_not_implemented();
           using_hilbert_norm = false;
         }
       else
         libmesh_not_implemented();
 
       const FEType & fe_type = this->get_dof_map().variable_type(var);
 
       // Allow space for dims 0-3, even if we don't use them all
       std::vector<std::unique_ptr<FEBase>> fe_ptrs(4);
       std::vector<std::unique_ptr<QBase>> q_rules(4);
 
       const std::set<unsigned char> & elem_dims = _mesh.elem_dimensions();
 
       // Prepare finite elements for each dimension present in the mesh
       for (const auto & dim : elem_dims)
         {
           if (skip_dimensions && skip_dimensions->find(dim) != skip_dimensions->end())
             continue;
 
           // Construct quadrature and finite element objects
           q_rules[dim] = fe_type.default_quadrature_rule (dim);
           fe_ptrs[dim] = FEBase::build(dim, fe_type);
 
           // Attach quadrature rule to FE object
           fe_ptrs[dim]->attach_quadrature_rule (q_rules[dim].get());
         }
 
       std::vector<dof_id_type> dof_indices;
 
       // Begin the loop over the elements
       for (const auto & elem : this->get_mesh().active_local_element_ptr_range())
         {
           const unsigned int dim = elem->dim();
 
 #ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
 
           // One way for implementing this would be to exchange the fe with the FEInterface- class.
           // However, it needs to be discussed whether integral-norms make sense for infinite elements.
           // or in which sense they could make sense.
           if (elem->infinite() )
             libmesh_not_implemented();
 
 #endif
 
           if (skip_dimensions && skip_dimensions->find(dim) != skip_dimensions->end())
             continue;
 
           FEBase * fe = fe_ptrs[dim].get();
           QBase * qrule = q_rules[dim].get();
           libmesh_assert(fe);
           libmesh_assert(qrule);
 
           const std::vector<Real> &               JxW = fe->get_JxW();
           const std::vector<std::vector<Real>> * phi = nullptr;
           if (norm_type == H1 ||
               norm_type == H2 ||
               norm_type == L2 ||
               norm_type == L1 ||
               norm_type == L_INF)
             phi = &(fe->get_phi());
 
           const std::vector<std::vector<RealGradient>> * dphi = nullptr;
           if (norm_type == H1 ||
               norm_type == H2 ||
               norm_type == H1_SEMINORM ||
               norm_type == W1_INF_SEMINORM)
             dphi = &(fe->get_dphi());
 #ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
           const std::vector<std::vector<RealTensor>> *   d2phi = nullptr;
           if (norm_type == H2 ||
               norm_type == H2_SEMINORM ||
               norm_type == W2_INF_SEMINORM)
             d2phi = &(fe->get_d2phi());
 #endif
 
           fe->reinit (elem);
 
           this->get_dof_map().dof_indices (elem, dof_indices, var);
 
           const unsigned int n_qp = qrule->n_points();
 
           const unsigned int n_sf = cast_int<unsigned int>
             (dof_indices.size());
 
           // Begin the loop over the Quadrature points.
           for (unsigned int qp=0; qp<n_qp; qp++)
             {
               if (norm_type == L1)
                 {
                   Number u_h = 0.;
                   for (unsigned int i=0; i != n_sf; ++i)
                     u_h += (*phi)[i][qp] * (*local_v)(dof_indices[i]);
                   v_norm += norm_weight *
                     JxW[qp] * std::abs(u_h);
                 }
 
               if (norm_type == L_INF)
                 {
                   Number u_h = 0.;
                   for (unsigned int i=0; i != n_sf; ++i)
                     u_h += (*phi)[i][qp] * (*local_v)(dof_indices[i]);
                   v_norm = std::max(v_norm, norm_weight * std::abs(u_h));
                 }
 
               if (norm_type == H1 ||
                   norm_type == H2 ||
                   norm_type == L2)
                 {
                   Number u_h = 0.;
                   for (unsigned int i=0; i != n_sf; ++i)
                     u_h += (*phi)[i][qp] * (*local_v)(dof_indices[i]);
                   v_norm += norm_weight_sq *
                     JxW[qp] * TensorTools::norm_sq(u_h);
                 }
 
               if (norm_type == H1 ||
                   norm_type == H2 ||
                   norm_type == H1_SEMINORM)
                 {
                   Gradient grad_u_h;
                   for (unsigned int i=0; i != n_sf; ++i)
                     grad_u_h.add_scaled((*dphi)[i][qp], (*local_v)(dof_indices[i]));
                   v_norm += norm_weight_sq *
                     JxW[qp] * grad_u_h.norm_sq();
                 }
 
               if (norm_type == W1_INF_SEMINORM)
                 {
                   Gradient grad_u_h;
                   for (unsigned int i=0; i != n_sf; ++i)
                     grad_u_h.add_scaled((*dphi)[i][qp], (*local_v)(dof_indices[i]));
                   v_norm = std::max(v_norm, norm_weight * grad_u_h.norm());
                 }
 
 #ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
               if (norm_type == H2 ||
                   norm_type == H2_SEMINORM)
                 {
                   Tensor hess_u_h;
                   for (unsigned int i=0; i != n_sf; ++i)
                     hess_u_h.add_scaled((*d2phi)[i][qp], (*local_v)(dof_indices[i]));
                   v_norm += norm_weight_sq *
                     JxW[qp] * hess_u_h.norm_sq();
                 }
 
               if (norm_type == W2_INF_SEMINORM)
                 {
                   Tensor hess_u_h;
                   for (unsigned int i=0; i != n_sf; ++i)
                     hess_u_h.add_scaled((*d2phi)[i][qp], (*local_v)(dof_indices[i]));
                   v_norm = std::max(v_norm, norm_weight * hess_u_h.norm());
                 }
 #endif
             }
         }
     }
 
   if (using_hilbert_norm)
     {
       this->comm().sum(v_norm);
       v_norm = std::sqrt(v_norm);
     }
   else
     {
       this->comm().max(v_norm);
     }
 
   return v_norm;
 }

◆ check_convergence()

void libMesh::RBConstruction::check_convergence ( LinearSolver< Number > & input_solver )

protected

Check if the linear solver reports convergence. Throw an error when that is not the case.

◆ clear()

virtual void libMesh::RBConstruction::clear ( )

overridevirtual

Clear all the data structures associated with the system.

Reimplemented from libMesh::RBConstructionBase< LinearImplicitSystem >.

Reimplemented in libMesh::TransientSystem< RBConstruction >, libMesh::RBEIMConstruction, and libMesh::TransientRBConstruction.

◆ comm()

const Parallel::Communicator& libMesh::ParallelObject::comm ( ) const

inlineinherited

Returns: A reference to the Parallel::Communicator object used by this mesh.

Definition at line 89 of file parallel_object.h.

References libMesh::ParallelObject::_communicator.

90 { return _communicator; }

libMesh::ParallelObject::_communicator

const Parallel::Communicator & _communicator

Definition: parallel_object.h:107

◆ compare()

bool libMesh::System::compare	(	const System &	other_system,
		const Real	threshold,
		const bool	verbose
	)		const

virtualinherited

Returns: true when the other system contains identical data, up to the given threshold. Outputs some diagnostic info when verbose is set.

Definition at line 514 of file system.C.

References libMesh::System::_is_initialized, libMesh::System::_sys_name, libMesh::System::_vectors, libMesh::System::get_vector(), libMesh::System::n_vectors(), libMesh::System::name(), libMesh::out, and libMesh::System::solution.

Referenced by libMesh::EquationSystems::compare().

 {
   // we do not care for matrices, but for vectors
   libmesh_assert (_is_initialized);
   libmesh_assert (other_system._is_initialized);
 
   if (verbose)
     {
       libMesh::out << "  Systems \"" << _sys_name << "\"" << std::endl;
       libMesh::out << "   comparing matrices not supported." << std::endl;
       libMesh::out << "   comparing names...";
     }
 
   // compare the name: 0 means identical
   const int name_result = _sys_name.compare(other_system.name());
   if (verbose)
     {
       if (name_result == 0)
         libMesh::out << " identical." << std::endl;
       else
         libMesh::out << "  names not identical." << std::endl;
       libMesh::out << "   comparing solution vector...";
     }
 
 
   // compare the solution: -1 means identical
   const int solu_result = solution->compare (*other_system.solution.get(),
                                              threshold);
 
   if (verbose)
     {
       if (solu_result == -1)
         libMesh::out << " identical up to threshold." << std::endl;
       else
         libMesh::out << "  first difference occurred at index = "
                      << solu_result << "." << std::endl;
     }
 
 
   // safety check, whether we handle at least the same number
   // of vectors
   std::vector<int> ov_result;
 
   if (this->n_vectors() != other_system.n_vectors())
     {
       if (verbose)
         {
           libMesh::out << "   Fatal difference. This system handles "
                        << this->n_vectors() << " add'l vectors," << std::endl
                        << "   while the other system handles "
                        << other_system.n_vectors()
                        << " add'l vectors." << std::endl
                        << "   Aborting comparison." << std::endl;
         }
       return false;
     }
   else if (this->n_vectors() == 0)
     {
       // there are no additional vectors...
       ov_result.clear ();
     }
   else
     {
       // compare other vectors
       for (auto & pr : _vectors)
         {
           if (verbose)
             libMesh::out << "   comparing vector \""
                          << pr.first << "\" ...";
 
           // assume they have the same name
           const NumericVector<Number> & other_system_vector =
             other_system.get_vector(pr.first);
 
           ov_result.push_back(pr.second->compare (other_system_vector,
                                                   threshold));
 
           if (verbose)
             {
               if (ov_result[ov_result.size()-1] == -1)
                 libMesh::out << " identical up to threshold." << std::endl;
               else
                 libMesh::out << " first difference occurred at" << std::endl
                              << "   index = " << ov_result[ov_result.size()-1] << "." << std::endl;
             }
         }
     } // finished comparing additional vectors
 
 
   bool overall_result;
 
   // sum up the results
   if ((name_result==0) && (solu_result==-1))
     {
       if (ov_result.size()==0)
         overall_result = true;
       else
         {
           bool ov_identical;
           unsigned int n    = 0;
           do
             {
               ov_identical = (ov_result[n]==-1);
               n++;
             }
           while (ov_identical && n<ov_result.size());
           overall_result = ov_identical;
         }
     }
   else
     overall_result = false;
 
   if (verbose)
     {
       libMesh::out << "   finished comparisons, ";
       if (overall_result)
         libMesh::out << "found no differences." << std::endl << std::endl;
       else
         libMesh::out << "found differences." << std::endl << std::endl;
     }
 
   return overall_result;
 }

◆ compute_Fq_representor_innerprods()

virtual void libMesh::RBConstruction::compute_Fq_representor_innerprods ( bool compute_inner_products = true )

protectedvirtual

Compute the terms that are combined ‘online’ to determine the dual norm of the residual. Here we compute the terms associated with the right-hand side. These terms are basis independent, hence we separate them from the rest of the calculations that are done in update_residual_terms. By default, inner product terms are also computed, but you can turn this feature off e.g. if you are already reading in that data from files.

◆ compute_max_error_bound()

virtual Real libMesh::RBConstruction::compute_max_error_bound ( )

virtual

(i) Compute the a posteriori error bound for each set of parameters in the training set, (ii) set current_parameters to the parameters that maximize the error bound, and (iii) return the maximum error bound.

◆ compute_output_dual_innerprods()

virtual void libMesh::RBConstruction::compute_output_dual_innerprods ( )

protectedvirtual

Compute and store the dual norm of each output functional.

◆ current_solution()

Number libMesh::System::current_solution ( const dof_id_type global_dof_number ) const

inherited

Returns: The current solution for the specified global DOF.

Definition at line 194 of file system.C.

References libMesh::System::_dof_map, and libMesh::System::current_local_solution.

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::HPCoarsenTest::add_projection(), libMesh::ExactErrorEstimator::estimate_error(), libMesh::WeightedPatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::PatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::System::point_gradient(), libMesh::System::point_hessian(), libMesh::System::point_value(), libMesh::HPCoarsenTest::select_refinement(), libMesh::EnsightIO::write_scalar_ascii(), and libMesh::EnsightIO::write_vector_ascii().

 {
   // Check the sizes
   libmesh_assert_less (global_dof_number, _dof_map->n_dofs());
   libmesh_assert_less (global_dof_number, current_local_solution->size());
 
   return (*current_local_solution)(global_dof_number);
 }

◆ deactivate()

void libMesh::System::deactivate ( )

inlineinherited

Deactivates the system. Only active systems are solved.

Definition at line 2081 of file system.h.

References libMesh::System::_active.

 {
   _active = false;
 }

◆ detach_shell_matrix()

void libMesh::LinearImplicitSystem::detach_shell_matrix ( )

inlineinherited

Detaches a shell matrix. Same as attach_shell_matrix(nullptr).

Definition at line 185 of file linear_implicit_system.h.

References libMesh::LinearImplicitSystem::attach_shell_matrix().

185 { attach_shell_matrix(nullptr); }

libMesh::LinearImplicitSystem::attach_shell_matrix

void attach_shell_matrix(ShellMatrix< Number > *shell_matrix)

Definition: linear_implicit_system.C:158

◆ disable_cache()

void libMesh::ImplicitSystem::disable_cache ( )

overridevirtualinherited

Avoids use of any cached data that might affect any solve result. Should be overridden in derived systems.

Reimplemented from libMesh::System.

Definition at line 306 of file implicit_system.C.

References libMesh::System::assemble_before_solve, libMesh::ImplicitSystem::get_linear_solver(), and libMesh::LinearSolver< T >::reuse_preconditioner().

                                     {
   this->assemble_before_solve = true;
   this->get_linear_solver()->reuse_preconditioner(false);
 }

◆ disable_print_counter_info() [1/2]

void libMesh::ReferenceCounter::disable_print_counter_info ( )

staticinherited

Definition at line 106 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

Referenced by libMesh::LibMeshInit::LibMeshInit().

 {
   _enable_print_counter = false;
   return;
 }

◆ disable_print_counter_info() [2/2]

void libMesh::ReferenceCounter::disable_print_counter_info ( )

staticinherited

Definition at line 106 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

Referenced by libMesh::LibMeshInit::LibMeshInit().

 {
   _enable_print_counter = false;
   return;
 }

◆ enable_print_counter_info() [1/2]

void libMesh::ReferenceCounter::enable_print_counter_info ( )

staticinherited

Methods to enable/disable the reference counter output from print_info()

Definition at line 100 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

 {
   _enable_print_counter = true;
   return;
 }

◆ enable_print_counter_info() [2/2]

void libMesh::ReferenceCounter::enable_print_counter_info ( )

staticinherited

Methods to enable/disable the reference counter output from print_info()

Definition at line 100 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

 {
   _enable_print_counter = true;
   return;
 }

◆ enrich_basis_from_rhs_terms()

void libMesh::RBConstruction::enrich_basis_from_rhs_terms ( const bool resize_rb_eval_data = true )

This function computes one basis function for each rhs term. This is useful in some cases since we can avoid doing a full greedy if we know that we do not have any "left-hand side" parameters, for example.

◆ enrich_RB_space()

virtual void libMesh::RBConstruction::enrich_RB_space ( )

protectedvirtual

Add a new basis function to the RB space. This is called during train_reduced_basis.

Reimplemented in libMesh::TransientRBConstruction, and libMesh::RBEIMConstruction.

◆ final_linear_residual()

Real libMesh::LinearImplicitSystem::final_linear_residual ( ) const

inlineinherited

Returns: The final residual for the linear system solve.

Definition at line 169 of file linear_implicit_system.h.

References libMesh::LinearImplicitSystem::_final_linear_residual.

169 { return _final_linear_residual; }

libMesh::LinearImplicitSystem::_final_linear_residual

Real _final_linear_residual

Definition: linear_implicit_system.h:204

◆ forward_qoi_parameter_sensitivity()

void libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity	(	const QoISet &	qoi_indices,
		const ParameterVector &	parameters,
		SensitivityData &	sensitivities
	)

overridevirtualinherited

Solves for the derivative of each of the system's quantities of interest q in qoi[qoi_indices] with respect to each parameter in parameters, placing the result for qoi i and parameter j into sensitivities[i][j].

Uses the forward sensitivity method.

Currently uses finite differenced derivatives (partial q / partial p) and (partial R / partial p).

Reimplemented from libMesh::System.

Definition at line 807 of file implicit_system.C.

References std::abs(), libMesh::SensitivityData::allocate_data(), libMesh::ExplicitSystem::assemble_qoi(), libMesh::ExplicitSystem::assemble_qoi_derivative(), libMesh::ImplicitSystem::assembly(), libMesh::NumericVector< T >::close(), libMesh::SparseMatrix< T >::close(), libMesh::NumericVector< T >::dot(), libMesh::System::get_adjoint_rhs(), libMesh::System::get_sensitivity_solution(), libMesh::QoISet::has_index(), libMesh::ImplicitSystem::matrix, std::max(), libMesh::System::n_qois(), libMesh::System::qoi, libMesh::Real, libMesh::ExplicitSystem::rhs, libMesh::ImplicitSystem::sensitivity_solve(), libMesh::ParameterVector::size(), and libMesh::TOLERANCE.

 {
   ParameterVector & parameters =
     const_cast<ParameterVector &>(parameters_in);
 
   const unsigned int Np = cast_int<unsigned int>
     (parameters.size());
   const unsigned int Nq = this->n_qois();
 
   // An introduction to the problem:
   //
   // Residual R(u(p),p) = 0
   // partial R / partial u = J = system matrix
   //
   // This implies that:
   // d/dp(R) = 0
   // (partial R / partial p) +
   // (partial R / partial u) * (partial u / partial p) = 0
 
   // We first solve for (partial u / partial p) for each parameter:
   // J * (partial u / partial p) = - (partial R / partial p)
 
   this->sensitivity_solve(parameters);
 
   // Get ready to fill in sensitivities:
   sensitivities.allocate_data(qoi_indices, *this, parameters);
 
   // We use the identity:
   // dq/dp = (partial q / partial p) + (partial q / partial u) *
   //         (partial u / partial p)
 
   // We get (partial q / partial u) from the user
   this->assemble_qoi_derivative(qoi_indices,
                                 /* include_liftfunc = */ true,
                                 /* apply_constraints = */ false);
 
   // We don't need these to be closed() in this function, but libMesh
   // standard practice is to have them closed() by the time the
   // function exits
   for (unsigned int i=0; i != this->n_qois(); ++i)
     if (qoi_indices.has_index(i))
       this->get_adjoint_rhs(i).close();
 
   for (unsigned int j=0; j != Np; ++j)
     {
       // We currently get partial derivatives via central differencing
 
       // (partial q / partial p) ~= (q(p+dp)-q(p-dp))/(2*dp)
 
       Number old_parameter = *parameters[j];
 
       const Real delta_p =
         TOLERANCE * std::max(std::abs(old_parameter), 1e-3);
 
       *parameters[j] = old_parameter - delta_p;
       this->assemble_qoi(qoi_indices);
       std::vector<Number> qoi_minus = this->qoi;
 
       *parameters[j] = old_parameter + delta_p;
       this->assemble_qoi(qoi_indices);
       std::vector<Number> & qoi_plus = this->qoi;
 
       std::vector<Number> partialq_partialp(Nq, 0);
       for (unsigned int i=0; i != Nq; ++i)
         if (qoi_indices.has_index(i))
           partialq_partialp[i] = (qoi_plus[i] - qoi_minus[i]) / (2.*delta_p);
 
       // Don't leave the parameter changed
       *parameters[j] = old_parameter;
 
       for (unsigned int i=0; i != Nq; ++i)
         if (qoi_indices.has_index(i))
           sensitivities[i][j] = partialq_partialp[i] +
             this->get_adjoint_rhs(i).dot(this->get_sensitivity_solution(j));
     }
 
   // All parameters have been reset.
   // We didn't cache the original rhs or matrix for memory reasons,
   // but we can restore them to a state consistent solution -
   // principle of least surprise.
   this->assembly(true, true);
   this->rhs->close();
   this->matrix->close();
   this->assemble_qoi(qoi_indices);
 }

◆ generate_training_parameters_deterministic()

static void libMesh::RBConstructionBase< LinearImplicitSystem >::generate_training_parameters_deterministic	(	const Parallel::Communicator &	communicator,
		std::map< std::string, bool >	log_param_scale,
		std::map< std::string, std::unique_ptr< NumericVector< Number >>> &	training_parameters_in,
		unsigned int	n_training_samples_in,
		const RBParameters &	min_parameters,
		const RBParameters &	max_parameters,
		bool	serial_training_set = `false`
	)

staticprotectedinherited

Static helper function for generating a deterministic set of parameters. Only works with 1 or 2 parameters (as defined by the lengths of min/max parameters vectors), otherwise throws an error.

◆ generate_training_parameters_random()

static void libMesh::RBConstructionBase< LinearImplicitSystem >::generate_training_parameters_random	(	const Parallel::Communicator &	communicator,
		std::map< std::string, bool >	log_param_scale,
		std::map< std::string, std::unique_ptr< NumericVector< Number >>> &	training_parameters_in,
		unsigned int	n_training_samples_in,
		const RBParameters &	min_parameters,
		const RBParameters &	max_parameters,
		int	training_parameters_random_seed = `-1`,
		bool	serial_training_set = `false`
	)

staticprotectedinherited

Static helper function for generating a randomized set of parameters.

◆ get_abs_training_tolerance()

Real libMesh::RBConstruction::get_abs_training_tolerance ( )

inline

Definition at line 193 of file rb_construction.h.

References abs_training_tolerance.

193 { return abs_training_tolerance; }

libMesh::RBConstruction::abs_training_tolerance

Real abs_training_tolerance

Definition: rb_construction.h:802

◆ get_adjoint_rhs() [1/2]

NumericVector< Number > & libMesh::System::get_adjoint_rhs ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's adjoint rhs vectors, by default the one corresponding to the first qoi. This what the user's QoI derivative code should assemble when setting up an adjoint problem

Definition at line 1031 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::ImplicitSystem::adjoint_solve(), libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::qoi_parameter_hessian(), libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), and libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   std::ostringstream adjoint_rhs_name;
   adjoint_rhs_name << "adjoint_rhs" << i;
 
   return this->get_vector(adjoint_rhs_name.str());
 }

◆ get_adjoint_rhs() [2/2]

const NumericVector< Number > & libMesh::System::get_adjoint_rhs ( unsigned int i = 0 ) const

inherited

Returns: A reference to one of the system's adjoint rhs vectors, by default the one corresponding to the first qoi.

Definition at line 1041 of file system.C.

References libMesh::System::get_vector().

 {
   std::ostringstream adjoint_rhs_name;
   adjoint_rhs_name << "adjoint_rhs" << i;
 
   return this->get_vector(adjoint_rhs_name.str());
 }

◆ get_adjoint_solution() [1/2]

NumericVector< Number > & libMesh::System::get_adjoint_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's adjoint solution vectors, by default the one corresponding to the first qoi.

Definition at line 969 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::ImplicitSystem::adjoint_solve(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::AdjointResidualErrorEstimator::estimate_error(), libMesh::ImplicitSystem::qoi_parameter_hessian(), libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), and libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "adjoint_solution" << i;
 
   return this->get_vector(adjoint_name.str());
 }

◆ get_adjoint_solution() [2/2]

const NumericVector< Number > & libMesh::System::get_adjoint_solution ( unsigned int i = 0 ) const

inherited

Returns: A reference to one of the system's adjoint solution vectors, by default the one corresponding to the first qoi.

Definition at line 979 of file system.C.

References libMesh::System::get_vector().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "adjoint_solution" << i;
 
   return this->get_vector(adjoint_name.str());
 }

◆ get_all_matrices()

virtual void libMesh::RBConstruction::get_all_matrices ( std::map< std::string, SparseMatrix< Number > *> & all_matrices )

virtual

Get a map that stores pointers to all of the matrices.

Reimplemented in libMesh::TransientRBConstruction.

◆ get_all_variable_numbers()

void libMesh::System::get_all_variable_numbers ( std::vector< unsigned int > & all_variable_numbers ) const

inherited

Fills all_variable_numbers with all the variable numbers for the variables that have been added to this system.

Definition at line 1258 of file system.C.

References libMesh::System::_variable_numbers, and libMesh::System::n_vars().

 {
   all_variable_numbers.resize(n_vars());
 
   // Make sure the variable exists
   std::map<std::string, unsigned short int>::const_iterator
     it = _variable_numbers.begin();
   std::map<std::string, unsigned short int>::const_iterator
     it_end = _variable_numbers.end();
 
   unsigned int count = 0;
   for ( ; it != it_end; ++it)
     {
       all_variable_numbers[count] = it->second;
       count++;
     }
 }

◆ get_all_vectors()

virtual void libMesh::RBConstruction::get_all_vectors ( std::map< std::string, NumericVector< Number > *> & all_vectors )

virtual

Get a map that stores pointers to all of the vectors.

◆ get_Aq()

SparseMatrix<Number>* libMesh::RBConstruction::get_Aq ( unsigned int q )

Get a pointer to Aq.

◆ get_closest_value()

static Real libMesh::RBParametrized::get_closest_value	(	Real	value,
		const std::vector< Real > &	list_of_values
	)

staticinherited

Returns: The closest entry to value from list_of_values.

◆ get_convergence_assertion_flag()

bool libMesh::RBConstruction::get_convergence_assertion_flag ( ) const

protected

Getter for the flag determining if convergence should be checked after each solve.

◆ get_delta_N()

unsigned int libMesh::RBConstruction::get_delta_N ( ) const

inline

Get delta_N, the number of basis functions we add to the RB space per iteration of the greedy algorithm. For steady-state systems, this should be 1, but can be more than 1 for time-dependent systems.

Definition at line 411 of file rb_construction.h.

References delta_N.

411 { return delta_N; }

libMesh::RBConstruction::delta_N

unsigned int delta_N

Definition: rb_construction.h:733

◆ get_deterministic_training_parameter_name()

const std::string& libMesh::RBConstructionBase< LinearImplicitSystem >::get_deterministic_training_parameter_name ( ) const

inherited

Get the name of the parameter that we will generate deterministic training parameters for.

◆ get_deterministic_training_parameter_repeats()

unsigned int libMesh::RBConstructionBase< LinearImplicitSystem >::get_deterministic_training_parameter_repeats ( ) const

inherited

Get the number of times each sample of the deterministic training parameter is repeated.

◆ get_discrete_parameter_values()

const std::map<std::string, std::vector<Real> >& libMesh::RBParametrized::get_discrete_parameter_values ( ) const

inherited

Get a const reference to the discrete parameter values.

◆ get_dof_map() [1/2]

const DofMap & libMesh::System::get_dof_map ( ) const

inlineinherited

Returns: A constant reference to this system's _dof_map.

Definition at line 2049 of file system.h.

References libMesh::System::_dof_map.

 {
   return *_dof_map;
 }

◆ get_dof_map() [2/2]

DofMap & libMesh::System::get_dof_map ( )

inlineinherited

Returns: A writable reference to this system's _dof_map.

Definition at line 2057 of file system.h.

References libMesh::System::_dof_map.

 {
   return *_dof_map;
 }

◆ get_equation_systems() [1/2]

const EquationSystems& libMesh::System::get_equation_systems ( ) const

inlineinherited

Returns: A constant reference to this system's parent EquationSystems object.

Definition at line 712 of file system.h.

References libMesh::System::_equation_systems.

712 { return _equation_systems; }

libMesh::System::_equation_systems

EquationSystems & _equation_systems

Definition: system.h:1890

◆ get_equation_systems() [2/2]

EquationSystems& libMesh::System::get_equation_systems ( )

inlineinherited

Returns: A reference to this system's parent EquationSystems object.

Definition at line 717 of file system.h.

References libMesh::System::_equation_systems.

717 { return _equation_systems; }

libMesh::System::_equation_systems

EquationSystems & _equation_systems

Definition: system.h:1890

◆ get_first_local_training_index()

numeric_index_type libMesh::RBConstructionBase< LinearImplicitSystem >::get_first_local_training_index ( ) const

inherited

Get the first local index of the training parameters.

◆ get_Fq()

NumericVector<Number>* libMesh::RBConstruction::get_Fq ( unsigned int q )

Get a pointer to Fq.

◆ get_global_max_error_pair()

static void libMesh::RBConstructionBase< LinearImplicitSystem >::get_global_max_error_pair	(	const Parallel::Communicator &	communicator,
		std::pair< numeric_index_type, Real > &	error_pair
	)

staticprotectedinherited

Static function to return the error pair (index,error) that is corresponds to the largest error on all processors.

◆ get_greedy_parameter()

const RBParameters& libMesh::RBConstruction::get_greedy_parameter ( unsigned int i )

Return the parameters chosen during the i^th step of the Greedy algorithm.

◆ get_info() [1/3]

std::string libMesh::ReferenceCounter::get_info ( )

staticinherited

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

References libMesh::ReferenceCounter::_counts, and libMesh::Quality::name().

Referenced by libMesh::ReferenceCounter::print_info().

 {
 #if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)
 
   std::ostringstream oss;
 
   oss << '\n'
       << " ---------------------------------------------------------------------------- \n"
       << "| Reference count information                                                |\n"
       << " ---------------------------------------------------------------------------- \n";
 
   for (const auto & pr : _counts)
     {
       const std::string name(pr.first);
       const unsigned int creations    = pr.second.first;
       const unsigned int destructions = pr.second.second;
 
       oss << "| " << name << " reference count information:\n"
           << "|  Creations:    " << creations    << '\n'
           << "|  Destructions: " << destructions << '\n';
     }
 
   oss << " ---------------------------------------------------------------------------- \n";
 
   return oss.str();
 
 #else
 
   return "";
 
 #endif
 }

◆ get_info() [2/3]

std::string libMesh::ReferenceCounter::get_info ( )

staticinherited

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

References libMesh::ReferenceCounter::_counts, and libMesh::Quality::name().

Referenced by libMesh::ReferenceCounter::print_info().

 {
 #if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)
 
   std::ostringstream oss;
 
   oss << '\n'
       << " ---------------------------------------------------------------------------- \n"
       << "| Reference count information                                                |\n"
       << " ---------------------------------------------------------------------------- \n";
 
   for (const auto & pr : _counts)
     {
       const std::string name(pr.first);
       const unsigned int creations    = pr.second.first;
       const unsigned int destructions = pr.second.second;
 
       oss << "| " << name << " reference count information:\n"
           << "|  Creations:    " << creations    << '\n'
           << "|  Destructions: " << destructions << '\n';
     }
 
   oss << " ---------------------------------------------------------------------------- \n";
 
   return oss.str();
 
 #else
 
   return "";
 
 #endif
 }

◆ get_info() [3/3]

std::string libMesh::System::get_info ( ) const

inherited

Returns: A string containing information about the system.

Definition at line 1658 of file system.C.

 {
   std::ostringstream oss;
 
 
   const std::string & sys_name = this->name();
 
   oss << "   System #"  << this->number() << ", \"" << sys_name << "\"\n"
       << "    Type \""  << this->system_type() << "\"\n"
       << "    Variables=";
 
   for (unsigned int vg=0; vg<this->n_variable_groups(); vg++)
     {
       const VariableGroup & vg_description (this->variable_group(vg));
 
       if (vg_description.n_variables() > 1) oss << "{ ";
       for (unsigned int vn=0; vn<vg_description.n_variables(); vn++)
         oss << "\"" << vg_description.name(vn) << "\" ";
       if (vg_description.n_variables() > 1) oss << "} ";
     }
 
   oss << '\n';
 
   oss << "    Finite Element Types=";
 #ifndef LIBMESH_ENABLE_INFINITE_ELEMENTS
   for (unsigned int vg=0; vg<this->n_variable_groups(); vg++)
     oss << "\""
         << Utility::enum_to_string<FEFamily>(this->get_dof_map().variable_group(vg).type().family)
         << "\" ";
 #else
   for (unsigned int vg=0; vg<this->n_variable_groups(); vg++)
     {
       oss << "\""
           << Utility::enum_to_string<FEFamily>(this->get_dof_map().variable_group(vg).type().family)
           << "\", \""
           << Utility::enum_to_string<FEFamily>(this->get_dof_map().variable_group(vg).type().radial_family)
           << "\" ";
     }
 
   oss << '\n' << "    Infinite Element Mapping=";
   for (unsigned int vg=0; vg<this->n_variable_groups(); vg++)
     oss << "\""
         << Utility::enum_to_string<InfMapType>(this->get_dof_map().variable_group(vg).type().inf_map)
         << "\" ";
 #endif
 
   oss << '\n';
 
   oss << "    Approximation Orders=";
   for (unsigned int vg=0; vg<this->n_variable_groups(); vg++)
     {
 #ifndef LIBMESH_ENABLE_INFINITE_ELEMENTS
       oss << "\""
           << Utility::enum_to_string<Order>(this->get_dof_map().variable_group(vg).type().order)
           << "\" ";
 #else
       oss << "\""
           << Utility::enum_to_string<Order>(this->get_dof_map().variable_group(vg).type().order)
           << "\", \""
           << Utility::enum_to_string<Order>(this->get_dof_map().variable_group(vg).type().radial_order)
           << "\" ";
 #endif
     }
 
   oss << '\n';
 
   oss << "    n_dofs()="             << this->n_dofs()             << '\n';
   oss << "    n_local_dofs()="       << this->n_local_dofs()       << '\n';
 #ifdef LIBMESH_ENABLE_CONSTRAINTS
   oss << "    n_constrained_dofs()=" << this->n_constrained_dofs() << '\n';
   oss << "    n_local_constrained_dofs()=" << this->n_local_constrained_dofs() << '\n';
 #endif
 
   oss << "    " << "n_vectors()="  << this->n_vectors()  << '\n';
   oss << "    " << "n_matrices()="  << this->n_matrices()  << '\n';
   //   oss << "    " << "n_additional_matrices()=" << this->n_additional_matrices() << '\n';
 
   oss << this->get_dof_map().get_info();
 
   return oss.str();
 }

◆ get_inner_product_assembly()

ElemAssembly& libMesh::RBConstruction::get_inner_product_assembly ( )

Returns: A reference to the inner product assembly object

◆ get_inner_product_matrix()

SparseMatrix<Number>* libMesh::RBConstruction::get_inner_product_matrix ( )

Get a pointer to inner_product_matrix. Accessing via this function, rather than directly through the class member allows us to do error checking (e.g. inner_product_matrix is not defined in low-memory mode).

◆ get_last_local_training_index()

numeric_index_type libMesh::RBConstructionBase< LinearImplicitSystem >::get_last_local_training_index ( ) const

inherited

Get the last local index of the training parameters.

◆ get_linear_solve_parameters()

std::pair< unsigned int, Real > libMesh::ImplicitSystem::get_linear_solve_parameters ( ) const

virtualinherited

Returns: An integer corresponding to the upper iteration count limit and a Real corresponding to the convergence tolerance to be used in linear adjoint and/or sensitivity solves

Reimplemented in libMesh::NonlinearImplicitSystem, and libMesh::DifferentiableSystem.

Definition at line 1421 of file implicit_system.C.

References libMesh::Parameters::get(), libMesh::System::get_equation_systems(), libMesh::EquationSystems::parameters, and libMesh::Real.

Referenced by libMesh::ImplicitSystem::adjoint_solve(), libMesh::ImplicitSystem::sensitivity_solve(), libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve(), and libMesh::ImplicitSystem::weighted_sensitivity_solve().

 {
   return std::make_pair(this->get_equation_systems().parameters.get<unsigned int>("linear solver maximum iterations"),
                         this->get_equation_systems().parameters.get<Real>("linear solver tolerance"));
 }

◆ get_linear_solver()

LinearSolver< Number > * libMesh::LinearImplicitSystem::get_linear_solver ( ) const

overridevirtualinherited

Returns: A pointer to a linear solver appropriate for use in adjoint and/or sensitivity solves

Reimplemented from libMesh::ImplicitSystem.

Definition at line 353 of file linear_implicit_system.C.

References libMesh::LinearImplicitSystem::linear_solver.

 {
   return linear_solver.get();
 }

◆ get_local_n_training_samples()

numeric_index_type libMesh::RBConstructionBase< LinearImplicitSystem >::get_local_n_training_samples ( ) const

inherited

Get the total number of training samples local to this processor.

◆ get_matrix() [1/2]

const SparseMatrix< Number > & libMesh::ImplicitSystem::get_matrix ( const std::string & mat_name ) const

inherited

Returns: A const reference to this system's additional matrix named mat_name.

None of these matrices is involved in the solution process. Access is only granted when the matrix is already properly initialized.

Definition at line 263 of file implicit_system.C.

References libMesh::ImplicitSystem::_matrices.

Referenced by libMesh::NewmarkSystem::compute_matrix(), libMesh::EigenTimeSolver::solve(), and libMesh::NewmarkSystem::update_rhs().

 {
   // Make sure the matrix exists
   const_matrices_iterator pos = _matrices.find (mat_name);
 
   if (pos == _matrices.end())
     libmesh_error_msg("ERROR: matrix " << mat_name << " does not exist in this system!");
 
   return *(pos->second);
 }

◆ get_matrix() [2/2]

SparseMatrix< Number > & libMesh::ImplicitSystem::get_matrix ( const std::string & mat_name )

inherited

Returns: A writable reference to this system's additional matrix named mat_name.

None of these matrices is involved in the solution process. Access is only granted when the matrix is already properly initialized.

Definition at line 276 of file implicit_system.C.

References libMesh::ImplicitSystem::_matrices.

 {
   // Make sure the matrix exists
   matrices_iterator pos = _matrices.find (mat_name);
 
   if (pos == _matrices.end())
     libmesh_error_msg("ERROR: matrix " << mat_name << " does not exist in this system!");
 
   return *(pos->second);
 }

◆ get_matrix_for_output_dual_solves()

virtual SparseMatrix<Number>& libMesh::RBConstruction::get_matrix_for_output_dual_solves ( )

protectedvirtual

Return the matrix for the output residual dual norm solves. By default we use the inner product matrix for steady state problems.

Reimplemented in libMesh::TransientRBConstruction.

◆ get_mesh() [1/2]

const MeshBase & libMesh::System::get_mesh ( ) const

inlineinherited

Returns: A constant reference to this systems's _mesh.

Definition at line 2033 of file system.h.

References libMesh::System::_mesh.

 {
   return _mesh;
 }

◆ get_mesh() [2/2]

MeshBase & libMesh::System::get_mesh ( )

inlineinherited

Returns: A reference to this systems's _mesh.

Definition at line 2041 of file system.h.

References libMesh::System::_mesh.

 {
   return _mesh;
 }

◆ get_n_continuous_params()

unsigned int libMesh::RBParametrized::get_n_continuous_params ( ) const

inherited

Get the number of continuous parameters.

◆ get_n_discrete_params()

unsigned int libMesh::RBParametrized::get_n_discrete_params ( ) const

inherited

Get the number of discrete parameters.

◆ get_n_params()

unsigned int libMesh::RBParametrized::get_n_params ( ) const

inherited

Get the number of parameters.

◆ get_n_training_samples()

numeric_index_type libMesh::RBConstructionBase< LinearImplicitSystem >::get_n_training_samples ( ) const

inherited

Get the total number of training samples.

◆ get_Nmax()

unsigned int libMesh::RBConstruction::get_Nmax ( ) const

inline

Get/set Nmax, the maximum number of RB functions we are willing to compute.

Definition at line 206 of file rb_construction.h.

References Nmax.

206 { return Nmax; }

libMesh::RBConstruction::Nmax

unsigned int Nmax

Definition: rb_construction.h:727

◆ get_non_dirichlet_Aq()

SparseMatrix<Number>* libMesh::RBConstruction::get_non_dirichlet_Aq ( unsigned int q )

Get a pointer to non_dirichlet_Aq.

◆ get_non_dirichlet_Aq_if_avail()

SparseMatrix<Number>* libMesh::RBConstruction::get_non_dirichlet_Aq_if_avail ( unsigned int q )

Get a pointer to non_dirichlet_Aq if it's available, otherwise get Aq.

◆ get_non_dirichlet_Fq()

NumericVector<Number>* libMesh::RBConstruction::get_non_dirichlet_Fq ( unsigned int q )

Get a pointer to non-Dirichlet Fq.

◆ get_non_dirichlet_Fq_if_avail()

NumericVector<Number>* libMesh::RBConstruction::get_non_dirichlet_Fq_if_avail ( unsigned int q )

Get a pointer to non_dirichlet_Fq if it's available, otherwise get Fq.

◆ get_non_dirichlet_inner_product_matrix()

SparseMatrix<Number>* libMesh::RBConstruction::get_non_dirichlet_inner_product_matrix ( )

Get the non-Dirichlet (or more generally no-constraints) version of the inner-product matrix. This is useful for performing multiplications on vectors that already have constraints enforced.

◆ get_non_dirichlet_inner_product_matrix_if_avail()

SparseMatrix<Number>* libMesh::RBConstruction::get_non_dirichlet_inner_product_matrix_if_avail ( )

Get the non-Dirichlet inner-product matrix if it's available, otherwise get the inner-product matrix with constraints.

◆ get_non_dirichlet_output_vector()

NumericVector<Number>* libMesh::RBConstruction::get_non_dirichlet_output_vector	(	unsigned int	n,
		unsigned int	q_l
	)

Get a pointer to non-Dirichlet output vector.

◆ get_normalize_rb_bound_in_greedy()

bool libMesh::RBConstruction::get_normalize_rb_bound_in_greedy ( )

inline

Definition at line 200 of file rb_construction.h.

References normalize_rb_bound_in_greedy.

200 { return normalize_rb_bound_in_greedy; }

libMesh::RBConstruction::normalize_rb_bound_in_greedy

bool normalize_rb_bound_in_greedy

Definition: rb_construction.h:808

◆ get_output_vector()

NumericVector<Number>* libMesh::RBConstruction::get_output_vector	(	unsigned int	n,
		unsigned int	q_l
	)

Get a pointer to the n^th output.

◆ get_output_vectors()

virtual void libMesh::RBConstruction::get_output_vectors ( std::map< std::string, NumericVector< Number > *> & all_vectors )

virtual

Get a map that stores pointers to all of the vectors.

◆ get_parameter_max()

Real libMesh::RBParametrized::get_parameter_max ( const std::string & param_name ) const

inherited

Get maximum allowable value of parameter param_name.

◆ get_parameter_min()

Real libMesh::RBParametrized::get_parameter_min ( const std::string & param_name ) const

inherited

Get minimum allowable value of parameter param_name.

◆ get_parameter_names()

std::set<std::string> libMesh::RBParametrized::get_parameter_names ( ) const

inherited

Get a set that stores the parameter names.

◆ get_parameters()

const RBParameters& libMesh::RBParametrized::get_parameters ( ) const

inherited

Get the current parameters.

◆ get_parameters_max()

const RBParameters& libMesh::RBParametrized::get_parameters_max ( ) const

inherited

Get an RBParameters object that specifies the maximum allowable value for each parameter.

◆ get_parameters_min()

const RBParameters& libMesh::RBParametrized::get_parameters_min ( ) const

inherited

Get an RBParameters object that specifies the minimum allowable value for each parameter.

◆ get_params_from_training_set()

RBParameters libMesh::RBConstructionBase< LinearImplicitSystem >::get_params_from_training_set ( unsigned int index )

protectedinherited

Return the RBParameters in index index of training set.

◆ get_rb_assembly_expansion()

RBAssemblyExpansion& libMesh::RBConstruction::get_rb_assembly_expansion ( )

Returns: A reference to the rb_assembly_expansion object

◆ get_RB_error_bound()

virtual Real libMesh::RBConstruction::get_RB_error_bound ( )

protectedvirtual

Returns: The RB error bound for the current parameters.

Used in the Greedy algorithm to select the next parameter.

Reimplemented in libMesh::RBEIMConstruction.

◆ get_rb_evaluation()

RBEvaluation& libMesh::RBConstruction::get_rb_evaluation ( )

Get a reference to the RBEvaluation object.

◆ get_rb_theta_expansion()

RBThetaExpansion& libMesh::RBConstruction::get_rb_theta_expansion ( )

Get a reference to the RBThetaExpansion object that that belongs to rb_eval.

◆ get_rel_training_tolerance()

Real libMesh::RBConstruction::get_rel_training_tolerance ( )

inline

Definition at line 186 of file rb_construction.h.

References rel_training_tolerance.

186 { return rel_training_tolerance; }

libMesh::RBConstruction::rel_training_tolerance

Real rel_training_tolerance

Definition: rb_construction.h:801

◆ get_sensitivity_rhs() [1/2]

NumericVector< Number > & libMesh::System::get_sensitivity_rhs ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's sensitivity rhs vectors, by default the one corresponding to the first parameter. By default these vectors are built by the library, using finite differences, when assemble_residual_derivatives() is called.

When assembled, this vector should hold -(partial R / partial p_i)

Definition at line 1061 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), and libMesh::ImplicitSystem::sensitivity_solve().

 {
   std::ostringstream sensitivity_rhs_name;
   sensitivity_rhs_name << "sensitivity_rhs" << i;
 
   return this->get_vector(sensitivity_rhs_name.str());
 }

◆ get_sensitivity_rhs() [2/2]

const NumericVector< Number > & libMesh::System::get_sensitivity_rhs ( unsigned int i = 0 ) const

inherited

Returns: A reference to one of the system's sensitivity rhs vectors, by default the one corresponding to the first parameter.

Definition at line 1071 of file system.C.

References libMesh::System::get_vector().

 {
   std::ostringstream sensitivity_rhs_name;
   sensitivity_rhs_name << "sensitivity_rhs" << i;
 
   return this->get_vector(sensitivity_rhs_name.str());
 }

◆ get_sensitivity_solution() [1/2]

NumericVector< Number > & libMesh::System::get_sensitivity_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's solution sensitivity vectors, by default the one corresponding to the first parameter.

Definition at line 916 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::qoi_parameter_hessian(), and libMesh::ImplicitSystem::sensitivity_solve().

 {
   std::ostringstream sensitivity_name;
   sensitivity_name << "sensitivity_solution" << i;
 
   return this->get_vector(sensitivity_name.str());
 }

◆ get_sensitivity_solution() [2/2]

const NumericVector< Number > & libMesh::System::get_sensitivity_solution ( unsigned int i = 0 ) const

inherited

Returns: A reference to one of the system's solution sensitivity vectors, by default the one corresponding to the first parameter.

Definition at line 926 of file system.C.

References libMesh::System::get_vector().

 {
   std::ostringstream sensitivity_name;
   sensitivity_name << "sensitivity_solution" << i;
 
   return this->get_vector(sensitivity_name.str());
 }

◆ get_shell_matrix()

ShellMatrix<Number>* libMesh::LinearImplicitSystem::get_shell_matrix ( )

inlineinherited

Returns: A pointer to the currently attached shell matrix, if any, otherwise nullptr.

Definition at line 191 of file linear_implicit_system.h.

References libMesh::LinearImplicitSystem::_shell_matrix.

191 { return _shell_matrix; }

libMesh::LinearImplicitSystem::_shell_matrix

ShellMatrix< Number > * _shell_matrix

Definition: linear_implicit_system.h:209

◆ get_vector() [1/4]

const NumericVector< Number > & libMesh::System::get_vector ( const std::string & vec_name ) const

inherited

Returns: A const reference to this system's additional vector named vec_name. Access is only granted when the vector is already properly initialized.

Definition at line 774 of file system.C.

References libMesh::System::_vectors.

Referenced by libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::UnsteadySolver::adjoint_advance_timestep(), libMesh::NewmarkSolver::advance_timestep(), libMesh::AdaptiveTimeSolver::advance_timestep(), libMesh::UnsteadySolver::advance_timestep(), libMesh::System::compare(), libMesh::NewmarkSolver::compute_initial_accel(), libMesh::UnsteadySolver::du(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::System::get_adjoint_rhs(), libMesh::System::get_adjoint_solution(), libMesh::System::get_sensitivity_rhs(), libMesh::System::get_sensitivity_solution(), libMesh::System::get_weighted_sensitivity_adjoint_solution(), libMesh::System::get_weighted_sensitivity_solution(), libMesh::NewmarkSystem::initial_conditions(), libMesh::NewmarkSolver::project_initial_accel(), libMesh::SecondOrderUnsteadySolver::project_initial_rate(), libMesh::SecondOrderUnsteadySolver::reinit(), libMesh::UnsteadySolver::reinit(), libMesh::MemorySolutionHistory::retrieve(), libMesh::UnsteadySolver::retrieve_timestep(), libMesh::TwostepTimeSolver::solve(), libMesh::FrequencySystem::solve(), libMesh::NewmarkSystem::update_rhs(), and libMesh::NewmarkSystem::update_u_v_a().

 {
   // Make sure the vector exists
   const_vectors_iterator pos = _vectors.find(vec_name);
 
   if (pos == _vectors.end())
     libmesh_error_msg("ERROR: vector " << vec_name << " does not exist in this system!");
 
   return *(pos->second);
 }

◆ get_vector() [2/4]

NumericVector< Number > & libMesh::System::get_vector ( const std::string & vec_name )

inherited

Returns: A writable reference to this system's additional vector named vec_name. Access is only granted when the vector is already properly initialized.

Definition at line 787 of file system.C.

References libMesh::System::_vectors.

 {
   // Make sure the vector exists
   vectors_iterator pos = _vectors.find(vec_name);
 
   if (pos == _vectors.end())
     libmesh_error_msg("ERROR: vector " << vec_name << " does not exist in this system!");
 
   return *(pos->second);
 }

◆ get_vector() [3/4]

const NumericVector< Number > & libMesh::System::get_vector ( const unsigned int vec_num ) const

inherited

Returns: A const reference to this system's additional vector number vec_num (where the vectors are counted starting with 0).

Definition at line 800 of file system.C.

References libMesh::System::vectors_begin(), and libMesh::System::vectors_end().

 {
   const_vectors_iterator v = vectors_begin();
   const_vectors_iterator v_end = vectors_end();
   unsigned int num = 0;
   while ((num<vec_num) && (v!=v_end))
     {
       num++;
       ++v;
     }
   libmesh_assert (v != v_end);
   return *(v->second);
 }

◆ get_vector() [4/4]

NumericVector< Number > & libMesh::System::get_vector ( const unsigned int vec_num )

inherited

Returns: A writable reference to this system's additional vector number vec_num (where the vectors are counted starting with 0).

Definition at line 816 of file system.C.

References libMesh::System::vectors_begin(), and libMesh::System::vectors_end().

 {
   vectors_iterator v = vectors_begin();
   vectors_iterator v_end = vectors_end();
   unsigned int num = 0;
   while ((num<vec_num) && (v!=v_end))
     {
       num++;
       ++v;
     }
   libmesh_assert (v != v_end);
   return *(v->second);
 }

◆ get_weighted_sensitivity_adjoint_solution() [1/2]

NumericVector< Number > & libMesh::System::get_weighted_sensitivity_adjoint_solution ( unsigned int i = 0 )

inherited

Returns: A reference to one of the system's weighted sensitivity adjoint solution vectors, by default the one corresponding to the first qoi.

Definition at line 1001 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), and libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "weighted_sensitivity_adjoint_solution" << i;
 
   return this->get_vector(adjoint_name.str());
 }

◆ get_weighted_sensitivity_adjoint_solution() [2/2]

const NumericVector< Number > & libMesh::System::get_weighted_sensitivity_adjoint_solution ( unsigned int i = 0 ) const

inherited

Returns: A reference to one of the system's weighted sensitivity adjoint solution vectors, by default the one corresponding to the first qoi.

Definition at line 1011 of file system.C.

References libMesh::System::get_vector().

 {
   std::ostringstream adjoint_name;
   adjoint_name << "weighted_sensitivity_adjoint_solution" << i;
 
   return this->get_vector(adjoint_name.str());
 }

◆ get_weighted_sensitivity_solution() [1/2]

NumericVector< Number > & libMesh::System::get_weighted_sensitivity_solution ( )

inherited

Returns: A reference to the solution of the last weighted sensitivity solve

Definition at line 943 of file system.C.

References libMesh::System::get_vector().

Referenced by libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), and libMesh::ImplicitSystem::weighted_sensitivity_solve().

 {
   return this->get_vector("weighted_sensitivity_solution");
 }

◆ get_weighted_sensitivity_solution() [2/2]

const NumericVector< Number > & libMesh::System::get_weighted_sensitivity_solution ( ) const

inherited

Returns: A reference to the solution of the last weighted sensitivity solve

Definition at line 950 of file system.C.

References libMesh::System::get_vector().

 {
   return this->get_vector("weighted_sensitivity_solution");
 }

◆ greedy_termination_test()

virtual bool libMesh::RBConstruction::greedy_termination_test	(	Real	abs_greedy_error,
		Real	initial_greedy_error,
		int	count
	)

protectedvirtual

Function that indicates when to terminate the Greedy basis training. Override in subclasses to specialize.

Reimplemented in libMesh::TransientRBConstruction.

◆ has_variable()

bool libMesh::System::has_variable ( const std::string & var ) const

inherited

Returns: true if a variable named var exists in this System

Definition at line 1236 of file system.C.

References libMesh::System::_variable_numbers.

Referenced by libMesh::GMVIO::copy_nodal_solution().

 {
   return _variable_numbers.count(var);
 }

◆ have_matrix()

bool libMesh::ImplicitSystem::have_matrix ( const std::string & mat_name ) const

inlineinherited

Returns: true if this System has a matrix associated with the given name, false otherwise.

Definition at line 419 of file implicit_system.h.

References libMesh::ImplicitSystem::_matrices.

Referenced by libMesh::ImplicitSystem::add_matrix(), and libMesh::EigenTimeSolver::init().

 {
   return (_matrices.count(mat_name));
 }

◆ have_vector()

bool libMesh::System::have_vector ( const std::string & vec_name ) const

inlineinherited

Returns: true if this System has a vector associated with the given name, false otherwise.

Definition at line 2225 of file system.h.

References libMesh::System::_vectors.

Referenced by libMesh::System::add_vector().

 {
   return (_vectors.count(vec_name));
 }

◆ hide_output()

bool& libMesh::System::hide_output ( )

inlineinherited

Returns: A writable reference to a boolean that determines if this system can be written to file or not. If set to true, then EquationSystems::write will ignore this system.

Definition at line 1662 of file system.h.

References libMesh::System::_hide_output.

1662 { return _hide_output; }

libMesh::System::_hide_output

bool _hide_output

Definition: system.h:2009

◆ identify_variable_groups() [1/2]

bool libMesh::System::identify_variable_groups ( ) const

inlineinherited

Returns: true when VariableGroup structures should be automatically identified, false otherwise.

Definition at line 2201 of file system.h.

References libMesh::System::_identify_variable_groups.

Referenced by libMesh::System::add_variable().

 {
   return _identify_variable_groups;
 }

◆ identify_variable_groups() [2/2]

void libMesh::System::identify_variable_groups ( const bool ivg )

inlineinherited

Toggle automatic VariableGroup identification.

Definition at line 2209 of file system.h.

References libMesh::System::_identify_variable_groups.

 {
   _identify_variable_groups = ivg;
 }

◆ increment_constructor_count() [1/2]

void libMesh::ReferenceCounter::increment_constructor_count ( const std::string & name )

inlineprotectedinherited

Increments the construction counter. Should be called in the constructor of any derived class that will be reference counted.

Definition at line 181 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::ReferenceCountedObject().

 {
   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
   std::pair<unsigned int, unsigned int> & p = _counts[name];
 
   p.first++;
 }

◆ increment_constructor_count() [2/2]

void libMesh::ReferenceCounter::increment_constructor_count ( const std::string & name )

inlineprotectedinherited

Increments the construction counter. Should be called in the constructor of any derived class that will be reference counted.

Definition at line 181 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::ReferenceCountedObject().

 {
   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
   std::pair<unsigned int, unsigned int> & p = _counts[name];
 
   p.first++;
 }

◆ increment_destructor_count() [1/2]

void libMesh::ReferenceCounter::increment_destructor_count ( const std::string & name )

inlineprotectedinherited

Increments the destruction counter. Should be called in the destructor of any derived class that will be reference counted.

Definition at line 194 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::~ReferenceCountedObject().

 {
   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
   std::pair<unsigned int, unsigned int> & p = _counts[name];
 
   p.second++;
 }

◆ increment_destructor_count() [2/2]

void libMesh::ReferenceCounter::increment_destructor_count ( const std::string & name )

inlineprotectedinherited

Increments the destruction counter. Should be called in the destructor of any derived class that will be reference counted.

Definition at line 194 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::~ReferenceCountedObject().

 {
   Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
   std::pair<unsigned int, unsigned int> & p = _counts[name];
 
   p.second++;
 }

◆ init()

void libMesh::System::init ( )

inherited

Initializes degrees of freedom on the current mesh. Sets the

Definition at line 237 of file system.C.

References libMesh::System::_basic_system_only, libMesh::System::init_data(), libMesh::System::is_initialized(), libMesh::System::n_vars(), and libMesh::System::user_initialization().

 {
   // Calling init() twice on the same system currently works evil
   // magic, whether done directly or via EquationSystems::read()
   libmesh_assert(!this->is_initialized());
 
   // First initialize any required data:
   // either only the basic System data
   if (_basic_system_only)
     System::init_data();
   // or all the derived class' data too
   else
     this->init_data();
 
   // If no variables have been added to this system
   // don't do anything
   if (!this->n_vars())
     return;
 
   // Then call the user-provided initialization function
   this->user_initialization();
 }

◆ init_context()

virtual void libMesh::RBConstruction::init_context ( FEMContext & )

inlineprotectedvirtual

Initialize the FEMContext prior to performing an element loop. Reimplement this in derived classes in order to call FE::get_*() as the particular physics requires.

Definition at line 707 of file rb_construction.h.

707 {}

◆ init_data()

virtual void libMesh::RBConstructionBase< LinearImplicitSystem >::init_data ( )

protectedvirtualinherited

Initializes the member data fields associated with the system, so that, e.g., assemble() may be used.

Reimplemented from libMesh::LinearImplicitSystem.

Reimplemented in libMesh::RBEIMConstruction.

◆ init_matrices()

void libMesh::ImplicitSystem::init_matrices ( )

protectedvirtualinherited

Initializes the matrices associated with this system.

Definition at line 106 of file implicit_system.C.

References libMesh::ImplicitSystem::_can_add_matrices, libMesh::ImplicitSystem::_matrices, libMesh::DofMap::attach_matrix(), libMesh::DofMap::compute_sparsity(), libMesh::System::get_dof_map(), libMesh::System::get_mesh(), libMesh::SparseMatrix< T >::initialized(), libMesh::DofMap::is_attached(), and libMesh::ImplicitSystem::matrix.

Referenced by libMesh::ImplicitSystem::init_data().

 {
   libmesh_assert(matrix);
 
   // Check for quick return in case the system matrix
   // (and by extension all the matrices) has already
   // been initialized
   if (matrix->initialized())
     return;
 
   // Get a reference to the DofMap
   DofMap & dof_map = this->get_dof_map();
 
   // no chance to add other matrices
   _can_add_matrices = false;
 
   // Tell the matrices about the dof map, and vice versa
   for (auto & pr : _matrices)
     {
       SparseMatrix<Number> & m = *(pr.second);
       libmesh_assert (!m.initialized());
 
       // We want to allow repeated init() on systems, but we don't
       // want to attach the same matrix to the DofMap twice
       if (!dof_map.is_attached(m))
         dof_map.attach_matrix (m);
     }
 
   // Compute the sparsity pattern for the current
   // mesh and DOF distribution.  This also updates
   // additional matrices, \p DofMap now knows them
   dof_map.compute_sparsity (this->get_mesh());
 
   // Initialize matrices
   for (auto & pr : _matrices)
     pr.second->init ();
 
   // Set the additional matrices to 0.
   for (auto & pr : _matrices)
     pr.second->zero ();
 }

◆ initialize_parameters() [1/2]

void libMesh::RBParametrized::initialize_parameters	(	const RBParameters &	mu_min_in,
		const RBParameters &	mu_max_in,
		const std::map< std::string, std::vector< Real >> &	discrete_parameter_values
	)

inherited

Initialize the parameter ranges and set current_parameters.

◆ initialize_parameters() [2/2]

void libMesh::RBParametrized::initialize_parameters ( const RBParametrized & rb_parametrized )

inherited

Initialize the parameter ranges and set current_parameters.

◆ initialize_rb_construction()

virtual void libMesh::RBConstruction::initialize_rb_construction	(	bool	skip_matrix_assembly = `false`,
		bool	skip_vector_assembly = `false`
	)

virtual

Allocate all the data structures necessary for the construction stage of the RB method. This function also performs matrix and vector assembly of the "truth" affine expansion.

We can optionally skip the matrix or vector assembly steps by setting skip_matrix_assembly = true, or skip_vector_assembly = true, respectively.

Reimplemented in libMesh::RBEIMConstruction, and libMesh::TransientRBConstruction.

◆ initialize_training_parameters()

virtual void libMesh::RBConstructionBase< LinearImplicitSystem >::initialize_training_parameters	(	const RBParameters &	mu_min,
		const RBParameters &	mu_max,
		unsigned int	n_training_parameters,
		std::map< std::string, bool >	log_param_scale,
		bool	deterministic = `true`
	)

virtualinherited

Initialize the parameter ranges and indicate whether deterministic or random training parameters should be used and whether or not we want the parameters to be scaled logarithmically.

◆ is_adjoint_already_solved()

bool libMesh::System::is_adjoint_already_solved ( ) const

inlineinherited

Accessor for the adjoint_already_solved boolean

Definition at line 388 of file system.h.

References libMesh::System::adjoint_already_solved.

Referenced by libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::AdjointResidualErrorEstimator::estimate_error(), libMesh::ImplicitSystem::qoi_parameter_hessian(), and libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product().

389 { return adjoint_already_solved;}

libMesh::System::adjoint_already_solved

bool adjoint_already_solved

Definition: system.h:2003

◆ is_discrete_parameter()

bool libMesh::RBParametrized::is_discrete_parameter ( const std::string & mu_name ) const

inherited

Is parameter mu_name discrete?

◆ is_initialized()

bool libMesh::System::is_initialized ( )

inlineinherited

Returns: true iff this system has been initialized.

Definition at line 2089 of file system.h.

References libMesh::System::_is_initialized.

Referenced by libMesh::System::add_variable(), libMesh::System::add_variables(), and libMesh::System::init().

 {
   return _is_initialized;
 }

◆ is_quiet()

bool libMesh::RBConstructionBase< LinearImplicitSystem >::is_quiet ( ) const

inlineinherited

Is the system in quiet mode?

Definition at line 98 of file rb_construction_base.h.

99 { return this->quiet_mode; }

libMesh::RBConstructionBase< LinearImplicitSystem >::quiet_mode

bool quiet_mode

Definition: rb_construction_base.h:239

◆ is_rb_eval_initialized()

bool libMesh::RBConstruction::is_rb_eval_initialized ( ) const

Returns: true if rb_eval is initialized. False, otherwise.

◆ load_basis_function()

virtual void libMesh::RBConstruction::load_basis_function ( unsigned int i )

virtual

Load the i^th RB function into the RBConstruction solution vector.

Reimplemented in libMesh::RBEIMConstruction.

◆ load_rb_solution()

virtual void libMesh::RBConstruction::load_rb_solution ( )

virtual

Load the RB solution from the most recent solve with rb_eval into this system's solution vector.

Reimplemented in libMesh::TransientRBConstruction, and libMesh::RBEIMConstruction.

◆ load_training_set()

virtual void libMesh::RBConstructionBase< LinearImplicitSystem >::load_training_set ( std::map< std::string, std::vector< Number >> & new_training_set )

virtualinherited

Overwrite the training parameters with new_training_set.

◆ local_dof_indices()

void libMesh::System::local_dof_indices	(	const unsigned int	var,
		std::set< dof_id_type > &	var_indices
	)		const

inherited

Fills the std::set with the degrees of freedom on the local processor corresponding the the variable number passed in.

Definition at line 1277 of file system.C.

References libMesh::DofMap::dof_indices(), libMesh::DofMap::end_dof(), libMesh::DofMap::first_dof(), libMesh::System::get_dof_map(), and libMesh::System::get_mesh().

Referenced by libMesh::System::discrete_var_norm().

 {
   // Make sure the set is clear
   var_indices.clear();
 
   std::vector<dof_id_type> dof_indices;
 
   const dof_id_type
     first_local = this->get_dof_map().first_dof(),
     end_local   = this->get_dof_map().end_dof();
 
   // Begin the loop over the elements
   for (const auto & elem : this->get_mesh().active_local_element_ptr_range())
     {
       this->get_dof_map().dof_indices (elem, dof_indices, var);
 
       for (std::size_t i=0; i<dof_indices.size(); i++)
         {
           dof_id_type dof = dof_indices[i];
 
           //If the dof is owned by the local processor
           if (first_local <= dof && dof < end_local)
             var_indices.insert(dof_indices[i]);
         }
     }
 
   // we may have missed assigning DOFs to nodes that we own
   // but to which we have no connected elements matching our
   // variable restriction criterion.  this will happen, for example,
   // if variable V is restricted to subdomain S.  We may not own
   // any elements which live in S, but we may own nodes which are
   // *connected* to elements which do.
   for (const auto & node : this->get_mesh().local_node_ptr_range())
     {
       libmesh_assert(node);
       this->get_dof_map().dof_indices (node, dof_indices, var);
       for (auto dof : dof_indices)
         if (first_local <= dof && dof < end_local)
           var_indices.insert(dof);
     }
 }

◆ n_active_dofs()

dof_id_type libMesh::System::n_active_dofs ( ) const

inlineinherited

Returns: The number of active degrees of freedom for this System.

Definition at line 2217 of file system.h.

References libMesh::System::n_constrained_dofs(), and libMesh::System::n_dofs().

 {
   return this->n_dofs() - this->n_constrained_dofs();
 }

◆ n_components()

unsigned int libMesh::System::n_components ( ) const

inlineinherited

Returns: The total number of scalar components in the system's variables. This will equal n_vars() in the case of all scalar-valued variables.

Definition at line 2121 of file system.h.

References libMesh::System::_variables, libMesh::Variable::first_scalar_number(), and libMesh::Variable::n_components().

Referenced by libMesh::System::add_variables().

 {
   if (_variables.empty())
     return 0;
 
   const Variable & last = _variables.back();
   return last.first_scalar_number() + last.n_components();
 }

◆ n_constrained_dofs()

dof_id_type libMesh::System::n_constrained_dofs ( ) const

inherited

Returns: The total number of constrained degrees of freedom in the system.

Definition at line 157 of file system.C.

References libMesh::System::_dof_map.

Referenced by libMesh::System::get_info(), and libMesh::System::n_active_dofs().

 {
 #ifdef LIBMESH_ENABLE_CONSTRAINTS
 
   return _dof_map->n_constrained_dofs();
 
 #else
 
   return 0;
 
 #endif
 }

◆ n_dofs()

dof_id_type libMesh::System::n_dofs ( ) const

inherited

Returns: The number of degrees of freedom in the system

Definition at line 150 of file system.C.

References libMesh::System::_dof_map.

Referenced by libMesh::System::add_vector(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::System::get_info(), libMesh::SecondOrderUnsteadySolver::init_data(), libMesh::UnsteadySolver::init_data(), libMesh::System::init_data(), libMesh::OptimizationSystem::initialize_equality_constraints_storage(), libMesh::OptimizationSystem::initialize_inequality_constraints_storage(), libMesh::System::n_active_dofs(), libMesh::CondensedEigenSystem::n_global_non_condensed_dofs(), libMesh::FEMSystem::numerical_jacobian(), libMesh::System::read_legacy_data(), libMesh::SecondOrderUnsteadySolver::reinit(), libMesh::UnsteadySolver::reinit(), and libMesh::System::restrict_vectors().

 {
   return _dof_map->n_dofs();
 }

◆ n_linear_iterations()

unsigned int libMesh::LinearImplicitSystem::n_linear_iterations ( ) const

inlineinherited

Returns: The number of iterations taken for the most recent linear solve.

Definition at line 164 of file linear_implicit_system.h.

References libMesh::LinearImplicitSystem::_n_linear_iterations.

164 { return _n_linear_iterations; }

libMesh::LinearImplicitSystem::_n_linear_iterations

unsigned int _n_linear_iterations

Definition: linear_implicit_system.h:199

◆ n_local_constrained_dofs()

dof_id_type libMesh::System::n_local_constrained_dofs ( ) const

inherited

Returns: The number of constrained degrees of freedom on this processor.

Definition at line 172 of file system.C.

References libMesh::System::_dof_map.

Referenced by libMesh::System::get_info().

 {
 #ifdef LIBMESH_ENABLE_CONSTRAINTS
 
   return _dof_map->n_local_constrained_dofs();
 
 #else
 
   return 0;
 
 #endif
 }

◆ n_local_dofs()

dof_id_type libMesh::System::n_local_dofs ( ) const

inherited

Returns: The number of degrees of freedom local to this processor

Definition at line 187 of file system.C.

References libMesh::System::_dof_map, and libMesh::ParallelObject::processor_id().

Referenced by libMesh::System::add_vector(), libMesh::PetscDMWrapper::build_section(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::System::get_info(), libMesh::SecondOrderUnsteadySolver::init_data(), libMesh::UnsteadySolver::init_data(), libMesh::System::init_data(), libMesh::OptimizationSystem::initialize_equality_constraints_storage(), libMesh::OptimizationSystem::initialize_inequality_constraints_storage(), libMesh::SecondOrderUnsteadySolver::reinit(), libMesh::UnsteadySolver::reinit(), and libMesh::System::restrict_vectors().

 {
   return _dof_map->n_dofs_on_processor (this->processor_id());
 }

◆ n_matrices()

unsigned int libMesh::ImplicitSystem::n_matrices ( ) const

inlineoverridevirtualinherited

Returns: The number of matrices handled by this system

Reimplemented from libMesh::System.

Definition at line 426 of file implicit_system.h.

References libMesh::ImplicitSystem::_matrices.

 {
   return cast_int<unsigned int>(_matrices.size());
 }

◆ n_objects() [1/2]

static unsigned int libMesh::ReferenceCounter::n_objects ( )

inlinestaticinherited

Prints the number of outstanding (created, but not yet destroyed) objects.

Definition at line 83 of file reference_counter.h.

References libMesh::ReferenceCounter::_n_objects.

84 { return _n_objects; }

libMesh::ReferenceCounter::_n_objects

static Threads::atomic< unsigned int > _n_objects

Definition: reference_counter.h:130

◆ n_objects() [2/2]

static unsigned int libMesh::ReferenceCounter::n_objects ( )

inlinestaticinherited

Prints the number of outstanding (created, but not yet destroyed) objects.

Definition at line 83 of file reference_counter.h.

References libMesh::ReferenceCounter::_n_objects.

84 { return _n_objects; }

libMesh::ReferenceCounter::_n_objects

static Threads::atomic< unsigned int > _n_objects

Definition: reference_counter.h:130

◆ n_processors()

processor_id_type libMesh::ParallelObject::n_processors ( ) const

inlineinherited

Returns: The number of processors in the group.

Definition at line 95 of file parallel_object.h.

References libMesh::ParallelObject::_communicator, and libMesh::Parallel::Communicator::size().

96 { return cast_int<processor_id_type>(_communicator.size()); }

libMesh::Parallel::Communicator::size

processor_id_type size() const

Definition: communicator.h:175

libMesh::ParallelObject::_communicator

const Parallel::Communicator & _communicator

Definition: parallel_object.h:107

◆ n_qois()

unsigned int libMesh::System::n_qois ( ) const

inlineinherited

Number of currently active quantities of interest.

Definition at line 2278 of file system.h.

References libMesh::System::qoi.

Referenced by libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::ImplicitSystem::adjoint_qoi_parameter_sensitivity(), libMesh::ImplicitSystem::adjoint_solve(), libMesh::SensitivityData::allocate_data(), libMesh::SensitivityData::allocate_hessian_data(), libMesh::ExplicitSystem::assemble_qoi(), libMesh::FEMSystem::assemble_qoi(), libMesh::ExplicitSystem::assemble_qoi_derivative(), libMesh::FEMSystem::assemble_qoi_derivative(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::AdjointResidualErrorEstimator::estimate_error(), libMesh::ImplicitSystem::forward_qoi_parameter_sensitivity(), libMesh::FEMContext::pre_fe_reinit(), libMesh::ImplicitSystem::qoi_parameter_hessian(), libMesh::ImplicitSystem::qoi_parameter_hessian_vector_product(), libMesh::QoISet::size(), and libMesh::ImplicitSystem::weighted_sensitivity_adjoint_solve().

 {
   return cast_int<unsigned int>(this->qoi.size());
 }

◆ n_variable_groups()

unsigned int libMesh::System::n_variable_groups ( ) const

inlineinherited

Returns: The number of VariableGroup variable groups in the system

Definition at line 2113 of file system.h.

References libMesh::System::_variable_groups.

Referenced by libMesh::System::add_variable(), libMesh::FEMSystem::assembly(), libMesh::System::get_info(), and libMesh::System::init_data().

 {
   return cast_int<unsigned int>(_variable_groups.size());
 }

◆ n_vars()

unsigned int libMesh::System::n_vars ( ) const

inlineinherited

Returns: The number of variables in the system

Definition at line 2105 of file system.h.

References libMesh::System::_variables.

 {
   return cast_int<unsigned int>(_variables.size());
 }

◆ n_vectors()

unsigned int libMesh::System::n_vectors ( ) const

inlineinherited

Returns: The number of vectors (in addition to the solution) handled by this system This is the size of the _vectors map

Definition at line 2233 of file system.h.

References libMesh::System::_vectors.

Referenced by libMesh::ExplicitSystem::add_system_rhs(), libMesh::System::compare(), libMesh::System::get_info(), and libMesh::System::write_header().

 {
   return cast_int<unsigned int>(_vectors.size());
 }

◆ name()

const std::string & libMesh::System::name ( ) const

inlineinherited

Returns: The system name.

Definition at line 2017 of file system.h.

References libMesh::System::_sys_name.

Referenced by libMesh::System::compare(), libMesh::ContinuationSystem::ContinuationSystem(), DMlibMeshSetUpName_Private(), libMesh::ExactErrorEstimator::estimate_error(), libMesh::ExactSolution::ExactSolution(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::System::get_info(), libMesh::ImplicitSystem::get_linear_solver(), libMesh::NewtonSolver::init(), libMesh::TimeSolver::init_data(), libMesh::petsc_auto_fieldsplit(), libMesh::TimeSolver::reinit(), libMesh::PetscDiffSolver::setup_petsc_data(), libMesh::FrequencySystem::solve(), libMesh::LinearImplicitSystem::solve(), libMesh::NonlinearImplicitSystem::solve(), libMesh::System::user_assembly(), libMesh::System::user_constrain(), libMesh::System::user_initialization(), libMesh::System::user_QOI(), libMesh::System::user_QOI_derivative(), libMesh::System::write_header(), libMesh::System::write_parallel_data(), and libMesh::System::write_serialized_data().

 {
   return _sys_name;
 }

◆ number()

unsigned int libMesh::System::number ( ) const

inlineinherited

Returns: The system number.

Definition at line 2025 of file system.h.

References libMesh::System::_sys_number.

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::PetscDMWrapper::add_dofs_helper(), libMesh::System::add_variable(), libMesh::System::add_variables(), libMesh::EquationSystems::build_parallel_solution_vector(), libMesh::ExodusII_IO::copy_elemental_solution(), libMesh::ExodusII_IO::copy_nodal_solution(), libMesh::AdjointRefinementEstimator::estimate_error(), libMesh::ExactErrorEstimator::find_squared_element_error(), libMesh::System::get_info(), libMesh::System::read_legacy_data(), libMesh::System::read_parallel_data(), libMesh::System::read_serialized_blocked_dof_objects(), libMesh::HPCoarsenTest::select_refinement(), libMesh::PetscDMWrapper::set_point_range_in_section(), libMesh::System::write_parallel_data(), libMesh::System::write_serialized_blocked_dof_objects(), and libMesh::System::zero_variable().

 {
   return _sys_number;
 }

◆ point_gradient() [1/3]

Gradient libMesh::System::point_gradient	(	unsigned int	var,
		const Point &	p,
		const bool	insist_on_success = `true`
	)		const

inherited

Returns: The gradient of the solution variable var at the physical point p in the mesh, similarly to point_value.

Definition at line 2100 of file system.C.

References libMesh::Parallel::Communicator::broadcast(), libMesh::ParallelObject::comm(), libMesh::PointLocatorBase::enable_out_of_mesh_mode(), libMesh::System::get_dof_map(), libMesh::System::get_mesh(), mesh, libMesh::Parallel::Communicator::min(), libMesh::ParallelObject::n_processors(), libMesh::ParallelObject::processor_id(), and libMesh::DofObject::processor_id().

Referenced by libMesh::System::point_gradient().

 {
   // This function must be called on every processor; there's no
   // telling where in the partition p falls.
   parallel_object_only();
 
   // And every processor had better agree about which point we're
   // looking for
 #ifndef NDEBUG
   libmesh_assert(this->comm().verify(p(0)));
 #if LIBMESH_DIM > 1
   libmesh_assert(this->comm().verify(p(1)));
 #endif
 #if LIBMESH_DIM > 2
   libmesh_assert(this->comm().verify(p(2)));
 #endif
 #endif // NDEBUG
 
   // Get a reference to the mesh object associated with the system object that calls this function
   const MeshBase & mesh = this->get_mesh();
 
   // Use an existing PointLocator or create a new one
   std::unique_ptr<PointLocatorBase> locator_ptr = mesh.sub_point_locator();
   PointLocatorBase & locator = *locator_ptr;
 
   if (!insist_on_success || !mesh.is_serial())
     locator.enable_out_of_mesh_mode();
 
   // Get a pointer to the element that contains P
   const Elem * e = locator(p);
 
   Gradient grad_u;
 
   if (e && this->get_dof_map().is_evaluable(*e, var))
     grad_u = point_gradient(var, p, *e);
 
   // If I have an element containing p, then let's let everyone know
   processor_id_type lowest_owner =
     (e && (e->processor_id() == this->processor_id())) ?
     this->processor_id() : this->n_processors();
   this->comm().min(lowest_owner);
 
   // Everybody should get their value from a processor that was able
   // to compute it.
   // If nobody admits owning the point, we may have a problem.
   if (lowest_owner != this->n_processors())
     this->comm().broadcast(grad_u, lowest_owner);
   else
     libmesh_assert(!insist_on_success);
 
   return grad_u;
 }

◆ point_gradient() [2/3]

Gradient libMesh::System::point_gradient	(	unsigned int	var,
		const Point &	p,
		const Elem &	e
	)		const

inherited

Returns: The gradient of the solution variable var at the physical point p in local Elem e in the mesh, similarly to point_value.

Definition at line 2154 of file system.C.

References libMesh::TypeVector< T >::add_scaled(), libMesh::FEGenericBase< OutputType >::build(), libMesh::Elem::contains_point(), libMesh::System::current_solution(), libMesh::Elem::dim(), libMesh::DofMap::dof_indices(), libMesh::System::get_dof_map(), libMesh::Elem::infinite(), libMesh::FEInterface::inverse_map(), libMesh::DofMap::is_evaluable(), and libMesh::DofMap::variable_type().

 {
   // Ensuring that the given point is really in the element is an
   // expensive assert, but as long as debugging is turned on we might
   // as well try to catch a particularly nasty potential error
   libmesh_assert (e.contains_point(p));
 
 #ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
   if (e.infinite())
     libmesh_not_implemented();
 #endif
 
   // Get the dof map to get the proper indices for our computation
   const DofMap & dof_map = this->get_dof_map();
 
   // Make sure we can evaluate on this element.
   libmesh_assert (dof_map.is_evaluable(e, var));
 
   // Need dof_indices for phi[i][j]
   std::vector<dof_id_type> dof_indices;
 
   // Fill in the dof_indices for our element
   dof_map.dof_indices (&e, dof_indices, var);
 
   // Get the no of dofs associated with this point
   const unsigned int num_dofs = cast_int<unsigned int>
     (dof_indices.size());
 
   FEType fe_type = dof_map.variable_type(var);
 
   // Build a FE again so we can calculate u(p)
   std::unique_ptr<FEBase> fe (FEBase::build(e.dim(), fe_type));
 
   // Map the physical co-ordinates to the master co-ordinates using the inverse_map from fe_interface.h
   // Build a vector of point co-ordinates to send to reinit
   std::vector<Point> coor(1, FEInterface::inverse_map(e.dim(), fe_type, &e, p));
 
   // Get the values of the shape function derivatives
   const std::vector<std::vector<RealGradient>> &  dphi = fe->get_dphi();
 
   // Reinitialize the element and compute the shape function values at coor
   fe->reinit (&e, &coor);
 
   // Get ready to accumulate a gradient
   Gradient grad_u;
 
   for (unsigned int l=0; l<num_dofs; l++)
     {
       grad_u.add_scaled (dphi[l][0], this->current_solution (dof_indices[l]));
     }
 
   return grad_u;
 }

◆ point_gradient() [3/3]

Gradient libMesh::System::point_gradient	(	unsigned int	var,
		const Point &	p,
		const Elem *	e
	)

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Types

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Private Attributes

Detailed Description

Member Typedef Documentation

◆ const_matrices_iterator

◆ const_vectors_iterator

◆ Counts [1/2]

◆ Counts [2/2]

◆ GradientFunctionPointer

◆ matrices_iterator

◆ Parent

◆ sys_type

◆ ValueFunctionPointer

◆ vectors_iterator

Constructor & Destructor Documentation

◆ RBConstruction()

◆ ~RBConstruction()

Member Function Documentation

◆ activate()

◆ active()

◆ add_adjoint_rhs()

◆ add_adjoint_solution()

◆ add_matrix()

◆ add_scaled_Aq()

◆ add_scaled_matrix_and_vector()

◆ add_sensitivity_rhs()

◆ add_sensitivity_solution()

◆ add_variable() [1/2]

◆ add_variable() [2/2]

◆ add_variables() [1/2]

◆ add_variables() [2/2]

◆ add_vector()

◆ add_weighted_sensitivity_adjoint_solution()

◆ add_weighted_sensitivity_solution()

◆ adjoint_qoi_parameter_sensitivity()

◆ adjoint_solve()

◆ allocate_data_structures()

◆ assemble()

◆ assemble_affine_expansion()

◆ assemble_all_affine_operators()

◆ assemble_all_affine_vectors()

◆ assemble_all_output_vectors()

◆ assemble_Aq_matrix()

◆ assemble_Fq_vector()

◆ assemble_inner_product_matrix()

◆ assemble_misc_matrices()

◆ assemble_qoi()

◆ assemble_qoi_derivative()

◆ assemble_residual_derivatives()

◆ assembly()

◆ attach_assemble_function()

◆ attach_assemble_object()

◆ attach_constraint_function()

◆ attach_constraint_object()

◆ attach_init_function()

◆ attach_init_object()

◆ attach_QOI_derivative()

◆ attach_QOI_derivative_object()

◆ attach_QOI_function()

◆ attach_QOI_object()

◆ attach_shell_matrix()

◆ boundary_project_solution() [1/2]

◆ boundary_project_solution() [2/2]

◆ boundary_project_vector() [1/2]

◆ boundary_project_vector() [2/2]

◆ broadcast_parameters()

◆ build_context()

◆ build_zero_dirichlet_boundary_object()

◆ calculate_norm() [1/2]

◆ calculate_norm() [2/2]

◆ check_convergence()

◆ clear()