#include <eigen_time_solver.h>
Public Types | |
typedef DifferentiableSystem | sys_type |
typedef TimeSolver | Parent |
Public Member Functions | |
EigenTimeSolver (sys_type &s) | |
virtual | ~EigenTimeSolver () |
virtual void | init () override |
virtual void | reinit () override |
virtual void | solve () override |
virtual void | advance_timestep () override |
Real | error_order () const |
virtual bool | element_residual (bool get_jacobian, DiffContext &) override |
virtual bool | side_residual (bool get_jacobian, DiffContext &) override |
virtual bool | nonlocal_residual (bool get_jacobian, DiffContext &) override |
virtual Real | du (const SystemNorm &) const override |
virtual bool | is_steady () const override |
virtual void | init_data () |
virtual void | adjoint_advance_timestep () |
virtual void | retrieve_timestep () |
virtual void | before_timestep () |
const sys_type & | system () const |
sys_type & | system () |
virtual std::unique_ptr< DiffSolver > & | diff_solver () |
virtual std::unique_ptr< LinearSolver< Number > > & | linear_solver () |
void | set_solution_history (const SolutionHistory &_solution_history) |
bool | is_adjoint () const |
void | set_is_adjoint (bool _is_adjoint_value) |
Static Public Member Functions | |
static std::string | get_info () |
static void | print_info (std::ostream &out=libMesh::out) |
static unsigned int | n_objects () |
static void | enable_print_counter_info () |
static void | disable_print_counter_info () |
Public Attributes | |
std::unique_ptr< EigenSolver< Number > > | eigen_solver |
Real | tol |
unsigned int | maxits |
unsigned int | n_eigenpairs_to_compute |
unsigned int | n_basis_vectors_to_use |
unsigned int | n_converged_eigenpairs |
unsigned int | n_iterations_reqd |
bool | quiet |
unsigned int | reduce_deltat_on_diffsolver_failure |
Protected Types | |
typedef bool(DifferentiablePhysics::* | ResFuncType) (bool, DiffContext &) |
typedef void(DiffContext::* | ReinitFuncType) (Real) |
typedef std::map< std::string, std::pair< unsigned int, unsigned int > > | Counts |
Protected Member Functions | |
void | increment_constructor_count (const std::string &name) |
void | increment_destructor_count (const std::string &name) |
Protected Attributes | |
std::unique_ptr< DiffSolver > | _diff_solver |
std::unique_ptr< LinearSolver< Number > > | _linear_solver |
sys_type & | _system |
std::unique_ptr< SolutionHistory > | solution_history |
Static Protected Attributes | |
static Counts | _counts |
static Threads::atomic< unsigned int > | _n_objects |
static Threads::spin_mutex | _mutex |
static bool | _enable_print_counter = true |
Private Types | |
enum | NowAssembling { Matrix_A, Matrix_B, Invalid_Matrix } |
Private Attributes | |
NowAssembling | now_assembling |
The name of this class is confusing...it's meant to refer to the base class (TimeSolver) while still telling one that it's for solving (generalized) EigenValue problems that arise from finite element discretizations. For a time-dependent problem du/dt=F(u), with a steady solution 0=F(u_0), we look at the time evolution of a small perturbation, p=u-u_0, for which the (linearized) governing equation is
dp/dt = F'(u_0)p
where F'(u_0) is the Jacobian. The generalized eigenvalue problem arises by considering perturbations of the general form p = exp(lambda*t)x, which leads to
Ax = lambda*Bx
where A is the (discretized by FEM) Jacobian matrix and B is the (discretized by FEM) mass matrix.
The EigenSystem class (by Steffen Petersen) is related but does not fall under the FEMSystem paradigm invented by Roy Stogner. The EigenSolver class (also by Steffen) is meant to provide a generic "linear solver" interface for EigenValue software. The only current concrete implementation is a SLEPc-based eigensolver class, which we make use of here as well.
Definition at line 66 of file eigen_time_solver.h.
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protectedinherited |
Data structure to log the information. The log is identified by the class name.
Definition at line 117 of file reference_counter.h.
The parent class
Definition at line 77 of file eigen_time_solver.h.
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protectedinherited |
Definition at line 273 of file time_solver.h.
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protectedinherited |
Definitions of argument types for use in refactoring subclasses.
Definition at line 271 of file time_solver.h.
The type of system
Definition at line 72 of file eigen_time_solver.h.
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private |
Enumerator | |
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Matrix_A | The matrix associated with the spatial part of the operator. |
Matrix_B | The matrix associated with the time derivative (mass matrix). |
Invalid_Matrix | The enum is in an invalid state. |
Definition at line 198 of file eigen_time_solver.h.
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explicit |
Constructor. Requires a reference to the system to be solved.
Definition at line 33 of file eigen_time_solver.C.
References eigen_solver, libMesh::GHEP, and libMesh::LARGEST_MAGNITUDE.
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virtual |
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virtualinherited |
This method advances the adjoint solution to the previous timestep, after an adjoint_solve() has been performed. This will be done before every UnsteadySolver::adjoint_solve().
Reimplemented in libMesh::UnsteadySolver, and libMesh::NewmarkSolver.
Definition at line 106 of file time_solver.C.
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inlineoverridevirtual |
It doesn't make sense to advance the timestep, so we shouldn't call this.
Reimplemented from libMesh::TimeSolver.
Definition at line 112 of file eigen_time_solver.h.
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inlinevirtualinherited |
This method is for subclasses or users to override to do arbitrary processing between timesteps
Definition at line 167 of file time_solver.h.
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inlinevirtualinherited |
An implicit linear or nonlinear solver to use at each timestep.
Reimplemented in libMesh::AdaptiveTimeSolver.
Definition at line 182 of file time_solver.h.
References libMesh::TimeSolver::_diff_solver.
Referenced by libMesh::TimeSolver::init(), libMesh::TimeSolver::init_data(), libMesh::TimeSolver::reinit(), and libMesh::TimeSolver::solve().
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staticinherited |
Definition at line 106 of file reference_counter.C.
References libMesh::ReferenceCounter::_enable_print_counter.
Referenced by libMesh::LibMeshInit::LibMeshInit().
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inlineoverridevirtual |
Implements libMesh::TimeSolver.
Definition at line 144 of file eigen_time_solver.h.
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overridevirtual |
Forms either the spatial (Jacobian) or mass matrix part of the operator, depending on which is requested.
Implements libMesh::TimeSolver.
Definition at line 128 of file eigen_time_solver.C.
References libMesh::TimeSolver::_system, libMesh::DiffContext::elem_solution_derivative, libMesh::DiffContext::elem_solution_rate_derivative, libMesh::DifferentiablePhysics::element_constraint(), libMesh::DifferentiablePhysics::element_time_derivative(), libMesh::DiffContext::get_elem_jacobian(), libMesh::DifferentiableSystem::get_physics(), libMesh::DifferentiablePhysics::mass_residual(), Matrix_A, Matrix_B, and now_assembling.
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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.
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inline |
error convergence order against deltat is not applicable to an eigenvalue problem.
Definition at line 118 of file eigen_time_solver.h.
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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().
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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().
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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().
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overridevirtual |
The initialization function. This method is used to initialize internal data structures before a simulation begins.
Reimplemented from libMesh::TimeSolver.
Definition at line 57 of file eigen_time_solver.C.
References libMesh::TimeSolver::_system, libMesh::ImplicitSystem::add_matrix(), and libMesh::ImplicitSystem::have_matrix().
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virtualinherited |
The data initialization function. This method is used to initialize internal data structures after the underlying System has been initialized
Reimplemented in libMesh::UnsteadySolver, and libMesh::SecondOrderUnsteadySolver.
Definition at line 77 of file time_solver.C.
References libMesh::TimeSolver::_system, libMesh::TimeSolver::diff_solver(), libMesh::TimeSolver::linear_solver(), libMesh::System::name(), and libMesh::on_command_line().
Referenced by libMesh::UnsteadySolver::init_data().
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inlineinherited |
Accessor for querying whether we need to do a primal or adjoint solve
Definition at line 233 of file time_solver.h.
References libMesh::TimeSolver::_is_adjoint.
Referenced by libMesh::FEMSystem::build_context().
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inlineoverridevirtual |
This is effectively a steady-state solver.
Implements libMesh::TimeSolver.
Definition at line 149 of file eigen_time_solver.h.
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inlinevirtualinherited |
An implicit linear solver to use for adjoint and sensitivity problems.
Reimplemented in libMesh::AdaptiveTimeSolver.
Definition at line 187 of file time_solver.h.
References libMesh::TimeSolver::_linear_solver.
Referenced by libMesh::TimeSolver::init(), libMesh::TimeSolver::init_data(), and libMesh::TimeSolver::reinit().
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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.
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overridevirtual |
Forms the jacobian of the nonlocal terms.
Implements libMesh::TimeSolver.
Definition at line 222 of file eigen_time_solver.C.
References libMesh::TimeSolver::_system, libMesh::DiffContext::get_elem_jacobian(), libMesh::DifferentiableSystem::get_physics(), Matrix_A, Matrix_B, libMesh::DifferentiablePhysics::nonlocal_constraint(), libMesh::DifferentiablePhysics::nonlocal_mass_residual(), libMesh::DifferentiablePhysics::nonlocal_time_derivative(), and now_assembling.
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staticinherited |
Prints the reference information, by default to libMesh::out
.
Definition at line 87 of file reference_counter.C.
References libMesh::ReferenceCounter::_enable_print_counter, and libMesh::ReferenceCounter::get_info().
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overridevirtual |
The reinitialization function. This method is used after changes in the mesh
Reimplemented from libMesh::TimeSolver.
Definition at line 52 of file eigen_time_solver.C.
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virtualinherited |
This method retrieves all the stored solutions at the current system.time
Reimplemented in libMesh::UnsteadySolver, and libMesh::SecondOrderUnsteadySolver.
Definition at line 110 of file time_solver.C.
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inlineinherited |
Accessor for setting whether we need to do a primal or adjoint solve
Definition at line 240 of file time_solver.h.
References libMesh::TimeSolver::_is_adjoint.
Referenced by libMesh::DifferentiableSystem::adjoint_solve(), libMesh::FEMSystem::postprocess(), and libMesh::DifferentiableSystem::solve().
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inherited |
A setter function users will employ if they need to do something other than save no solution history
Definition at line 97 of file time_solver.C.
References libMesh::SolutionHistory::clone(), and libMesh::TimeSolver::solution_history.
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overridevirtual |
Forms the jacobian of the boundary terms.
Implements libMesh::TimeSolver.
Definition at line 175 of file eigen_time_solver.C.
References libMesh::TimeSolver::_system, libMesh::DiffContext::elem_solution_derivative, libMesh::DiffContext::elem_solution_rate_derivative, libMesh::DiffContext::get_elem_jacobian(), libMesh::DifferentiableSystem::get_physics(), Matrix_A, Matrix_B, now_assembling, libMesh::DifferentiablePhysics::side_constraint(), libMesh::DifferentiablePhysics::side_mass_residual(), and libMesh::DifferentiablePhysics::side_time_derivative().
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overridevirtual |
Implements the assembly of both matrices A and B, and calls the EigenSolver to compute the eigenvalues.
Reimplemented from libMesh::TimeSolver.
Definition at line 69 of file eigen_time_solver.C.
References libMesh::TimeSolver::_system, libMesh::DifferentiableSystem::assembly(), eigen_solver, libMesh::ImplicitSystem::get_matrix(), libMesh::ImplicitSystem::matrix, Matrix_A, Matrix_B, maxits, n_basis_vectors_to_use, n_converged_eigenpairs, n_eigenpairs_to_compute, n_iterations_reqd, now_assembling, libMesh::out, libMesh::TimeSolver::quiet, and tol.
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inlineinherited |
Definition at line 172 of file time_solver.h.
References libMesh::TimeSolver::_system.
Referenced by libMesh::TimeSolver::reinit(), and libMesh::TimeSolver::solve().
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inlineinherited |
Definition at line 177 of file time_solver.h.
References libMesh::TimeSolver::_system.
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staticprotectedinherited |
Actually holds the data.
Definition at line 122 of file reference_counter.h.
Referenced by libMesh::ReferenceCounter::get_info(), libMesh::ReferenceCounter::increment_constructor_count(), and libMesh::ReferenceCounter::increment_destructor_count().
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protectedinherited |
An implicit linear or nonlinear solver to use at each timestep.
Definition at line 248 of file time_solver.h.
Referenced by libMesh::NewmarkSolver::compute_initial_accel(), libMesh::TimeSolver::diff_solver(), and libMesh::UnsteadySolver::solve().
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staticprotectedinherited |
Flag to control whether reference count information is printed when print_info is called.
Definition at line 141 of file reference_counter.h.
Referenced by libMesh::ReferenceCounter::disable_print_counter_info(), libMesh::ReferenceCounter::enable_print_counter_info(), and libMesh::ReferenceCounter::print_info().
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protectedinherited |
An implicit linear solver to use for adjoint problems.
Definition at line 253 of file time_solver.h.
Referenced by libMesh::TimeSolver::linear_solver().
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staticprotectedinherited |
Mutual exclusion object to enable thread-safe reference counting.
Definition at line 135 of file reference_counter.h.
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staticprotectedinherited |
The number of objects. Print the reference count information when the number returns to 0.
Definition at line 130 of file reference_counter.h.
Referenced by libMesh::ReferenceCounter::n_objects(), libMesh::ReferenceCounter::ReferenceCounter(), and libMesh::ReferenceCounter::~ReferenceCounter().
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protectedinherited |
A reference to the system we are solving.
Definition at line 258 of file time_solver.h.
Referenced by libMesh::EulerSolver::_general_residual(), libMesh::Euler2Solver::_general_residual(), libMesh::SteadySolver::_general_residual(), libMesh::NewmarkSolver::_general_residual(), libMesh::UnsteadySolver::adjoint_advance_timestep(), libMesh::NewmarkSolver::advance_timestep(), libMesh::AdaptiveTimeSolver::advance_timestep(), libMesh::UnsteadySolver::advance_timestep(), libMesh::NewmarkSolver::compute_initial_accel(), libMesh::FirstOrderUnsteadySolver::compute_second_order_eqns(), libMesh::UnsteadySolver::du(), libMesh::EulerSolver::element_residual(), libMesh::Euler2Solver::element_residual(), element_residual(), libMesh::SecondOrderUnsteadySolver::init(), libMesh::UnsteadySolver::init(), libMesh::TimeSolver::init(), init(), libMesh::SecondOrderUnsteadySolver::init_data(), libMesh::UnsteadySolver::init_data(), libMesh::TimeSolver::init_data(), libMesh::EulerSolver::nonlocal_residual(), libMesh::Euler2Solver::nonlocal_residual(), nonlocal_residual(), libMesh::UnsteadySolver::old_nonlinear_solution(), libMesh::SecondOrderUnsteadySolver::old_solution_accel(), libMesh::SecondOrderUnsteadySolver::old_solution_rate(), libMesh::NewmarkSolver::project_initial_accel(), libMesh::SecondOrderUnsteadySolver::project_initial_rate(), libMesh::SecondOrderUnsteadySolver::reinit(), libMesh::UnsteadySolver::reinit(), libMesh::TimeSolver::reinit(), libMesh::UnsteadySolver::retrieve_timestep(), side_residual(), libMesh::TwostepTimeSolver::solve(), libMesh::UnsteadySolver::solve(), solve(), and libMesh::TimeSolver::system().
std::unique_ptr<EigenSolver<Number> > libMesh::EigenTimeSolver::eigen_solver |
The EigenSolver object. This is what actually makes the calls to SLEPc.
Definition at line 155 of file eigen_time_solver.h.
Referenced by EigenTimeSolver(), and solve().
unsigned int libMesh::EigenTimeSolver::maxits |
The maximum number of iterations allowed to solve the problem.
Definition at line 166 of file eigen_time_solver.h.
Referenced by solve().
unsigned int libMesh::EigenTimeSolver::n_basis_vectors_to_use |
The number of basis vectors to use in the computation. According to ex16, the number of basis vectors must be >= the number of eigenpairs requested, and ncv >= 2*nev is recommended. Increasing this number, even by a little bit, can greatly reduce the number of (EigenSolver) iterations required to compute the desired number of eigenpairs, but the cost per iteration goes up drastically as well.
Definition at line 182 of file eigen_time_solver.h.
Referenced by solve().
unsigned int libMesh::EigenTimeSolver::n_converged_eigenpairs |
After a solve, holds the number of eigenpairs successfully converged.
Definition at line 188 of file eigen_time_solver.h.
Referenced by solve().
unsigned int libMesh::EigenTimeSolver::n_eigenpairs_to_compute |
The number of eigenvectors/values to be computed.
Definition at line 171 of file eigen_time_solver.h.
Referenced by solve().
unsigned int libMesh::EigenTimeSolver::n_iterations_reqd |
After a solve, holds the number of iterations required to converge the requested number of eigenpairs.
Definition at line 194 of file eigen_time_solver.h.
Referenced by solve().
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private |
Flag which controls the internals of element_residual() and side_residual().
Definition at line 218 of file eigen_time_solver.h.
Referenced by element_residual(), nonlocal_residual(), side_residual(), and solve().
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inherited |
Print extra debugging information if quiet == false.
Definition at line 192 of file time_solver.h.
Referenced by libMesh::TwostepTimeSolver::solve(), libMesh::UnsteadySolver::solve(), and solve().
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inherited |
This value (which defaults to zero) is the number of times the TimeSolver is allowed to halve deltat and let the DiffSolver repeat the latest failed solve with a reduced timestep.
Definition at line 221 of file time_solver.h.
Referenced by libMesh::TwostepTimeSolver::solve(), and libMesh::UnsteadySolver::solve().
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protectedinherited |
A std::unique_ptr to a SolutionHistory object. Default is NoSolutionHistory, which the user can override by declaring a different kind of SolutionHistory in the application
Definition at line 265 of file time_solver.h.
Referenced by libMesh::UnsteadySolver::adjoint_advance_timestep(), libMesh::UnsteadySolver::advance_timestep(), libMesh::UnsteadySolver::retrieve_timestep(), and libMesh::TimeSolver::set_solution_history().
Real libMesh::EigenTimeSolver::tol |
The linear solver tolerance to be used when solving the eigenvalue problem. FIXME: need more info...
Definition at line 161 of file eigen_time_solver.h.
Referenced by solve().