libMesh::FEType Class Reference

Manages the family, order, etc. parameters for a given FE. More...

#include <fe_type.h>

Public Member Functions
	FEType (const int o=1, const FEFamily f=LAGRANGE)
	FEType (const int o=1, const FEFamily f=LAGRANGE, const int ro=THIRD, const FEFamily rf=JACOBI_20_00, const InfMapType im=CARTESIAN)
bool	operator== (const FEType &f2) const
bool	operator!= (const FEType &f2) const
bool	operator< (const FEType &f2) const
Order	default_quadrature_order () const
std::unique_ptr< QBase >	default_quadrature_rule (const unsigned int dim, const int extraorder=0) const

Public Attributes
OrderWrapper	order
FEFamily	family
OrderWrapper	radial_order
FEFamily	radial_family
InfMapType	inf_map

Detailed Description

Manages the family, order, etc. parameters for a given FE.

class FEType hides (possibly multiple) FEFamily and approximation orders, thereby enabling specialized finite element families.

Author

Benjamin S. Kirk

Date

2002

Definition at line 179 of file fe_type.h.

Constructor & Destructor Documentation

FEType() [1/2]

libMesh::FEType::FEType ( const int  o = 1, const FEFamily  f = LAGRANGE  )

inline

Constructor. Optionally takes the approximation Order and the finite element family FEFamily

Definition at line 189 of file fe_type.h.

                                      :
    order(o),
    family(f)
  {}

FEType() [2/2]

libMesh::FEType::FEType ( const int  o = 1, const FEFamily  f = LAGRANGE, const int  ro = THIRD, const FEFamily  rf = JACOBI_20_00, const InfMapType  im = CARTESIAN  )

inline

Constructor. Optionally takes the approximation Order and the finite element family FEFamily.

Note

For non-infinite elements, the order and base order are the same, as with the family and base_family. It must be so, otherwise what we switch on would change when infinite elements are not compiled in.

Definition at line 217 of file fe_type.h.

                                          :
    order(o),
    radial_order(ro),
    family(f),
    radial_family(rf),
    inf_map(im)
  {}

Member Function Documentation

default_quadrature_order()

Order libMesh::FEType::default_quadrature_order ( ) const

inline

Returns

The default quadrature order for this FEType. The default quadrature order is calculated assuming a polynomial of degree order and is based on integrating the mass matrix for such an element exactly.

Definition at line 333 of file fe_type.h.

References libMesh::OrderWrapper::get_order(), and order.

Referenced by libMesh::FEGenericBase< FEOutputType< T >::type >::compute_periodic_constraints(), libMesh::FEGenericBase< FEOutputType< T >::type >::compute_proj_constraints(), default_quadrature_rule(), and libMesh::Elem::volume().

{
  return static_cast<Order>(2*static_cast<unsigned int>(order.get_order()) + 1);
}

default_quadrature_rule()

std::unique_ptr< QBase > libMesh::FEType::default_quadrature_rule	(	const unsigned int	dim,
		const int	extraorder = 0
	)		const

Returns

A quadrature rule of appropriate type and order for this FEType. The default quadrature rule is based on integrating the mass matrix for such an element exactly. Higher or lower degree rules can be chosen by changing the extraorder parameter.

Definition at line 31 of file fe_type.C.

References libMesh::CLOUGH, default_quadrature_order(), family, std::max(), and libMesh::SUBDIVISION.

Referenced by libMesh::ExactSolution::_compute_error(), libMesh::UniformRefinementEstimator::_estimate_error(), libMesh::System::calculate_norm(), libMesh::FEGenericBase< FEOutputType< T >::type >::coarsened_dof_values(), libMesh::ExactErrorEstimator::estimate_error(), libMesh::FEMContext::init_internal_data(), libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::operator()(), libMesh::WeightedPatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::PatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::BoundaryProjectSolution::operator()(), and libMesh::HPCoarsenTest::select_refinement().

{
  // Clough elements have at least piecewise cubic functions
  if (family == CLOUGH)
    {
      Order o = static_cast<Order>(std::max(static_cast<unsigned int>(this->default_quadrature_order()),
                                            static_cast<unsigned int>(7 + extraorder)));
      return libmesh_make_unique<QClough>(dim, o);
    }

  if (family == SUBDIVISION)
    return libmesh_make_unique<QGauss>(dim, static_cast<Order>(1 + extraorder));

  return libmesh_make_unique<QGauss>(dim, static_cast<Order>(this->default_quadrature_order() + extraorder));
}

operator!=()

bool libMesh::FEType::operator!= ( const FEType &  f2 ) const

inline

Tests inequality

Definition at line 280 of file fe_type.h.

  {
    return !(*this == f2);
  }

operator<()

bool libMesh::FEType::operator< ( const FEType &  f2 ) const

inline

An ordering to make FEType useful as a std::map key

Definition at line 288 of file fe_type.h.

References family, inf_map, order, radial_family, and radial_order.

  {
    if (order != f2.order)
      return (order < f2.order);
    if (family != f2.family)
      return (family < f2.family);

#ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
    if (radial_order != f2.radial_order)
      return (radial_order < f2.radial_order);
    if (radial_family != f2.radial_family)
      return (radial_family < f2.radial_family);
    if (inf_map != f2.inf_map)
      return (inf_map < f2.inf_map);
#endif // ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
    return false;
  }

operator==()

bool libMesh::FEType::operator== ( const FEType &  f2 ) const

inline

Tests equality

Definition at line 265 of file fe_type.h.

References family, inf_map, order, radial_family, and radial_order.

  {
    return (order == f2.order
            && family == f2.family
#ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
            && radial_order == f2.radial_order
            && radial_family == f2.radial_family
            && inf_map == f2.inf_map
#endif // ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
            );
  }

Member Data Documentation

family

FEFamily libMesh::FEType::family

The type of finite element. Valid types are LAGRANGE, HIERARCHIC, etc...

The type of approximation in radial direction. Valid types are JACOBI_20_00, JACOBI_30_00, etc...

Definition at line 204 of file fe_type.h.

Referenced by libMesh::DofMap::_dof_indices(), libMesh::FEMSystem::assembly(), libMesh::FETransformationBase< OutputShape >::build(), libMesh::FEMap::build(), libMesh::FEAbstract::build(), libMesh::FEGenericBase< FEOutputType< T >::type >::build(), libMesh::FEMContext::build_new_fe(), libMesh::FEInterface::compute_constraints(), libMesh::GMVIO::copy_nodal_solution(), default_quadrature_rule(), libMesh::DofMap::distribute_dofs(), libMesh::DofMap::distribute_local_dofs_node_major(), libMesh::DofMap::distribute_local_dofs_var_major(), libMesh::DofMap::dof_indices(), libMesh::JumpErrorEstimator::estimate_error(), libMesh::FEInterface::extra_hanging_dofs(), libMesh::FEInterface::field_type(), libMesh::FEAbstract::get_family(), libMesh::System::get_info(), libMesh::FEMContext::init_internal_data(), libMesh::FEInterface::max_order(), libMesh::Variable::n_components(), libMesh::FEInterface::n_vec_dim(), libMesh::DofMap::old_dof_indices(), libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::operator()(), libMesh::BoundaryProjectSolution::operator()(), operator<(), operator==(), libMesh::System::read_header(), libMesh::System::read_parallel_data(), libMesh::System::read_serialized_vectors(), libMesh::DofMap::reinit(), libMesh::PetscDMWrapper::set_point_range_in_section(), libMesh::System::write_header(), libMesh::System::write_parallel_data(), libMesh::System::write_serialized_vector(), and libMesh::System::write_serialized_vectors().

inf_map

InfMapType libMesh::FEType::inf_map

The coordinate mapping type of the infinite element. When the infinite elements are defined over a surface with a separable coordinate system (sphere, spheroid, ellipsoid), the infinite elements may take advantage of this fact.

Definition at line 258 of file fe_type.h.

Referenced by libMesh::FEGenericBase< FEOutputType< T >::type >::build_InfFE(), libMesh::System::get_info(), libMesh::FEInterface::ifem_inverse_map(), libMesh::FEInterface::ifem_map(), libMesh::FEInterface::ifem_nodal_soln(), libMesh::InfFE< Dim, T_radial, T_map >::InfFE(), operator<(), operator==(), libMesh::System::read_header(), and libMesh::System::write_header().

order

OrderWrapper libMesh::FEType::order

The approximation order of the element.

The approximation order in radial direction of the infinite element.

Definition at line 198 of file fe_type.h.

Referenced by libMesh::DofMap::_dof_indices(), libMesh::PetscDMWrapper::add_dofs_to_section(), libMesh::FEMContext::build_new_fe(), libMesh::FEGenericBase< FEOutputType< T >::type >::coarsened_dof_values(), libMesh::FEInterface::compute_data(), libMesh::FEGenericBase< FEOutputType< T >::type >::compute_proj_constraints(), libMesh::DofMap::constrain_p_dofs(), libMesh::GMVIO::copy_nodal_solution(), default_quadrature_order(), libMesh::DofMap::distribute_dofs(), libMesh::DofMap::distribute_local_dofs_node_major(), libMesh::DofMap::distribute_local_dofs_var_major(), libMesh::DofMap::dof_indices(), libMesh::FEInterface::dofs_on_edge(), libMesh::FEInterface::dofs_on_side(), libMesh::System::get_info(), libMesh::FEAbstract::get_order(), libMesh::FEMContext::init_internal_data(), libMesh::FESubdivision::init_shape_functions(), libMesh::Variable::n_components(), libMesh::FEInterface::n_dofs(), libMesh::FEInterface::n_dofs_at_node(), libMesh::FEInterface::n_dofs_per_elem(), libMesh::FEInterface::n_shape_functions(), libMesh::FEInterface::nodal_soln(), libMesh::DofMap::old_dof_indices(), libMesh::GenericProjector< FFunctor, GFunctor, FValue, ProjectionAction >::operator()(), libMesh::WeightedPatchRecoveryErrorEstimator::EstimateError::operator()(), libMesh::PatchRecoveryErrorEstimator::EstimateError::operator()(), operator<(), operator==(), libMesh::System::read_header(), libMesh::System::read_SCALAR_dofs(), libMesh::DofMap::reinit(), libMesh::DofMap::SCALAR_dof_indices(), libMesh::HPCoarsenTest::select_refinement(), libMesh::FEAbstract::set_fe_order(), libMesh::FEInterface::shape(), and libMesh::System::write_header().

radial_family

FEFamily libMesh::FEType::radial_family

For InfFE, family contains the radial shape family, while base_family contains the approximation type in circumferential direction. Valid types are LAGRANGE, HIERARCHIC, etc...

Definition at line 250 of file fe_type.h.

Referenced by libMesh::FEGenericBase< FEOutputType< T >::type >::build_InfFE(), libMesh::System::get_info(), libMesh::FEInterface::ifem_compute_data(), libMesh::FEInterface::ifem_nodal_soln(), libMesh::FEInterface::ifem_shape(), libMesh::InfFE< Dim, T_radial, T_map >::InfFE(), operator<(), operator==(), libMesh::System::read_header(), and libMesh::System::write_header().

radial_order

OrderWrapper libMesh::FEType::radial_order

The approximation order in the base of the infinite element.

Definition at line 237 of file fe_type.h.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::compute_data(), libMesh::InfFE< Dim, T_radial, T_map >::compute_shape_indices(), libMesh::System::get_info(), libMesh::InfFE< Dim, T_radial, T_map >::n_dofs(), libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_at_node(), libMesh::InfFE< Dim, T_radial, T_map >::n_dofs_per_elem(), operator<(), operator==(), libMesh::System::read_header(), libMesh::InfFE< Dim, T_radial, T_map >::shape(), and libMesh::System::write_header().

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The documentation for this class was generated from the following files:

• fe_type.h
• fe_type.C