polyfem::varform::FESpace Class Reference

A finite-element space for one scalar- or vector-valued field. More...

#include <FESpace.hpp>

Public Member Functions
int	ndof () const
bool	has_bases () const
bool	is_iso_parametric () const
const std::vector< basis::ElementBases > &	basis_list () const
const std::vector< basis::ElementBases > &	geometry_basis_list () const
void	reset ()

Public Attributes
int	value_dim = 1
	Number of field components per scalar basis function.
int	n_bases = 0
	Number of globally indexed scalar basis functions in the space.
std::shared_ptr< std::vector< basis::ElementBases > >	bases
	Per-element basis data.
Eigen::VectorXi	disc_orders
	Primary polynomial degree for each mesh element.
Eigen::VectorXi	disc_ordersq
	Secondary polynomial degree for anisotropic bases, e.g. prisms.
std::map< int, basis::InterfaceData >	poly_edge_to_data
	Polygonal-basis construction data, indexed by element ID.
std::map< int, Eigen::MatrixXd >	polys
	Physical boundary samples for 2D polygonal elements.
std::map< int, std::pair< Eigen::MatrixXd, Eigen::MatrixXi > >	polys_3d
	Physical vertices and face connectivity for 3D polyhedral elements.
std::shared_ptr< mesh::MeshNodes >	mesh_nodes
	Optional primitive-to-node mapping for this FE space.
std::shared_ptr< GeometryMapping >	geometry
	Geometric mapping used to integrate this FE space.
Eigen::VectorXi	space_in_node_to_node
Eigen::VectorXi	space_in_primitive_to_primitive

Detailed Description

A finite-element space for one scalar- or vector-valued field.

Definition at line 58 of file FESpace.hpp.

Member Function Documentation

basis_list()

const std::vector< basis::ElementBases > & polyfem::varform::FESpace::basis_list ( ) const

inline

Definition at line 109 of file FESpace.hpp.

References bases.

Referenced by polyfem::varform::BilaplacianVarForm::assemble_mass_mat(), polyfem::varform::ElasticVarForm::assemble_mass_mat(), polyfem::varform::FluidVarForm::assemble_mass_mat(), polyfem::varform::IncompressibleElasticVarForm::assemble_mass_mat(), polyfem::varform::ScalarVarForm::assemble_mass_mat(), polyfem::varform::BilaplacianVarForm::assemble_rhs(), polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::ElasticVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::ScalarVarForm::build_basis(), polyfem::varform::BilaplacianVarForm::build_rhs_assembler(), polyfem::varform::ElasticVarForm::build_rhs_assembler(), polyfem::varform::FluidVarForm::build_rhs_assembler(), polyfem::varform::IncompressibleElasticVarForm::build_rhs_assembler(), polyfem::varform::ScalarVarForm::build_rhs_assembler(), polyfem::varform::BilaplacianVarForm::build_stiffness_mat(), polyfem::varform::FluidVarForm::build_stiffness_mat(), polyfem::varform::IncompressibleElasticVarForm::build_stiffness_mat(), polyfem::varform::LinearElasticVarForm::build_stiffness_mat(), polyfem::varform::BilaplacianVarForm::compute_errors(), polyfem::varform::FluidVarForm::compute_errors(), polyfem::varform::IncompressibleElasticVarForm::compute_errors(), polyfem::varform::ScalarVarForm::compute_errors(), polyfem::varform::ElasticVarForm::elastic_output_fields(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::BilaplacianVarForm::output_fields(), polyfem::varform::FluidVarForm::output_fields(), polyfem::varform::IncompressibleElasticVarForm::output_fields(), and polyfem::varform::ScalarVarForm::output_fields().

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geometry_basis_list()

const std::vector< basis::ElementBases > & polyfem::varform::FESpace::geometry_basis_list ( ) const

inline

Definition at line 115 of file FESpace.hpp.

References geometry.

Referenced by polyfem::varform::BilaplacianVarForm::assemble_mass_mat(), polyfem::varform::ElasticVarForm::assemble_mass_mat(), polyfem::varform::FluidVarForm::assemble_mass_mat(), polyfem::varform::IncompressibleElasticVarForm::assemble_mass_mat(), polyfem::varform::ScalarVarForm::assemble_mass_mat(), polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::ElasticVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::ScalarVarForm::build_basis(), polyfem::varform::ElasticVarForm::build_rhs_assembler(), polyfem::varform::FluidVarForm::build_rhs_assembler(), polyfem::varform::IncompressibleElasticVarForm::build_rhs_assembler(), polyfem::varform::ScalarVarForm::build_rhs_assembler(), polyfem::varform::BilaplacianVarForm::build_rhs_assembler(), polyfem::varform::BilaplacianVarForm::build_stiffness_mat(), polyfem::varform::FluidVarForm::build_stiffness_mat(), polyfem::varform::IncompressibleElasticVarForm::build_stiffness_mat(), polyfem::varform::LinearElasticVarForm::build_stiffness_mat(), polyfem::varform::BilaplacianVarForm::compute_errors(), polyfem::varform::FluidVarForm::compute_errors(), polyfem::varform::IncompressibleElasticVarForm::compute_errors(), polyfem::varform::ScalarVarForm::compute_errors(), polyfem::varform::ElasticVarForm::elastic_output_fields(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::LinearElasticVarForm::init_linear_solve(), polyfem::varform::BilaplacianVarForm::output_fields(), polyfem::varform::FluidVarForm::output_fields(), polyfem::varform::IncompressibleElasticVarForm::output_fields(), polyfem::varform::ScalarVarForm::output_fields(), polyfem::varform::BilaplacianVarForm::output_space(), polyfem::varform::FluidVarForm::output_space(), and polyfem::varform::ScalarVarForm::output_space().

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has_bases()

bool polyfem::varform::FESpace::has_bases ( ) const

inline

Definition at line 99 of file FESpace.hpp.

References bases.

is_iso_parametric()

bool polyfem::varform::FESpace::is_iso_parametric ( ) const

inline

Definition at line 104 of file FESpace.hpp.

References bases, and geometry.

Referenced by polyfem::varform::VarForm::build_fe_space(), polyfem::varform::ElasticVarForm::elastic_primitive_to_node(), polyfem::varform::BilaplacianVarForm::save_json(), polyfem::varform::FluidVarForm::save_json(), polyfem::varform::IncompressibleElasticVarForm::save_json(), and polyfem::varform::ScalarVarForm::save_json().

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ndof()

int polyfem::varform::FESpace::ndof ( ) const

inline

Definition at line 94 of file FESpace.hpp.

References n_bases, and value_dim.

reset()

void polyfem::varform::FESpace::reset ( )

inline

Definition at line 122 of file FESpace.hpp.

References bases, disc_orders, disc_ordersq, geometry, mesh_nodes, n_bases, poly_edge_to_data, polys, polys_3d, space_in_node_to_node, space_in_primitive_to_primitive, and value_dim.

Referenced by polyfem::varform::VarForm::build_fe_space(), polyfem::varform::BilaplacianVarForm::reset(), polyfem::varform::ElasticVarForm::reset(), polyfem::varform::FluidVarForm::reset(), polyfem::varform::IncompressibleElasticVarForm::reset(), and polyfem::varform::ScalarVarForm::reset().

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Member Data Documentation

bases

std::shared_ptr<std::vector<basis::ElementBases> > polyfem::varform::FESpace::bases

Per-element basis data.

Definition at line 68 of file FESpace.hpp.

Referenced by basis_list(), polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_polygonal_basis(), has_bases(), polyfem::varform::GeometryMapping::init_from_fe_space(), polyfem::varform::LinearElasticVarForm::init_linear_solve(), is_iso_parametric(), and reset().

disc_orders

Eigen::VectorXi polyfem::varform::FESpace::disc_orders

Primary polynomial degree for each mesh element.

Definition at line 71 of file FESpace.hpp.

Referenced by polyfem::varform::BilaplacianVarForm::assemble_rhs(), polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_node_mapping(), polyfem::varform::ElasticVarForm::elastic_boundary_samples(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::GeometryMapping::init_from_fe_space(), polyfem::varform::BilaplacianVarForm::output_space(), polyfem::varform::FluidVarForm::output_space(), polyfem::varform::ScalarVarForm::output_space(), reset(), polyfem::varform::BilaplacianVarForm::save_json(), polyfem::varform::FluidVarForm::save_json(), polyfem::varform::IncompressibleElasticVarForm::save_json(), polyfem::varform::ScalarVarForm::save_json(), polyfem::varform::BilaplacianVarForm::solve_static_linear(), and polyfem::varform::BilaplacianVarForm::solve_transient_linear().

disc_ordersq

Eigen::VectorXi polyfem::varform::FESpace::disc_ordersq

Secondary polynomial degree for anisotropic bases, e.g. prisms.

Definition at line 74 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_fe_space(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::BilaplacianVarForm::output_space(), polyfem::varform::FluidVarForm::output_space(), polyfem::varform::ScalarVarForm::output_space(), reset(), polyfem::varform::BilaplacianVarForm::save_json(), polyfem::varform::FluidVarForm::save_json(), polyfem::varform::IncompressibleElasticVarForm::save_json(), and polyfem::varform::ScalarVarForm::save_json().

geometry

std::shared_ptr<GeometryMapping> polyfem::varform::FESpace::geometry

Geometric mapping used to integrate this FE space.

Definition at line 89 of file FESpace.hpp.

Referenced by polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_polygonal_basis(), polyfem::varform::ElasticVarForm::elastic_node_to_primitive(), polyfem::varform::ElasticVarForm::elastic_primitive_to_node(), geometry_basis_list(), is_iso_parametric(), and reset().

mesh_nodes

std::shared_ptr<mesh::MeshNodes> polyfem::varform::FESpace::mesh_nodes

Optional primitive-to-node mapping for this FE space.

Definition at line 86 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_node_mapping(), polyfem::varform::ElasticVarForm::elastic_primitive_to_node(), polyfem::varform::GeometryMapping::init_from_fe_space(), and reset().

n_bases

int polyfem::varform::FESpace::n_bases = 0

Number of globally indexed scalar basis functions in the space.

Definition at line 65 of file FESpace.hpp.

Referenced by polyfem::varform::BilaplacianVarForm::assemble_mass_mat(), polyfem::varform::ElasticVarForm::assemble_mass_mat(), polyfem::varform::FluidVarForm::assemble_mass_mat(), polyfem::varform::IncompressibleElasticVarForm::assemble_mass_mat(), polyfem::varform::ScalarVarForm::assemble_mass_mat(), polyfem::varform::BilaplacianVarForm::assemble_rhs(), polyfem::varform::IncompressibleElasticVarForm::assemble_rhs(), polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::ElasticVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::ScalarVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_polygonal_basis(), polyfem::varform::BilaplacianVarForm::build_rhs_assembler(), polyfem::varform::ElasticVarForm::build_rhs_assembler(), polyfem::varform::FluidVarForm::build_rhs_assembler(), polyfem::varform::IncompressibleElasticVarForm::build_rhs_assembler(), polyfem::varform::ScalarVarForm::build_rhs_assembler(), polyfem::varform::BilaplacianVarForm::build_stiffness_mat(), polyfem::varform::FluidVarForm::build_stiffness_mat(), polyfem::varform::IncompressibleElasticVarForm::build_stiffness_mat(), polyfem::varform::LinearElasticVarForm::build_stiffness_mat(), polyfem::varform::BilaplacianVarForm::compute_errors(), polyfem::varform::FluidVarForm::compute_errors(), polyfem::varform::IncompressibleElasticVarForm::compute_errors(), polyfem::varform::ScalarVarForm::compute_errors(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::GeometryMapping::init_from_fe_space(), polyfem::varform::LinearElasticVarForm::init_linear_solve(), ndof(), polyfem::varform::BilaplacianVarForm::output_fields(), polyfem::varform::ScalarVarForm::output_fields(), polyfem::varform::BilaplacianVarForm::prepare_initial_solution(), polyfem::varform::IncompressibleElasticVarForm::prepare_initial_solution(), polyfem::varform::FluidVarForm::pressure_block_size(), polyfem::varform::FluidVarForm::primary_ndof(), polyfem::varform::IncompressibleElasticVarForm::primary_ndof(), reset(), polyfem::varform::BilaplacianVarForm::save_json(), polyfem::varform::FluidVarForm::save_json(), polyfem::varform::IncompressibleElasticVarForm::save_json(), polyfem::varform::ScalarVarForm::save_json(), polyfem::varform::BilaplacianVarForm::solve_linear_system(), polyfem::varform::LinearElasticVarForm::solve_linear_system(), polyfem::varform::BilaplacianVarForm::solve_transient_linear(), polyfem::varform::IncompressibleElasticVarForm::solve_transient_linear(), polyfem::varform::BilaplacianVarForm::split_solution(), polyfem::varform::FluidVarForm::split_solution(), polyfem::varform::IncompressibleElasticVarForm::split_solution(), polyfem::varform::BilaplacianVarForm::stacked_ndof(), and polyfem::varform::IncompressibleElasticVarForm::stacked_ndof().

poly_edge_to_data

std::map<int, basis::InterfaceData> polyfem::varform::FESpace::poly_edge_to_data

Polygonal-basis construction data, indexed by element ID.

Definition at line 77 of file FESpace.hpp.

Referenced by polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::IncompressibleElasticVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::VarForm::build_polygonal_basis(), and reset().

polys

std::map<int, Eigen::MatrixXd> polyfem::varform::FESpace::polys

Physical boundary samples for 2D polygonal elements.

Definition at line 80 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_polygonal_basis(), polyfem::varform::GeometryMapping::init_from_fe_space(), polyfem::varform::BilaplacianVarForm::output_space(), polyfem::varform::FluidVarForm::output_space(), polyfem::varform::ScalarVarForm::output_space(), and reset().

polys_3d

std::map<int, std::pair<Eigen::MatrixXd, Eigen::MatrixXi> > polyfem::varform::FESpace::polys_3d

Physical vertices and face connectivity for 3D polyhedral elements.

Definition at line 83 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_polygonal_basis(), polyfem::varform::GeometryMapping::init_from_fe_space(), polyfem::varform::BilaplacianVarForm::output_space(), polyfem::varform::FluidVarForm::output_space(), polyfem::varform::ScalarVarForm::output_space(), and reset().

space_in_node_to_node

Eigen::VectorXi polyfem::varform::FESpace::space_in_node_to_node

Definition at line 91 of file FESpace.hpp.

Referenced by polyfem::varform::BilaplacianVarForm::build_basis(), polyfem::varform::ElasticVarForm::build_basis(), polyfem::varform::FluidVarForm::build_basis(), polyfem::varform::ScalarVarForm::build_basis(), polyfem::varform::VarForm::build_fe_space(), polyfem::varform::BilaplacianVarForm::export_data(), polyfem::varform::FluidVarForm::export_data(), polyfem::varform::ScalarVarForm::export_data(), polyfem::varform::ElasticVarForm::initial_acceleration(), polyfem::varform::ElasticVarForm::initial_elastic_solution(), polyfem::varform::ElasticVarForm::initial_velocity(), polyfem::varform::BilaplacianVarForm::prepare_initial_solution(), polyfem::varform::FluidVarForm::prepare_initial_solution(), polyfem::varform::ScalarVarForm::prepare_initial_solution(), and reset().

space_in_primitive_to_primitive

Eigen::VectorXi polyfem::varform::FESpace::space_in_primitive_to_primitive

Definition at line 92 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_fe_space(), and reset().

value_dim

int polyfem::varform::FESpace::value_dim = 1

Number of field components per scalar basis function.

Definition at line 62 of file FESpace.hpp.

Referenced by polyfem::varform::VarForm::build_fe_space(), ndof(), and reset().

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

• src/polyfem/varforms/FESpace.hpp