Stores the basis functions for a given element in a mesh (facet in 2d, cell in 3d). More...

#include <ElementBases.hpp>

Public Types
typedef std::function< Eigen::VectorXi(const int local_index, const mesh::Mesh &mesh)>	LocalNodeFromPrimitiveFunc

typedef std::function< void(const Eigen::MatrixXd &uv, std::vector< assembler::AssemblyValues > &basis_values)>	EvalBasesFunc

typedef std::function< void(quadrature::Quadrature &quadrature)>	QuadratureFunction

Public Member Functions
Eigen::MatrixXd	nodes () const
	Assemble the global nodal positions of the bases.

void	compute_quadrature (quadrature::Quadrature &quadrature) const
	quadrature points to evaluate the basis functions inside the element

void	compute_mass_quadrature (quadrature::Quadrature &quadrature) const

Eigen::VectorXi	local_nodes_for_primitive (const int local_index, const mesh::Mesh &mesh) const

void	eval_geom_mapping (const Eigen::MatrixXd &samples, Eigen::MatrixXd &mapped) const
	Map the sample positions in the parametric domain to the object domain (if the element has no parameterization, e.g.

void	eval_geom_mapping_grads (const Eigen::MatrixXd &samples, std::vector< Eigen::MatrixXd > &grads) const
	Evaluate the gradients of the geometric mapping defined above.

bool	is_complete () const
	Checks if all the bases are complete.

void	set_quadrature (const QuadratureFunction &fun)

void	set_mass_quadrature (const QuadratureFunction &fun)

void	evaluate_bases (const Eigen::MatrixXd &uv, std::vector< assembler::AssemblyValues > &basis_values) const
	evaluate stored bases at given points on the reference element saves results to basis_values

void	evaluate_grads (const Eigen::MatrixXd &uv, std::vector< assembler::AssemblyValues > &basis_values) const
	evaluate gradient of stored bases at given points on the reference element saves results to basis_values

void	set_bases_func (EvalBasesFunc fun)

void	set_grads_func (EvalBasesFunc fun)

void	set_local_node_from_primitive_func (LocalNodeFromPrimitiveFunc fun)
	sets mapping from local nodes to global nodes

Public Attributes
std::vector< Basis >	bases
	one basis function per node in the element

bool	has_parameterization = true

Private Member Functions
void	evaluate_bases_default (const Eigen::MatrixXd &uv, std::vector< assembler::AssemblyValues > &basis_values) const
	default to simply calling the Basis evaluation functions

void	evaluate_grads_default (const Eigen::MatrixXd &uv, std::vector< assembler::AssemblyValues > &basis_values) const

Private Attributes
EvalBasesFunc	eval_bases_func_

EvalBasesFunc	eval_grads_func_

QuadratureFunction	quadrature_builder_

QuadratureFunction	mass_quadrature_builder_

LocalNodeFromPrimitiveFunc	local_node_from_primitive_

Friends
std::ostream &	operator<< (std::ostream &os, const ElementBases &obj)

Detailed Description

Stores the basis functions for a given element in a mesh (facet in 2d, cell in 3d).

Definition at line 16 of file ElementBases.hpp.

Member Typedef Documentation

◆ EvalBasesFunc

typedef std::function<void(const Eigen::MatrixXd &uv, std::vector<assembler::AssemblyValues> &basis_values)> polyfem::basis::ElementBases::EvalBasesFunc

Definition at line 22 of file ElementBases.hpp.

◆ LocalNodeFromPrimitiveFunc

typedef std::function<Eigen::VectorXi(const int local_index, const mesh::Mesh &mesh)> polyfem::basis::ElementBases::LocalNodeFromPrimitiveFunc

Definition at line 19 of file ElementBases.hpp.

◆ QuadratureFunction

typedef std::function<void(quadrature::Quadrature &quadrature)> polyfem::basis::ElementBases::QuadratureFunction

Definition at line 25 of file ElementBases.hpp.

Member Function Documentation

◆ compute_mass_quadrature()

void polyfem::basis::ElementBases::compute_mass_quadrature ( quadrature::Quadrature & quadrature ) const

inline

Definition at line 34 of file ElementBases.hpp.

References mass_quadrature_builder_, and quadrature.

Referenced by polyfem::assembler::AssemblyValsCache::compute(), and polyfem::assembler::AssemblyValsCache::update().

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◆ compute_quadrature()

void polyfem::basis::ElementBases::compute_quadrature ( quadrature::Quadrature & quadrature ) const

inline

quadrature points to evaluate the basis functions inside the element

Definition at line 33 of file ElementBases.hpp.

References quadrature, and quadrature_builder_.

Referenced by polyfem::assembler::ElementAssemblyValues::compute(), and polyfem::assembler::ElementAssemblyValues::is_geom_mapping_positive().

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◆ eval_geom_mapping()

void polyfem::basis::ElementBases::eval_geom_mapping	(	const Eigen::MatrixXd &	samples,
		Eigen::MatrixXd &	mapped
	)		const

Map the sample positions in the parametric domain to the object domain (if the element has no parameterization, e.g.

harmonic bases, then the parametric domain = object domain, and the mapping is identity)

Parameters

[in]	samples	#S x dim matrix of sample positions to evaluate
[out]	mapped	#S x dim matrix of mapped positions

Definition at line 19 of file ElementBases.cpp.

References bases, evaluate_bases(), polyfem::basis::Basis::global(), and has_parameterization.

Referenced by polyfem::assembler::MassMatrixAssembler::assemble_cross(), polyfem::solver::OperatorSplittingSolver::calculate_local_pts(), polyfem::utils::extract_nodes(), and polyfem::assembler::RhsAssembler::lsq_bc().

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◆ eval_geom_mapping_grads()

void polyfem::basis::ElementBases::eval_geom_mapping_grads	(	const Eigen::MatrixXd &	samples,
		std::vector< Eigen::MatrixXd > &	grads
	)		const

Evaluate the gradients of the geometric mapping defined above.

Parameters

[in]	samples	#S x dim matrix of input sample positions
[out]	grads	#S list of dim x dim matrices of gradients

Definition at line 82 of file ElementBases.cpp.

References bases, evaluate_grads(), polyfem::basis::Basis::global(), and has_parameterization.

Referenced by polyfem::solver::OperatorSplittingSolver::calculate_local_pts().

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◆ evaluate_bases()

void polyfem::basis::ElementBases::evaluate_bases	(	const Eigen::MatrixXd &	uv,
		std::vector< assembler::AssemblyValues > &	basis_values
	)		const

inline

evaluate stored bases at given points on the reference element saves results to basis_values

Definition at line 71 of file ElementBases.hpp.

References eval_bases_func_, and evaluate_bases_default().

Referenced by polyfem::assembler::MassMatrixAssembler::assemble_cross(), polyfem::assembler::ElementAssemblyValues::compute(), eval_geom_mapping(), polyfem::io::Evaluator::interpolate_function(), and polyfem::assembler::RhsAssembler::lsq_bc().

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◆ evaluate_bases_default()

void polyfem::basis::ElementBases::evaluate_bases_default	(	const Eigen::MatrixXd &	uv,
		std::vector< assembler::AssemblyValues > &	basis_values
	)		const

private

default to simply calling the Basis evaluation functions

Definition at line 48 of file ElementBases.cpp.

References bases, and val.

Referenced by evaluate_bases().

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◆ evaluate_grads()

void polyfem::basis::ElementBases::evaluate_grads	(	const Eigen::MatrixXd &	uv,
		std::vector< assembler::AssemblyValues > &	basis_values
	)		const

inline

evaluate gradient of stored bases at given points on the reference element saves results to basis_values

Definition at line 84 of file ElementBases.hpp.

References eval_grads_func_, and evaluate_grads_default().

Referenced by polyfem::assembler::ElementAssemblyValues::compute(), eval_geom_mapping_grads(), and polyfem::assembler::ElementAssemblyValues::is_geom_mapping_positive().

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◆ evaluate_grads_default()

void polyfem::basis::ElementBases::evaluate_grads_default	(	const Eigen::MatrixXd &	uv,
		std::vector< assembler::AssemblyValues > &	basis_values
	)		const

private

Definition at line 65 of file ElementBases.cpp.

References bases.

Referenced by evaluate_grads().

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◆ is_complete()

bool polyfem::basis::ElementBases::is_complete ( ) const

Checks if all the bases are complete.

Definition at line 9 of file ElementBases.cpp.

References bases.

◆ local_nodes_for_primitive()

Eigen::VectorXi polyfem::basis::ElementBases::local_nodes_for_primitive	(	const int	local_index,
		const mesh::Mesh &	mesh
	)		const

inline

Definition at line 35 of file ElementBases.hpp.

References local_node_from_primitive_.

Referenced by polyfem::solver::LayerThicknessForm::build_collision_mesh(), polyfem::solver::ProxyContactForceForm::build_collision_mesh(), polyfem::assembler::RhsAssembler::compute_energy_hess(), polyfem::io::OutGeometryData::extract_boundary_mesh(), and polyfem::assembler::RhsAssembler::sample_bc().

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◆ nodes()

Eigen::MatrixXd polyfem::basis::ElementBases::nodes ( ) const

Assemble the global nodal positions of the bases.

Definition at line 134 of file ElementBases.cpp.

References bases.

Referenced by polyfem::assembler::MassMatrixAssembler::assemble_cross().

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◆ set_bases_func()

void polyfem::basis::ElementBases::set_bases_func ( EvalBasesFunc fun )

inline

Definition at line 96 of file ElementBases.hpp.

References eval_bases_func_.

Referenced by polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), and polyfem::basis::BarycentricBasis2d::build_bases().

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◆ set_grads_func()

void polyfem::basis::ElementBases::set_grads_func ( EvalBasesFunc fun )

inline

Definition at line 97 of file ElementBases.hpp.

References eval_grads_func_.

Referenced by polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), and polyfem::basis::BarycentricBasis2d::build_bases().

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◆ set_local_node_from_primitive_func()

void polyfem::basis::ElementBases::set_local_node_from_primitive_func ( LocalNodeFromPrimitiveFunc fun )

inline

sets mapping from local nodes to global nodes

Definition at line 100 of file ElementBases.hpp.

References local_node_from_primitive_.

Referenced by polyfem::basis::SplineBasis2d::build_bases(), polyfem::basis::SplineBasis3d::build_bases(), and polyfem::basis::BarycentricBasis2d::build_bases().

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◆ set_mass_quadrature()

void polyfem::basis::ElementBases::set_mass_quadrature ( const QuadratureFunction & fun )

inline

Definition at line 67 of file ElementBases.hpp.

References mass_quadrature_builder_.

Referenced by polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), polyfem::basis::SplineBasis2d::build_bases(), polyfem::basis::SplineBasis3d::build_bases(), and polyfem::basis::BarycentricBasis2d::build_bases().

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◆ set_quadrature()

void polyfem::basis::ElementBases::set_quadrature ( const QuadratureFunction & fun )

inline

Definition at line 66 of file ElementBases.hpp.

References quadrature_builder_.

Referenced by polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), polyfem::basis::SplineBasis2d::build_bases(), polyfem::basis::SplineBasis3d::build_bases(), and polyfem::basis::BarycentricBasis2d::build_bases().

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Friends And Related Symbol Documentation

◆ operator<<

std::ostream & operator<<	(	std::ostream &	os,
		const ElementBases &	obj
	)

friend

Definition at line 57 of file ElementBases.hpp.

Member Data Documentation

◆ bases

std::vector<Basis> polyfem::basis::ElementBases::bases

one basis function per node in the element

Definition at line 27 of file ElementBases.hpp.

Referenced by polyfem::assembler::MassMatrixAssembler::assemble_cross(), polyfem::io::Evaluator::average_grad_based_function(), polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), polyfem::basis::SplineBasis2d::build_bases(), polyfem::basis::SplineBasis3d::build_bases(), polyfem::basis::BarycentricBasis2d::build_bases(), polyfem::mesh::build_collision_proxy(), polyfem::State::build_mesh_matrices(), polyfem::assembler::ElementAssemblyValues::compute(), polyfem::compute_diplacement_grad(), polyfem::assembler::ElementAssemblyValues::eval_deformed_jacobian_determinant(), eval_geom_mapping(), eval_geom_mapping_grads(), evaluate_bases_default(), evaluate_grads_default(), polyfem::io::OutGeometryData::extract_boundary_mesh(), polyfem::assembler::ElementAssemblyValues::finalize2d(), polyfem::assembler::ElementAssemblyValues::finalize3d(), polyfem::io::Evaluator::interpolate_boundary_function(), polyfem::io::Evaluator::interpolate_function(), is_complete(), polyfem::assembler::ElementAssemblyValues::is_geom_mapping_positive(), polyfem::assembler::RhsAssembler::lsq_bc(), nodes(), polyfem::assembler::RhsAssembler::sample_bc(), and polyfem::assembler::RhsAssembler::time_bc().

◆ eval_bases_func_

EvalBasesFunc polyfem::basis::ElementBases::eval_bases_func_

private

Definition at line 108 of file ElementBases.hpp.

Referenced by evaluate_bases(), and set_bases_func().

◆ eval_grads_func_

EvalBasesFunc polyfem::basis::ElementBases::eval_grads_func_

private

Definition at line 109 of file ElementBases.hpp.

Referenced by evaluate_grads(), and set_grads_func().

◆ has_parameterization

bool polyfem::basis::ElementBases::has_parameterization = true

Definition at line 39 of file ElementBases.hpp.

Referenced by polyfem::basis::PolygonalBasis2d::build_bases(), polyfem::basis::PolygonalBasis3d::build_bases(), polyfem::basis::BarycentricBasis2d::build_bases(), polyfem::assembler::ElementAssemblyValues::compute(), eval_geom_mapping(), eval_geom_mapping_grads(), polyfem::assembler::ElementAssemblyValues::finalize2d(), polyfem::assembler::ElementAssemblyValues::finalize3d(), and polyfem::assembler::ElementAssemblyValues::is_geom_mapping_positive().

◆ local_node_from_primitive_

LocalNodeFromPrimitiveFunc polyfem::basis::ElementBases::local_node_from_primitive_

private

Definition at line 113 of file ElementBases.hpp.

Referenced by local_nodes_for_primitive(), and set_local_node_from_primitive_func().

◆ mass_quadrature_builder_

QuadratureFunction polyfem::basis::ElementBases::mass_quadrature_builder_

private

Definition at line 111 of file ElementBases.hpp.

Referenced by compute_mass_quadrature(), and set_mass_quadrature().

◆ quadrature_builder_

QuadratureFunction polyfem::basis::ElementBases::quadrature_builder_

private

Definition at line 110 of file ElementBases.hpp.

Referenced by compute_quadrature(), and set_quadrature().

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

src/polyfem/basis/ElementBases.hpp
src/polyfem/basis/ElementBases.cpp

Public Types

Public Member Functions

Public Attributes

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ EvalBasesFunc

◆ LocalNodeFromPrimitiveFunc

◆ QuadratureFunction

Member Function Documentation

◆ compute_mass_quadrature()

◆ compute_quadrature()

◆ eval_geom_mapping()

◆ eval_geom_mapping_grads()

◆ evaluate_bases()

◆ evaluate_bases_default()

◆ evaluate_grads()

◆ evaluate_grads_default()

◆ is_complete()

◆ local_nodes_for_primitive()

◆ nodes()

◆ set_bases_func()

◆ set_grads_func()

◆ set_local_node_from_primitive_func()

◆ set_mass_quadrature()

◆ set_quadrature()

Friends And Related Symbol Documentation

◆ operator<<

Member Data Documentation

◆ bases

◆ eval_bases_func_

◆ eval_grads_func_

◆ has_parameterization

◆ local_node_from_primitive_

◆ mass_quadrature_builder_

◆ quadrature_builder_