polyfem::basis::LagrangeBasis2d Class Reference

#include <LagrangeBasis2d.hpp>

Static Public Member Functions
static int	build_bases (const mesh::Mesh2D &mesh, const std::string &assembler, const int quadrature_order, const int mass_quadrature_order, const int discr_order, const bool serendipity, const bool has_polys, const bool is_geom_bases, std::vector< ElementBases > &bases, std::vector< mesh::LocalBoundary > &local_boundary, std::map< int, InterfaceData > &poly_edge_to_data, std::shared_ptr< mesh::MeshNodes > &mesh_nodes)
	Builds FE basis functions over the entire mesh (P1, P2 over triangles, Q1, Q2 over quads).
static int	build_bases (const mesh::Mesh2D &mesh, const std::string &assembler, const int quadrature_order, const int mass_quadrature_order, const Eigen::VectorXi &discr_order, const bool serendipity, const bool has_polys, const bool is_geom_bases, std::vector< ElementBases > &bases, std::vector< mesh::LocalBoundary > &local_boundary, std::map< int, InterfaceData > &poly_edge_to_data, std::shared_ptr< mesh::MeshNodes > &mesh_nodes)
	Builds FE basis functions over the entire mesh (P1, P2 over triangles, Q1, Q2 over quads).
static Eigen::VectorXi	tri_edge_local_nodes (const int p, const mesh::Mesh2D &mesh, mesh::Navigation::Index index)
static Eigen::VectorXi	quad_edge_local_nodes (const int q, const mesh::Mesh2D &mesh, mesh::Navigation::Index index)

Detailed Description

Definition at line 19 of file LagrangeBasis2d.hpp.

Member Function Documentation

build_bases() [1/2]

static int polyfem::basis::LagrangeBasis2d::build_bases ( const mesh::Mesh2D &  mesh, const std::string &  assembler, const int  quadrature_order, const int  mass_quadrature_order, const Eigen::VectorXi &  discr_order, const bool  serendipity, const bool  has_polys, const bool  is_geom_bases, std::vector< ElementBases > &  bases, std::vector< mesh::LocalBoundary > &  local_boundary, std::map< int, InterfaceData > &  poly_edge_to_data, std::shared_ptr< mesh::MeshNodes > &  mesh_nodes  )

static

Builds FE basis functions over the entire mesh (P1, P2 over triangles, Q1, Q2 over quads).

Polygonal facets with > 4 vertices are dealt later on by the PolygonalBasis2d class.

Parameters

[in]	mesh	The input planar mesh
[in]	assembler	The pde to solve
[in]	quadrature_order	The quadrature order
[in]	mass_quadrature_order	The quadrature for mass matrix
[in]	discr_order	The order for each element
[in]	serendipity	Uses serendipity bases or not (only for quads)
[in]	has_polys	Does the mesh has polygons, if not the interface mapping is not necessary
[in]	is_geom_bases	Flag to decide if build geometric mapping or normal bases, used to decide if the nodes are important
[out]	bases	List of basis functions per element
[out]	local_boundary	List of descriptor per element, indicating which edge of the canonical elements lie on the boundary of the mesh
[out]	poly_edge_to_data	Data for edges at the interface with a polygon (used to build the harmonics inside polygons)
[out]	mesh_nodes	Object for retrieving assigned node IDs.

Returns

The number of basis functions created.

build_bases() [2/2]

static int polyfem::basis::LagrangeBasis2d::build_bases ( const mesh::Mesh2D &  mesh, const std::string &  assembler, const int  quadrature_order, const int  mass_quadrature_order, const int  discr_order, const bool  serendipity, const bool  has_polys, const bool  is_geom_bases, std::vector< ElementBases > &  bases, std::vector< mesh::LocalBoundary > &  local_boundary, std::map< int, InterfaceData > &  poly_edge_to_data, std::shared_ptr< mesh::MeshNodes > &  mesh_nodes  )

static

Builds FE basis functions over the entire mesh (P1, P2 over triangles, Q1, Q2 over quads).

Polygonal facets with > 4 vertices are dealt later on by the PolygonalBasis2d class.

Parameters

[in]	mesh	The input planar mesh
[in]	assembler	The pde to solve
[in]	quadrature_order	The quadrature order
[in]	mass_quadrature_order	The quadrature for mass matrix
[in]	discr_order	The order of the elements (1-4)
[in]	serendipity	Uses serendipity bases or not (only for quads)
[in]	has_polys	Does the mesh has polygons, if not the interface mapping is not necessary
[in]	is_geom_bases	Flag to decide if build geometric mapping or normal bases, used to decide if the nodes are important
[out]	bases	List of basis functions per element
[out]	local_boundary	List of descriptor per element, indicating which edge of the canonical elements lie on the boundary of the mesh
[out]	poly_edge_to_data	Data for edges at the interface with a polygon (used to build the harmonics inside polygons)
[out]	mesh_nodes	Object for retrieving assigned node IDs.

Returns

The number of basis functions created.

Referenced by polyfem::mesh::Remesher::build_bases(), and polyfem::State::build_basis().

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quad_edge_local_nodes()

Eigen::VectorXi LagrangeBasis2d::quad_edge_local_nodes ( const int  q, const mesh::Mesh2D &  mesh, mesh::Navigation::Index  index  )

static

Definition at line 642 of file LagrangeBasis2d.cpp.

References polyfem::mesh::Navigation::Index::face, polyfem::mesh::Mesh::is_cube(), polyfem::mesh::Mesh2D::switch_vertex(), and polyfem::mesh::Navigation::Index::vertex.

Referenced by polyfem::basis::SplineBasis2d::build_bases().

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tri_edge_local_nodes()

Eigen::VectorXi LagrangeBasis2d::tri_edge_local_nodes ( const int  p, const mesh::Mesh2D &  mesh, mesh::Navigation::Index  index  )

static

Definition at line 611 of file LagrangeBasis2d.cpp.

References polyfem::mesh::Navigation::Index::face, polyfem::mesh::Mesh::is_simplex(), polyfem::mesh::Mesh2D::switch_vertex(), and polyfem::mesh::Navigation::Index::vertex.

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

• src/polyfem/basis/LagrangeBasis2d.hpp
• src/polyfem/basis/LagrangeBasis2d.cpp