Class providing a template for all objects (Vertex, Edge, Face, Cell) that appear in a Mesh. More...

Namespaces
namespace	MeshND

Classes
class	MeshND::Mesh< dimension >
	Class to describe a mesh. More...

class	MeshND::MeshObject< space_dim, object_dim >
	Generic class to describe a cell, face, edge or vertex. More...

Typedefs
template<size_t space_dim>
using	MeshND::Vertex = MeshObject< space_dim, 0 >
	A Vertex is a MeshObject with object_dim = 0.

template<size_t space_dim>
using	MeshND::Edge = MeshObject< space_dim, 1 >
	An Edge is a MeshObject with object_dim = 1.

template<size_t space_dim>
using	MeshND::Face = MeshObject< space_dim, space_dim - 1 >
	A Face is a MeshObject with object_dim = space_dim - 1.

template<size_t space_dim>
using	MeshND::Cell = MeshObject< space_dim, space_dim >
	A Cell is a MeshObject with object_dim = space_dim.

Functions
	MeshND::Mesh< dimension >::Mesh ()

	MeshND::Mesh< dimension >::~Mesh ()

void	MeshND::Mesh< dimension >::set_name (std::string name)
	set the name of the mesh

std::string	MeshND::Mesh< dimension >::get_name ()
	getter for the mesh name

double	MeshND::Mesh< dimension >::h_max () const
	< max diameter of cells

std::size_t	MeshND::Mesh< dimension >::dim () const
	dimension of the mesh

std::size_t	MeshND::Mesh< dimension >::n_vertices () const
	number of vertices in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_edges () const
	number of edges in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_faces () const
	number of faces in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_cells () const
	number of cells in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_elems (size_t d) const
	< number of d-cells in the mesh

std::size_t	MeshND::Mesh< dimension >::n_b_vertices () const
	number of boundary vertices in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_b_edges () const
	number of boundary edges in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_b_faces () const
	number of boundary faces in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_b_cells () const
	number of boundary cells in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_i_vertices () const
	number of internal vertices in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_i_edges () const
	number of internal edges in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_i_faces () const
	number of internal faces in the mesh.

std::size_t	MeshND::Mesh< dimension >::n_i_cells () const
	number of internal cells in the mesh.

std::vector< Vertex< dimension > * >	MeshND::Mesh< dimension >::get_vertices () const
	lists the vertices in the mesh.

std::vector< Edge< dimension > * >	MeshND::Mesh< dimension >::get_edges () const
	lists the edges in the mesh.

std::vector< Face< dimension > * >	MeshND::Mesh< dimension >::get_faces () const
	lists the faces in the mesh.

std::vector< Cell< dimension > * >	MeshND::Mesh< dimension >::get_cells () const
	lists the cells in the mesh.

std::vector< Vertex< dimension > * >	MeshND::Mesh< dimension >::get_b_vertices () const
	lists the boundary vertices in the mesh.

std::vector< Edge< dimension > * >	MeshND::Mesh< dimension >::get_b_edges () const
	lists the boundary edges in the mesh.

std::vector< Face< dimension > * >	MeshND::Mesh< dimension >::get_b_faces () const
	lists the boundary faces in the mesh.

std::vector< Cell< dimension > * >	MeshND::Mesh< dimension >::get_b_cells () const
	lists the boundary cells in the mesh.

std::vector< Vertex< dimension > * >	MeshND::Mesh< dimension >::get_i_vertices () const
	lists the internal vertices in the mesh.

std::vector< Edge< dimension > * >	MeshND::Mesh< dimension >::get_i_edges () const
	lists the internal edges in the mesh.

std::vector< Face< dimension > * >	MeshND::Mesh< dimension >::get_i_faces () const
	lists the internal faces in the mesh.

std::vector< Cell< dimension > * >	MeshND::Mesh< dimension >::get_i_cells () const
	lists the internal cells in the mesh.

void	MeshND::Mesh< dimension >::add_vertex (Vertex< dimension > *vertex)

void	MeshND::Mesh< dimension >::add_edge (Edge< dimension > *edge)

void	MeshND::Mesh< dimension >::add_face (Face< dimension > *face)

void	MeshND::Mesh< dimension >::add_cell (Cell< dimension > *cell)

void	MeshND::Mesh< dimension >::add_b_vertex (Vertex< dimension > *vertex)

void	MeshND::Mesh< dimension >::add_b_edge (Edge< dimension > *edge)

void	MeshND::Mesh< dimension >::add_b_face (Face< dimension > *face)

void	MeshND::Mesh< dimension >::add_b_cell (Cell< dimension > *cell)

void	MeshND::Mesh< dimension >::add_i_vertex (Vertex< dimension > *vertex)

void	MeshND::Mesh< dimension >::add_i_edge (Edge< dimension > *edge)

void	MeshND::Mesh< dimension >::add_i_face (Face< dimension > *face)

void	MeshND::Mesh< dimension >::add_i_cell (Cell< dimension > *cell)

Vertex< dimension > *	MeshND::Mesh< dimension >::vertex (std::size_t index) const
	get a constant pointer to a vertex using its global index

Edge< dimension > *	MeshND::Mesh< dimension >::edge (std::size_t index) const
	get a constant pointer to a edge using its global index

Face< dimension > *	MeshND::Mesh< dimension >::face (std::size_t index) const
	get a constant pointer to a face using its global index

Cell< dimension > *	MeshND::Mesh< dimension >::cell (std::size_t index) const
	get a constant pointer to a cell using its global index

Vertex< dimension > *	MeshND::Mesh< dimension >::b_vertex (std::size_t index) const
	get a constant pointer to a boundary vertex using an index

Edge< dimension > *	MeshND::Mesh< dimension >::b_edge (std::size_t index) const
	get a constant pointer to boundary a edge using an index

Face< dimension > *	MeshND::Mesh< dimension >::b_face (std::size_t index) const
	get a constant pointer to boundary a face using an index

Cell< dimension > *	MeshND::Mesh< dimension >::b_cell (std::size_t index) const
	get a constant pointer to boundary a cell using an index

Vertex< dimension > *	MeshND::Mesh< dimension >::i_vertex (std::size_t index) const
	get a constant pointer to an internal vertex using an index

Edge< dimension > *	MeshND::Mesh< dimension >::i_edge (std::size_t index) const
	get a constant pointer to an internal edge using an index

Face< dimension > *	MeshND::Mesh< dimension >::i_face (std::size_t index) const
	get a constant pointer to an internal face using an index

Cell< dimension > *	MeshND::Mesh< dimension >::i_cell (std::size_t index) const
	get a constant pointer to an internal cell using an index

std::vector< size_t >	MeshND::Mesh< dimension >::get_boundary (size_t d, size_t index) const

int	MeshND::Mesh< dimension >::boundary_orientation (size_t d, size_t i, size_t j) const

std::vector< double >	MeshND::Mesh< dimension >::regularity ()

void	MeshND::Mesh< dimension >::renum (const char B, const std::vector< size_t > new_to_old)

	MeshND::MeshObject< space_dim, object_dim >::MeshObject (size_t index, Simplices< space_dim, object_dim > simplices)
	Constructor for a MeshObject defined by its simplices.

	MeshND::MeshObject< space_dim, object_dim >::MeshObject (size_t index, Simplex< space_dim, object_dim > simplex)
	Constructor for a Simplex.

	MeshND::MeshObject< space_dim, object_dim >::MeshObject (size_t index, VectorRd< space_dim > vertex)
	Constructor for a MeshObject defined by a single coordinate (Vertex)

	MeshND::MeshObject< space_dim, object_dim >::MeshObject ()
	Null constructor.

	MeshND::MeshObject< space_dim, object_dim >::~MeshObject ()
	Destructor.

size_t	MeshND::MeshObject< space_dim, object_dim >::global_index () const
	Returns the global index of the MeshObject.

double	MeshND::MeshObject< space_dim, object_dim >::diam () const
	Returns the diameter of the MeshObject.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::center_mass () const
	Returns the center mass of the MeshObject.

double	MeshND::MeshObject< space_dim, object_dim >::measure () const

Simplices< space_dim, object_dim >	MeshND::MeshObject< space_dim, object_dim >::get_simplices () const
	Returns the simplices making up the MeshObject.

Simplices< space_dim, object_dim > &	MeshND::MeshObject< space_dim, object_dim >::set_simplices ()

void	MeshND::MeshObject< space_dim, object_dim >::set_global_index (const size_t idx)
	Set the global index.

bool	MeshND::MeshObject< space_dim, object_dim >::is_boundary () const
	Returns true if MeshObject is a boundary object, false otherwise.

void	MeshND::MeshObject< space_dim, object_dim >::set_boundary (bool val)
	Set the boundary value of the MeshObject.

bool	MeshND::MeshObject< space_dim, object_dim >::is_flat () const
	Returns true if MeshObject is flat (only relevant for faces), false otherwise.

std::vector< MeshObject< space_dim, 0 > * >	MeshND::MeshObject< space_dim, object_dim >::get_vertices () const
	Returns the vertices of the MeshObject.

std::vector< MeshObject< space_dim, 1 > * >	MeshND::MeshObject< space_dim, object_dim >::get_edges () const
	Returns the edges of the MeshObject.

std::vector< MeshObject< space_dim, space_dim - 1 > * >	MeshND::MeshObject< space_dim, object_dim >::get_faces () const
	Returns the faces of the MeshObject.

std::vector< MeshObject< space_dim, space_dim > * >	MeshND::MeshObject< space_dim, object_dim >::get_cells () const
	Return the cells of the MeshObject.

size_t	MeshND::MeshObject< space_dim, object_dim >::n_vertices () const
	Returns the number of vertices of the MeshObject.

size_t	MeshND::MeshObject< space_dim, object_dim >::n_edges () const
	Returns the number of edges of the MeshObject.

size_t	MeshND::MeshObject< space_dim, object_dim >::n_faces () const
	Returns the number of faces of the MeshObject.

size_t	MeshND::MeshObject< space_dim, object_dim >::n_cells () const
	Returns the number of cells of the MeshObject.

MeshObject< space_dim, 0 > *	MeshND::MeshObject< space_dim, object_dim >::vertex (const size_t i) const
	Returns the i-th vertex of the MeshObject.

MeshObject< space_dim, 1 > *	MeshND::MeshObject< space_dim, object_dim >::edge (const size_t i) const
	Returns the i-th edge of the MeshObject.

MeshObject< space_dim, space_dim - 1 > *	MeshND::MeshObject< space_dim, object_dim >::face (const size_t i) const
	Returns the i-th face of the MeshObject.

MeshObject< space_dim, space_dim > *	MeshND::MeshObject< space_dim, object_dim >::cell (const size_t i) const
	Returns the i-th cell of the MeshObject.

void	MeshND::MeshObject< space_dim, object_dim >::add_vertex (MeshObject< space_dim, 0 > *vertex)
	Add a vertex to the MeshObject.

void	MeshND::MeshObject< space_dim, object_dim >::add_edge (MeshObject< space_dim, 1 > *edge)
	Add an edge to the MeshObject.

void	MeshND::MeshObject< space_dim, object_dim >::add_face (MeshObject< space_dim, space_dim - 1 > *face)
	Add a face to the MeshObject.

void	MeshND::MeshObject< space_dim, object_dim >::add_cell (MeshObject< space_dim, space_dim > *cell)
	Add a cell to the MeshObject.

int	MeshND::MeshObject< space_dim, object_dim >::index_vertex (const MeshObject< space_dim, 0 > *vertex) const
	Returns the local index of a vertex.

int	MeshND::MeshObject< space_dim, object_dim >::index_edge (const MeshObject< space_dim, 1 > *edge) const
	Returns the local index of an edge.

int	MeshND::MeshObject< space_dim, object_dim >::index_face (const MeshObject< space_dim, space_dim - 1 > *face) const
	Returns the local index of a face.

int	MeshND::MeshObject< space_dim, object_dim >::index_cell (const MeshObject< space_dim, space_dim > *cell) const
	Returns the local index of a cell.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::coords () const
	Return the coordinates of a Vertex.

void	MeshND::MeshObject< space_dim, object_dim >::set_coords (const VectorRd< space_dim > &x)
	Set the coordinates of a Vertex.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::face_normal (const size_t face_index) const
	Return the outer normal of a Cell towards the Face located at face_index.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::edge_normal (const size_t edge_index) const
	Return the edge normal of a 2D object.

int	MeshND::MeshObject< space_dim, object_dim >::face_orientation (const size_t face_index) const
	Return the orientation of a Face.

int	MeshND::MeshObject< space_dim, object_dim >::edge_orientation (const size_t edge_index) const
	Return the orientation of a Edge (multiplied by edge_normal, gives the outer normal to the face)

int	MeshND::MeshObject< space_dim, object_dim >::induced_orientation (const size_t index) const
	Return 1 if the volume form on the boundary is positively oriented, -1 else.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::normal () const
	Return the normal of a Face.

VectorRd< space_dim >	MeshND::MeshObject< space_dim, object_dim >::tangent () const
	Return the tangent of a Edge.

Eigen::Matrix< double, space_dim, 2 >	MeshND::MeshObject< space_dim, object_dim >::face_tangent () const
	Return the tangent space of a Face.

void	MeshND::MeshObject< space_dim, object_dim >::construct_face_orientations ()
	Set the directions of the face normals of a cell.

template<size_t space_dim, size_t object_dim>
VectorRd< space_dim >	MeshND::simplex_center_mass (Simplex< space_dim, object_dim > simplex)
	Method to find the center mass of an arbitrary simplex in arbitrary space.

template<size_t space_dim, size_t object_dim>
double	MeshND::simplex_measure (Simplex< space_dim, object_dim > simplex)
	Method to find the Lebesgue measure of an arbitrary simplex in arbitrary space.

Detailed Description

Class providing a template for all objects (Vertex, Edge, Face, Cell) that appear in a Mesh.

Typedef Documentation

◆ Cell

template<size_t space_dim>

using MeshND::Cell = typedef MeshObject<space_dim, space_dim>

A Cell is a MeshObject with object_dim = space_dim.

◆ Edge

template<size_t space_dim>

using MeshND::Edge = typedef MeshObject<space_dim, 1>

An Edge is a MeshObject with object_dim = 1.

◆ Face

template<size_t space_dim>

using MeshND::Face = typedef MeshObject<space_dim, space_dim - 1>

A Face is a MeshObject with object_dim = space_dim - 1.

◆ Vertex

template<size_t space_dim>

using MeshND::Vertex = typedef MeshObject<space_dim, 0>

A Vertex is a MeshObject with object_dim = 0.

Function Documentation

◆ add_b_cell()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_b_cell ( Cell< dimension > * cell )

inline

Parameters

cell	adds a boundary cell to the mesh

◆ add_b_edge()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_b_edge ( Edge< dimension > * edge )

inline

Parameters

edge	adds a boundary edge to the mesh

◆ add_b_face()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_b_face ( Face< dimension > * face )

inline

Parameters

face	adds a boundary face to the mesh

◆ add_b_vertex()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_b_vertex ( Vertex< dimension > * vertex )

inline

Parameters

vertex adds a boundary vertex to the mesh

◆ add_cell() [1/2]

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_cell ( Cell< dimension > * cell )

inline

Parameters

cell	adds a cell to the mesh

◆ add_cell() [2/2]

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::add_cell ( MeshObject< space_dim, space_dim > * cell )

Add a cell to the MeshObject.

◆ add_edge() [1/2]

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_edge ( Edge< dimension > * edge )

inline

Parameters

edge	adds a edge to the mesh

◆ add_edge() [2/2]

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::add_edge ( MeshObject< space_dim, 1 > * edge )

Add an edge to the MeshObject.

◆ add_face() [1/2]

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_face ( Face< dimension > * face )

inline

Parameters

face	adds a face to the mesh

◆ add_face() [2/2]

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::add_face ( MeshObject< space_dim, space_dim - 1 > * face )

Add a face to the MeshObject.

◆ add_i_cell()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_i_cell ( Cell< dimension > * cell )

inline

Parameters

cell	adds an internal cell to the mesh

◆ add_i_edge()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_i_edge ( Edge< dimension > * edge )

inline

Parameters

edge	adds an internal edge to the mesh

◆ add_i_face()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_i_face ( Face< dimension > * face )

inline

Parameters

face	adds an internal face to the mesh

◆ add_i_vertex()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_i_vertex ( Vertex< dimension > * vertex )

inline

Parameters

vertex adds an internal vertex to the mesh

◆ add_vertex() [1/2]

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::add_vertex ( MeshObject< space_dim, 0 > * vertex )

Add a vertex to the MeshObject.

◆ add_vertex() [2/2]

template<std::size_t dimension>

void MeshND::Mesh< dimension >::add_vertex ( Vertex< dimension > * vertex )

inline

Parameters

vertex adds a vertex to the mesh

◆ b_cell()

template<std::size_t dimension>

Cell< dimension > * MeshND::Mesh< dimension >::b_cell ( std::size_t index ) const

inline

get a constant pointer to boundary a cell using an index

◆ b_edge()

template<std::size_t dimension>

Edge< dimension > * MeshND::Mesh< dimension >::b_edge ( std::size_t index ) const

inline

get a constant pointer to boundary a edge using an index

◆ b_face()

template<std::size_t dimension>

Face< dimension > * MeshND::Mesh< dimension >::b_face ( std::size_t index ) const

inline

get a constant pointer to boundary a face using an index

◆ b_vertex()

template<std::size_t dimension>

Vertex< dimension > * MeshND::Mesh< dimension >::b_vertex ( std::size_t index ) const

inline

get a constant pointer to a boundary vertex using an index

◆ boundary_orientation()

template<std::size_t dimension>

int MeshND::Mesh< dimension >::boundary_orientation	(	size_t	d,
		size_t	i,
		size_t	j
	)		const

inline

◆ cell() [1/2]

template<size_t space_dim, size_t object_dim>

MeshObject< space_dim, space_dim > * MeshND::MeshObject< space_dim, object_dim >::cell ( const size_t i ) const

Returns the i-th cell of the MeshObject.

◆ cell() [2/2]

template<std::size_t dimension>

Cell< dimension > * MeshND::Mesh< dimension >::cell ( std::size_t index ) const

inline

get a constant pointer to a cell using its global index

◆ center_mass()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::center_mass ( ) const

inline

Returns the center mass of the MeshObject.

Returns the Lebesgue measure of the MeshObject

◆ construct_face_orientations()

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::construct_face_orientations ( )

Set the directions of the face normals of a cell.

◆ coords()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::coords ( ) const

Return the coordinates of a Vertex.

◆ diam()

template<size_t space_dim, size_t object_dim>

double MeshND::MeshObject< space_dim, object_dim >::diam ( ) const

inline

Returns the diameter of the MeshObject.

◆ dim()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::dim ( ) const

inline

dimension of the mesh

◆ edge() [1/2]

template<size_t space_dim, size_t object_dim>

MeshObject< space_dim, 1 > * MeshND::MeshObject< space_dim, object_dim >::edge ( const size_t i ) const

Returns the i-th edge of the MeshObject.

◆ edge() [2/2]

template<std::size_t dimension>

Edge< dimension > * MeshND::Mesh< dimension >::edge ( std::size_t index ) const

inline

get a constant pointer to a edge using its global index

◆ edge_normal()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::edge_normal ( const size_t edge_index ) const

Return the edge normal of a 2D object.

◆ edge_orientation()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::edge_orientation ( const size_t edge_index ) const

Return the orientation of a Edge (multiplied by edge_normal, gives the outer normal to the face)

◆ face() [1/2]

template<size_t space_dim, size_t object_dim>

MeshObject< space_dim, space_dim - 1 > * MeshND::MeshObject< space_dim, object_dim >::face ( const size_t i ) const

Returns the i-th face of the MeshObject.

◆ face() [2/2]

template<std::size_t dimension>

Face< dimension > * MeshND::Mesh< dimension >::face ( std::size_t index ) const

inline

get a constant pointer to a face using its global index

◆ face_normal()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::face_normal ( const size_t face_index ) const

Return the outer normal of a Cell towards the Face located at face_index.

◆ face_orientation()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::face_orientation ( const size_t face_index ) const

Return the orientation of a Face.

◆ face_tangent()

template<size_t space_dim, size_t object_dim>

Eigen::Matrix< double, space_dim, 2 > MeshND::MeshObject< space_dim, object_dim >::face_tangent ( ) const

Return the tangent space of a Face.

◆ get_b_cells()

template<std::size_t dimension>

std::vector< Cell< dimension > * > MeshND::Mesh< dimension >::get_b_cells ( ) const

inline

lists the boundary cells in the mesh.

◆ get_b_edges()

template<std::size_t dimension>

std::vector< Edge< dimension > * > MeshND::Mesh< dimension >::get_b_edges ( ) const

inline

lists the boundary edges in the mesh.

◆ get_b_faces()

template<std::size_t dimension>

std::vector< Face< dimension > * > MeshND::Mesh< dimension >::get_b_faces ( ) const

inline

lists the boundary faces in the mesh.

◆ get_b_vertices()

template<std::size_t dimension>

std::vector< Vertex< dimension > * > MeshND::Mesh< dimension >::get_b_vertices ( ) const

inline

lists the boundary vertices in the mesh.

◆ get_boundary()

template<std::size_t dimension>

std::vector< size_t > MeshND::Mesh< dimension >::get_boundary	(	size_t	d,
		size_t	index
	)		const

inline

◆ get_cells() [1/2]

template<std::size_t dimension>

std::vector< Cell< dimension > * > MeshND::Mesh< dimension >::get_cells ( ) const

inline

lists the cells in the mesh.

◆ get_cells() [2/2]

template<size_t space_dim, size_t object_dim>

std::vector< MeshObject< space_dim, space_dim > * > MeshND::MeshObject< space_dim, object_dim >::get_cells ( ) const

inline

Return the cells of the MeshObject.

◆ get_edges() [1/2]

template<std::size_t dimension>

std::vector< Edge< dimension > * > MeshND::Mesh< dimension >::get_edges ( ) const

inline

lists the edges in the mesh.

◆ get_edges() [2/2]

template<size_t space_dim, size_t object_dim>

std::vector< MeshObject< space_dim, 1 > * > MeshND::MeshObject< space_dim, object_dim >::get_edges ( ) const

inline

Returns the edges of the MeshObject.

◆ get_faces() [1/2]

template<std::size_t dimension>

std::vector< Face< dimension > * > MeshND::Mesh< dimension >::get_faces ( ) const

inline

lists the faces in the mesh.

◆ get_faces() [2/2]

template<size_t space_dim, size_t object_dim>

std::vector< MeshObject< space_dim, space_dim - 1 > * > MeshND::MeshObject< space_dim, object_dim >::get_faces ( ) const

inline

Returns the faces of the MeshObject.

◆ get_i_cells()

template<std::size_t dimension>

std::vector< Cell< dimension > * > MeshND::Mesh< dimension >::get_i_cells ( ) const

inline

lists the internal cells in the mesh.

◆ get_i_edges()

template<std::size_t dimension>

std::vector< Edge< dimension > * > MeshND::Mesh< dimension >::get_i_edges ( ) const

inline

lists the internal edges in the mesh.

◆ get_i_faces()

template<std::size_t dimension>

std::vector< Face< dimension > * > MeshND::Mesh< dimension >::get_i_faces ( ) const

inline

lists the internal faces in the mesh.

◆ get_i_vertices()

template<std::size_t dimension>

std::vector< Vertex< dimension > * > MeshND::Mesh< dimension >::get_i_vertices ( ) const

inline

lists the internal vertices in the mesh.

◆ get_name()

template<std::size_t dimension>

std::string MeshND::Mesh< dimension >::get_name ( )

inline

getter for the mesh name

◆ get_simplices()

template<size_t space_dim, size_t object_dim>

Simplices< space_dim, object_dim > MeshND::MeshObject< space_dim, object_dim >::get_simplices ( ) const

inline

Returns the simplices making up the MeshObject.

◆ get_vertices() [1/2]

template<std::size_t dimension>

std::vector< Vertex< dimension > * > MeshND::Mesh< dimension >::get_vertices ( ) const

inline

lists the vertices in the mesh.

◆ get_vertices() [2/2]

template<size_t space_dim, size_t object_dim>

std::vector< MeshObject< space_dim, 0 > * > MeshND::MeshObject< space_dim, object_dim >::get_vertices ( ) const

inline

Returns the vertices of the MeshObject.

◆ global_index()

template<size_t space_dim, size_t object_dim>

size_t MeshND::MeshObject< space_dim, object_dim >::global_index ( ) const

inline

Returns the global index of the MeshObject.

◆ h_max()

template<std::size_t dimension>

double MeshND::Mesh< dimension >::h_max ( ) const

inline

< max diameter of cells

◆ i_cell()

template<std::size_t dimension>

Cell< dimension > * MeshND::Mesh< dimension >::i_cell ( std::size_t index ) const

inline

get a constant pointer to an internal cell using an index

◆ i_edge()

template<std::size_t dimension>

Edge< dimension > * MeshND::Mesh< dimension >::i_edge ( std::size_t index ) const

inline

get a constant pointer to an internal edge using an index

◆ i_face()

template<std::size_t dimension>

Face< dimension > * MeshND::Mesh< dimension >::i_face ( std::size_t index ) const

inline

get a constant pointer to an internal face using an index

◆ i_vertex()

template<std::size_t dimension>

Vertex< dimension > * MeshND::Mesh< dimension >::i_vertex ( std::size_t index ) const

inline

get a constant pointer to an internal vertex using an index

◆ index_cell()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::index_cell ( const MeshObject< space_dim, space_dim > * cell ) const

Returns the local index of a cell.

◆ index_edge()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::index_edge ( const MeshObject< space_dim, 1 > * edge ) const

Returns the local index of an edge.

◆ index_face()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::index_face ( const MeshObject< space_dim, space_dim - 1 > * face ) const

Returns the local index of a face.

◆ index_vertex()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::index_vertex ( const MeshObject< space_dim, 0 > * vertex ) const

Returns the local index of a vertex.

◆ induced_orientation()

template<size_t space_dim, size_t object_dim>

int MeshND::MeshObject< space_dim, object_dim >::induced_orientation ( const size_t index ) const

Return 1 if the volume form on the boundary is positively oriented, -1 else.

◆ is_boundary()

template<size_t space_dim, size_t object_dim>

bool MeshND::MeshObject< space_dim, object_dim >::is_boundary ( ) const

inline

Returns true if MeshObject is a boundary object, false otherwise.

◆ is_flat()

template<size_t space_dim, size_t object_dim>

bool MeshND::MeshObject< space_dim, object_dim >::is_flat ( ) const

inline

Returns true if MeshObject is flat (only relevant for faces), false otherwise.

◆ measure()

template<size_t space_dim, size_t object_dim>

double MeshND::MeshObject< space_dim, object_dim >::measure ( ) const

inline

◆ Mesh()

template<std::size_t dimension>

MeshND::Mesh< dimension >::Mesh ( )

inline

◆ MeshObject() [1/4]

template<size_t space_dim, size_t object_dim>

MeshND::MeshObject< space_dim, object_dim >::MeshObject ( )

Null constructor.

◆ MeshObject() [2/4]

template<size_t space_dim, size_t object_dim>

MeshND::MeshObject< space_dim, object_dim >::MeshObject	(	size_t	index,
		Simplex< space_dim, object_dim >	simplex
	)

Constructor for a Simplex.

◆ MeshObject() [3/4]

template<size_t space_dim, size_t object_dim>

MeshND::MeshObject< space_dim, object_dim >::MeshObject	(	size_t	index,
		Simplices< space_dim, object_dim >	simplices
	)

Constructor for a MeshObject defined by its simplices.

◆ MeshObject() [4/4]

template<size_t space_dim, size_t object_dim>

MeshND::MeshObject< space_dim, object_dim >::MeshObject	(	size_t	index,
		VectorRd< space_dim >	vertex
	)

Constructor for a MeshObject defined by a single coordinate (Vertex)

◆ n_b_cells()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_b_cells ( ) const

inline

number of boundary cells in the mesh.

◆ n_b_edges()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_b_edges ( ) const

inline

number of boundary edges in the mesh.

◆ n_b_faces()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_b_faces ( ) const

inline

number of boundary faces in the mesh.

◆ n_b_vertices()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_b_vertices ( ) const

inline

number of boundary vertices in the mesh.

◆ n_cells() [1/2]

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_cells ( ) const

inline

number of cells in the mesh.

◆ n_cells() [2/2]

template<size_t space_dim, size_t object_dim>

size_t MeshND::MeshObject< space_dim, object_dim >::n_cells ( ) const

inline

Returns the number of cells of the MeshObject.

◆ n_edges() [1/2]

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_edges ( ) const

inline

number of edges in the mesh.

◆ n_edges() [2/2]

template<size_t space_dim, size_t object_dim>

size_t MeshND::MeshObject< space_dim, object_dim >::n_edges ( ) const

inline

Returns the number of edges of the MeshObject.

◆ n_elems()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_elems ( size_t d ) const

inline

< number of d-cells in the mesh

◆ n_faces() [1/2]

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_faces ( ) const

inline

number of faces in the mesh.

◆ n_faces() [2/2]

template<size_t space_dim, size_t object_dim>

size_t MeshND::MeshObject< space_dim, object_dim >::n_faces ( ) const

inline

Returns the number of faces of the MeshObject.

◆ n_i_cells()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_i_cells ( ) const

inline

number of internal cells in the mesh.

◆ n_i_edges()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_i_edges ( ) const

inline

number of internal edges in the mesh.

◆ n_i_faces()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_i_faces ( ) const

inline

number of internal faces in the mesh.

◆ n_i_vertices()

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_i_vertices ( ) const

inline

number of internal vertices in the mesh.

◆ n_vertices() [1/2]

template<std::size_t dimension>

std::size_t MeshND::Mesh< dimension >::n_vertices ( ) const

inline

number of vertices in the mesh.

◆ n_vertices() [2/2]

template<size_t space_dim, size_t object_dim>

size_t MeshND::MeshObject< space_dim, object_dim >::n_vertices ( ) const

inline

Returns the number of vertices of the MeshObject.

◆ normal()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::normal ( ) const

Return the normal of a Face.

◆ regularity()

template<std::size_t dimension>

std::vector< double > MeshND::Mesh< dimension >::regularity ( )

inline

Regularity factor = 1st component: maximum of

diameter of cell / (measure of cell)^{1/dim}
diameter of cell / diameter of face [for each face of the cell]

2nd component: evaluation of max of ratio "diam of cell / radius ball inscribed in cell"

◆ renum()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::renum	(	const char	B,
		const std::vector< size_t >	new_to_old
	)

inline

◆ set_boundary()

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::set_boundary ( bool val )

inline

Set the boundary value of the MeshObject.

◆ set_coords()

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::set_coords ( const VectorRd< space_dim > & x )

Set the coordinates of a Vertex.

◆ set_global_index()

template<size_t space_dim, size_t object_dim>

void MeshND::MeshObject< space_dim, object_dim >::set_global_index ( const size_t idx )

inline

Set the global index.

◆ set_name()

template<std::size_t dimension>

void MeshND::Mesh< dimension >::set_name ( std::string name )

inline

set the name of the mesh

◆ set_simplices()

template<size_t space_dim, size_t object_dim>

Simplices< space_dim, object_dim > & MeshND::MeshObject< space_dim, object_dim >::set_simplices ( )

inline

◆ simplex_center_mass()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::simplex_center_mass ( Simplex< space_dim, object_dim > simplex )

Method to find the center mass of an arbitrary simplex in arbitrary space.

◆ simplex_measure()

template<size_t space_dim, size_t object_dim>

double MeshND::simplex_measure ( Simplex< space_dim, object_dim > simplex )

Method to find the Lebesgue measure of an arbitrary simplex in arbitrary space.

◆ tangent()

template<size_t space_dim, size_t object_dim>

VectorRd< space_dim > MeshND::MeshObject< space_dim, object_dim >::tangent ( ) const

Return the tangent of a Edge.

◆ vertex() [1/2]

template<size_t space_dim, size_t object_dim>

MeshObject< space_dim, 0 > * MeshND::MeshObject< space_dim, object_dim >::vertex ( const size_t i ) const

Returns the i-th vertex of the MeshObject.

◆ vertex() [2/2]

template<std::size_t dimension>

Vertex< dimension > * MeshND::Mesh< dimension >::vertex ( std::size_t index ) const

inline

get a constant pointer to a vertex using its global index

◆ ~Mesh()

template<std::size_t dimension>

MeshND::Mesh< dimension >::~Mesh ( )

inline

◆ ~MeshObject()

template<size_t space_dim, size_t object_dim>

MeshND::MeshObject< space_dim, object_dim >::~MeshObject ( )

Destructor.

Namespaces

Classes

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ Cell

◆ Edge

◆ Face

◆ Vertex

Function Documentation

◆ add_b_cell()

◆ add_b_edge()

◆ add_b_face()

◆ add_b_vertex()

◆ add_cell() [1/2]

◆ add_cell() [2/2]

◆ add_edge() [1/2]

◆ add_edge() [2/2]

◆ add_face() [1/2]

◆ add_face() [2/2]

◆ add_i_cell()

◆ add_i_edge()

◆ add_i_face()

◆ add_i_vertex()

◆ add_vertex() [1/2]

◆ add_vertex() [2/2]

◆ b_cell()

◆ b_edge()

◆ b_face()

◆ b_vertex()

◆ boundary_orientation()

◆ cell() [1/2]

◆ cell() [2/2]

◆ center_mass()

◆ construct_face_orientations()

◆ coords()

◆ diam()

◆ dim()

◆ edge() [1/2]

◆ edge() [2/2]

◆ edge_normal()

◆ edge_orientation()

◆ face() [1/2]

◆ face() [2/2]

◆ face_normal()

◆ face_orientation()

◆ face_tangent()

◆ get_b_cells()

◆ get_b_edges()

◆ get_b_faces()

◆ get_b_vertices()

◆ get_boundary()

◆ get_cells() [1/2]

◆ get_cells() [2/2]

◆ get_edges() [1/2]

◆ get_edges() [2/2]

◆ get_faces() [1/2]

◆ get_faces() [2/2]

◆ get_i_cells()

◆ get_i_edges()

◆ get_i_faces()

◆ get_i_vertices()

◆ get_name()

◆ get_simplices()

◆ get_vertices() [1/2]

◆ get_vertices() [2/2]

◆ global_index()

◆ h_max()

◆ i_cell()

◆ i_edge()

◆ i_face()

◆ i_vertex()

◆ index_cell()

◆ index_edge()

◆ index_face()

◆ index_vertex()

◆ induced_orientation()

◆ is_boundary()

◆ is_flat()