Classes to construct and describe a 2D mesh. More...

Classes
class	Mesh2D::Mesh

class	Mesh2D::MeshBuilder
	The MeshBuilder class provides build tools to create a full mesh with all connectivities. More...

class	Mesh2D::MeshReader
	The MeshReader class provides functions to read a typ2 or GMesh file. More...

class	Mesh2D::Polytope< object_dim >
	A Vertex is a Polytope with object_dim = 0. More...

Typedefs
typedef std::function< std::array< double, 2 >(const std::array< double, 2 > &)>	Mesh2D::MeshBuilder::TransformationType

using	Mesh2D::Vertex = Polytope< 0 >
	An Edge is a Polytope with object_dim = 1.

using	Mesh2D::Edge = Polytope< 1 >
	A Face is a Polytope with object_dim = DIMENSION - 1.

using	Mesh2D::Face = Polytope< DIMENSION - 1 >
	A Cell is a Polytope with object_dim = DIMENSION.

using	Mesh2D::Cell = Polytope< DIMENSION >

Functions
	Mesh2D::Mesh::Mesh ()

	Mesh2D::Mesh::~Mesh ()

void	Mesh2D::Mesh::set_name (std::string name)
	set the name of the mesh

std::string	Mesh2D::Mesh::get_name ()
	getter for the mesh name

double	Mesh2D::Mesh::h_max () const
	< max diameter of cells

std::size_t	Mesh2D::Mesh::dim () const
	dimension of the mesh

std::size_t	Mesh2D::Mesh::n_vertices () const
	number of vertices in the mesh.

std::size_t	Mesh2D::Mesh::n_edges () const
	number of edges in the mesh.

std::size_t	Mesh2D::Mesh::n_faces () const
	number of faces in the mesh.

std::size_t	Mesh2D::Mesh::n_cells () const
	number of cells in the mesh.

std::size_t	Mesh2D::Mesh::n_b_vertices () const
	number of boundary vertices in the mesh.

std::size_t	Mesh2D::Mesh::n_b_edges () const
	number of boundary edges in the mesh.

std::size_t	Mesh2D::Mesh::n_b_faces () const
	number of boundary faces in the mesh.

std::size_t	Mesh2D::Mesh::n_b_cells () const
	number of boundary cells in the mesh.

std::size_t	Mesh2D::Mesh::n_i_vertices () const
	number of internal vertices in the mesh.

std::size_t	Mesh2D::Mesh::n_i_edges () const
	number of internal edges in the mesh.

std::size_t	Mesh2D::Mesh::n_i_faces () const
	number of internal faces in the mesh.

std::size_t	Mesh2D::Mesh::n_i_cells () const
	number of internal cells in the mesh.

std::vector< Vertex * >	Mesh2D::Mesh::get_vertices () const
	lists the vertices in the mesh.

std::vector< Edge * >	Mesh2D::Mesh::get_edges () const
	lists the edges in the mesh.

std::vector< Face * >	Mesh2D::Mesh::get_faces () const
	lists the faces in the mesh.

std::vector< Cell * >	Mesh2D::Mesh::get_cells () const
	lists the cells in the mesh.

std::vector< Vertex * >	Mesh2D::Mesh::get_b_vertices () const
	lists the boundary vertices in the mesh.

std::vector< Edge * >	Mesh2D::Mesh::get_b_edges () const
	lists the boundary edges in the mesh.

std::vector< Face * >	Mesh2D::Mesh::get_b_faces () const
	lists the boundary faces in the mesh.

std::vector< Cell * >	Mesh2D::Mesh::get_b_cells () const
	lists the boundary cells in the mesh.

std::vector< Vertex * >	Mesh2D::Mesh::get_i_vertices () const
	lists the internal vertices in the mesh.

std::vector< Edge * >	Mesh2D::Mesh::get_i_edges () const
	lists the internal edges in the mesh.

std::vector< Face * >	Mesh2D::Mesh::get_i_faces () const
	lists the internal faces in the mesh.

std::vector< Cell * >	Mesh2D::Mesh::get_i_cells () const
	lists the internal cells in the mesh.

void	Mesh2D::Mesh::add_vertex (Vertex *vertex)

void	Mesh2D::Mesh::add_edge (Edge *edge)

void	Mesh2D::Mesh::add_face (Face *face)

void	Mesh2D::Mesh::add_cell (Cell *cell)

void	Mesh2D::Mesh::add_b_vertex (Vertex *vertex)

void	Mesh2D::Mesh::add_b_edge (Edge *edge)

void	Mesh2D::Mesh::add_b_face (Face *face)

void	Mesh2D::Mesh::add_b_cell (Cell *cell)

void	Mesh2D::Mesh::add_i_vertex (Vertex *vertex)

void	Mesh2D::Mesh::add_i_edge (Edge *edge)

void	Mesh2D::Mesh::add_i_face (Face *face)

void	Mesh2D::Mesh::add_i_cell (Cell *cell)

Vertex *	Mesh2D::Mesh::vertex (std::size_t index) const
	get a constant pointer to a vertex using its global index

Edge *	Mesh2D::Mesh::edge (std::size_t index) const
	get a constant pointer to a edge using its global index

Face *	Mesh2D::Mesh::face (std::size_t index) const
	get a constant pointer to a face using its global index

Cell *	Mesh2D::Mesh::cell (std::size_t index) const
	get a constant pointer to a cell using its global index

Vertex *	Mesh2D::Mesh::b_vertex (std::size_t index) const
	get a constant pointer to a boundary vertex using an index

Edge *	Mesh2D::Mesh::b_edge (std::size_t index) const
	get a constant pointer to boundary a edge using an index

Face *	Mesh2D::Mesh::b_face (std::size_t index) const
	get a constant pointer to boundary a face using an index

Cell *	Mesh2D::Mesh::b_cell (std::size_t index) const
	get a constant pointer to boundary a cell using an index

Vertex *	Mesh2D::Mesh::i_vertex (std::size_t index) const
	get a constant pointer to an internal vertex using an index

Edge *	Mesh2D::Mesh::i_edge (std::size_t index) const
	get a constant pointer to an internal edge using an index

Face *	Mesh2D::Mesh::i_face (std::size_t index) const
	get a constant pointer to an internal face using an index

Cell *	Mesh2D::Mesh::i_cell (std::size_t index) const
	get a constant pointer to an internal cell using an index

std::vector< double >	Mesh2D::Mesh::regularity ()

void	Mesh2D::Mesh::renum (const char B, const std::vector< size_t > new_to_old)

size_t	Mesh2D::Mesh::find_cell (const VectorRd x) const
	< returns the index of the cell containing the point x

void	Mesh2D::Mesh::plot_simplices (std::ofstream *out)

void	Mesh2D::Mesh::plot_mesh (std::ofstream *out)

	Mesh2D::MeshBuilder::MeshBuilder ()

	Mesh2D::MeshBuilder::MeshBuilder (const std::string mesh_file)

std::unique_ptr< Mesh >	Mesh2D::MeshBuilder::build_the_mesh (const TransformationType &transformation=[](const std::array< double, 2 > &x) { return x;})

	Mesh2D::MeshReader::MeshReader (std::string file_name)

	Mesh2D::MeshReader::~MeshReader ()

void	Mesh2D::MeshReader::read_file (std::vector< std::array< double, 2 > > &vertices, std::vector< std::vector< size_t > > &cells)

void	Mesh2D::MeshReader::read_typ2file (std::vector< std::array< double, 2 > > &vertices, std::vector< std::vector< size_t > > &cells)

	Mesh2D::Polytope< object_dim >::Polytope (size_t index, Simplices< object_dim > simplices)
	< Constructor for a Polytope defined by its simplices

	Mesh2D::Polytope< object_dim >::Polytope (size_t index, Simplex< object_dim > simplex)
	Constructor for a Polytope defined by a single coordinate (Vertex)

	Mesh2D::Polytope< object_dim >::Polytope (size_t index, VectorRd vertex)
	Null constructor.

	Mesh2D::Polytope< object_dim >::Polytope ()
	Destructor.

	Mesh2D::Polytope< object_dim >::~Polytope ()

size_t	Mesh2D::Polytope< object_dim >::global_index () const
	Return the global index of the Polytope.

double	Mesh2D::Polytope< object_dim >::diam () const
	Return the diameter of the Polytope.

VectorRd	Mesh2D::Polytope< object_dim >::center_mass () const
	Return the center mass of the Polytope.

double	Mesh2D::Polytope< object_dim >::measure () const
	Return the Lebesgue measure of the Polytope.

Simplices< object_dim >	Mesh2D::Polytope< object_dim >::get_simplices () const
	Return the simplices making up the Polytope.

void	Mesh2D::Polytope< object_dim >::set_global_index (const size_t idx)
	Set the global index.

bool	Mesh2D::Polytope< object_dim >::is_boundary () const
	Return true if Polytope is a boundary object, false otherwise.

void	Mesh2D::Polytope< object_dim >::set_boundary (bool val)
	Set the boundary value of the Polytope.

std::vector< Polytope< 0 > * >	Mesh2D::Polytope< object_dim >::get_vertices () const
	Return the vertices of the Polytope.

std::vector< Polytope< 1 > * >	Mesh2D::Polytope< object_dim >::get_edges () const
	Return the edges of the Polytope.

std::vector< Polytope< DIMENSION - 1 > * >	Mesh2D::Polytope< object_dim >::get_faces () const
	Return the faces of the Polytope.

std::vector< Polytope< DIMENSION > * >	Mesh2D::Polytope< object_dim >::get_cells () const
	Return the cells of the Polytope.

size_t	Mesh2D::Polytope< object_dim >::n_vertices () const
	Return the number of vertices of the Polytope.

size_t	Mesh2D::Polytope< object_dim >::n_edges () const
	Return the number of edges of the Polytope.

size_t	Mesh2D::Polytope< object_dim >::n_faces () const
	Return the number of faces of the Polytope.

size_t	Mesh2D::Polytope< object_dim >::n_cells () const
	Return the number of cells of the Polytope.

Polytope< 0 > *	Mesh2D::Polytope< object_dim >::vertex (const size_t i) const
	Return the i-th vertex of the Polytope.

Polytope< 1 > *	Mesh2D::Polytope< object_dim >::edge (const size_t i) const
	Return the i-th edge of the Polytope.

Polytope< DIMENSION - 1 > *	Mesh2D::Polytope< object_dim >::face (const size_t i) const
	Return the i-th face of the Polytope.

Polytope< DIMENSION > *	Mesh2D::Polytope< object_dim >::cell (const size_t i) const
	Return the i-th cell of the Polytope.

void	Mesh2D::Polytope< object_dim >::add_vertex (Polytope< 0 > *vertex)
	Add a vertex to the Polytope.

void	Mesh2D::Polytope< object_dim >::add_edge (Polytope< 1 > *edge)
	Add an edge to the Polytope.

void	Mesh2D::Polytope< object_dim >::add_face (Polytope< DIMENSION - 1 > *face)
	Add a face to the Polytope.

void	Mesh2D::Polytope< object_dim >::add_cell (Polytope< DIMENSION > *cell)
	Add a cell to the Polytope.

int	Mesh2D::Polytope< object_dim >::index_vertex (const Polytope< 0 > *vertex) const
	Returns the local index of a vertex.

int	Mesh2D::Polytope< object_dim >::index_edge (const Polytope< 1 > *edge) const
	Returns the local index of an edge.

int	Mesh2D::Polytope< object_dim >::index_face (const Polytope< DIMENSION - 1 > *face) const
	Returns the local index of a face.

int	Mesh2D::Polytope< object_dim >::index_cell (const Polytope< DIMENSION > *cell) const
	Returns the local index of a cell.

VectorRd	Mesh2D::Polytope< object_dim >::coords () const
	Return the coordinates of a Vertex.

VectorRd	Mesh2D::Polytope< 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	Mesh2D::Polytope< object_dim >::edge_normal (const size_t edge_index) const
	Return the edge normal of a 2D object.

int	Mesh2D::Polytope< object_dim >::face_orientation (const size_t face_index) const
	Return the orientation of a Face.

int	Mesh2D::Polytope< object_dim >::edge_orientation (const size_t edge_index) const
	Return the orientation of a Edge.

int	Mesh2D::Polytope< object_dim >::vertex_orientation (const size_t vertex_index) const
	Return the orientation of a Vertex.

VectorRd	Mesh2D::Polytope< object_dim >::normal () const
	Return the normal of a Face.

VectorRd	Mesh2D::Polytope< object_dim >::tangent () const
	Return the tangent of a Edge.

void	Mesh2D::Polytope< object_dim >::construct_face_normals ()
	Set the directions of the face normals of a cell.

void	Mesh2D::Polytope< object_dim >::plot_simplices (std::ofstream *out) const
	Plot the simplices to out.

void	Mesh2D::Polytope< object_dim >::plot (std::ofstream *out) const
	Plot the polytope to out.

template<size_t object_dim>
VectorRd	Mesh2D::simplex_center_mass (Simplex< object_dim > simplex)
	Method to find the Lebesgue measure of an arbitrary simplex in arbitrary space.

template<size_t object_dim>
double	Mesh2D::simplex_measure (Simplex< object_dim > simplex)

Detailed Description

Classes to construct and describe a 2D mesh.

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

Typedef Documentation

◆ Cell

using Mesh2D::Cell = typedef Polytope<DIMENSION>

◆ Edge

using Mesh2D::Edge = typedef Polytope<1>

A Face is a Polytope with object_dim = DIMENSION - 1.

◆ Face

using Mesh2D::Face = typedef Polytope<DIMENSION - 1>

A Cell is a Polytope with object_dim = DIMENSION.

◆ TransformationType

typedef std::function<std::array<double, 2>(const std::array<double, 2> &)> Mesh2D::MeshBuilder::TransformationType

◆ Vertex

using Mesh2D::Vertex = typedef Polytope<0>

An Edge is a Polytope with object_dim = 1.

Function Documentation

◆ add_b_cell()

void Mesh2D::Mesh::add_b_cell ( Cell * cell )

inline

Parameters

cell	adds a boundary cell to the mesh

◆ add_b_edge()

void Mesh2D::Mesh::add_b_edge ( Edge * edge )

inline

Parameters

edge	adds a boundary edge to the mesh

◆ add_b_face()

void Mesh2D::Mesh::add_b_face ( Face * face )

inline

Parameters

face	adds a boundary face to the mesh

◆ add_b_vertex()

void Mesh2D::Mesh::add_b_vertex ( Vertex * vertex )

inline

Parameters

vertex adds a boundary vertex to the mesh

◆ add_cell() [1/2]

void Mesh2D::Mesh::add_cell ( Cell * cell )

inline

Parameters

cell	adds a cell to the mesh

◆ add_cell() [2/2]

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::add_cell ( Polytope< DIMENSION > * cell )

Add a cell to the Polytope.

◆ add_edge() [1/2]

void Mesh2D::Mesh::add_edge ( Edge * edge )

inline

Parameters

edge	adds a edge to the mesh

◆ add_edge() [2/2]

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::add_edge ( Polytope< 1 > * edge )

Add an edge to the Polytope.

◆ add_face() [1/2]

void Mesh2D::Mesh::add_face ( Face * face )

inline

Parameters

face	adds a face to the mesh

◆ add_face() [2/2]

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::add_face ( Polytope< DIMENSION - 1 > * face )

Add a face to the Polytope.

◆ add_i_cell()

void Mesh2D::Mesh::add_i_cell ( Cell * cell )

inline

Parameters

cell	adds an internal cell to the mesh

◆ add_i_edge()

void Mesh2D::Mesh::add_i_edge ( Edge * edge )

inline

Parameters

edge	adds an internal edge to the mesh

◆ add_i_face()

void Mesh2D::Mesh::add_i_face ( Face * face )

inline

Parameters

face	adds an internal face to the mesh

◆ add_i_vertex()

void Mesh2D::Mesh::add_i_vertex ( Vertex * vertex )

inline

Parameters

vertex adds an internal vertex to the mesh

◆ add_vertex() [1/2]

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::add_vertex ( Polytope< 0 > * vertex )

Add a vertex to the Polytope.

◆ add_vertex() [2/2]

void Mesh2D::Mesh::add_vertex ( Vertex * vertex )

inline

Parameters

vertex adds a vertex to the mesh

◆ b_cell()

Cell * Mesh2D::Mesh::b_cell ( std::size_t index ) const

inline

get a constant pointer to boundary a cell using an index

◆ b_edge()

Edge * Mesh2D::Mesh::b_edge ( std::size_t index ) const

inline

get a constant pointer to boundary a edge using an index

◆ b_face()

Face * Mesh2D::Mesh::b_face ( std::size_t index ) const

inline

get a constant pointer to boundary a face using an index

◆ b_vertex()

Vertex * Mesh2D::Mesh::b_vertex ( std::size_t index ) const

inline

get a constant pointer to a boundary vertex using an index

◆ build_the_mesh()

std::unique_ptr< Mesh > Mesh2D::MeshBuilder::build_the_mesh ( const TransformationType & transformation = [](const std::array<double, 2> & x) { return x; } )

inline

Build mesh

◆ cell() [1/2]

template<size_t object_dim>

Polytope< DIMENSION > * Mesh2D::Polytope< object_dim >::cell ( const size_t i ) const

Return the i-th cell of the Polytope.

◆ cell() [2/2]

Cell * Mesh2D::Mesh::cell ( std::size_t index ) const

inline

get a constant pointer to a cell using its global index

◆ center_mass()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< object_dim >::center_mass ( ) const

inline

Return the center mass of the Polytope.

◆ construct_face_normals()

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::construct_face_normals ( )

Set the directions of the face normals of a cell.

◆ coords()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< object_dim >::coords ( ) const

Return the coordinates of a Vertex.

◆ diam()

template<size_t object_dim>

double Mesh2D::Polytope< object_dim >::diam ( ) const

inline

Return the diameter of the Polytope.

◆ dim()

std::size_t Mesh2D::Mesh::dim ( ) const

inline

dimension of the mesh

◆ edge() [1/2]

template<size_t object_dim>

Polytope< 1 > * Mesh2D::Polytope< object_dim >::edge ( const size_t i ) const

Return the i-th edge of the Polytope.

◆ edge() [2/2]

Edge * Mesh2D::Mesh::edge ( std::size_t index ) const

inline

get a constant pointer to a edge using its global index

◆ edge_normal()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< object_dim >::edge_normal ( const size_t edge_index ) const

Return the edge normal of a 2D object.

◆ edge_orientation()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::edge_orientation ( const size_t edge_index ) const

Return the orientation of a Edge.

◆ face() [1/2]

template<size_t object_dim>

Polytope< DIMENSION - 1 > * Mesh2D::Polytope< object_dim >::face ( const size_t i ) const

Return the i-th face of the Polytope.

◆ face() [2/2]

Face * Mesh2D::Mesh::face ( std::size_t index ) const

inline

get a constant pointer to a face using its global index

◆ face_normal()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< 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 object_dim>

int Mesh2D::Polytope< object_dim >::face_orientation ( const size_t face_index ) const

Return the orientation of a Face.

◆ find_cell()

size_t Mesh2D::Mesh::find_cell ( const VectorRd x ) const

inline

< returns the index of the cell containing the point x

◆ get_b_cells()

std::vector< Cell * > Mesh2D::Mesh::get_b_cells ( ) const

inline

lists the boundary cells in the mesh.

◆ get_b_edges()

std::vector< Edge * > Mesh2D::Mesh::get_b_edges ( ) const

inline

lists the boundary edges in the mesh.

◆ get_b_faces()

std::vector< Face * > Mesh2D::Mesh::get_b_faces ( ) const

inline

lists the boundary faces in the mesh.

◆ get_b_vertices()

std::vector< Vertex * > Mesh2D::Mesh::get_b_vertices ( ) const

inline

lists the boundary vertices in the mesh.

◆ get_cells() [1/2]

std::vector< Cell * > Mesh2D::Mesh::get_cells ( ) const

inline

lists the cells in the mesh.

◆ get_cells() [2/2]

template<size_t object_dim>

std::vector< Polytope< DIMENSION > * > Mesh2D::Polytope< object_dim >::get_cells ( ) const

inline

Return the cells of the Polytope.

◆ get_edges() [1/2]

std::vector< Edge * > Mesh2D::Mesh::get_edges ( ) const

inline

lists the edges in the mesh.

◆ get_edges() [2/2]

template<size_t object_dim>

std::vector< Polytope< 1 > * > Mesh2D::Polytope< object_dim >::get_edges ( ) const

inline

Return the edges of the Polytope.

◆ get_faces() [1/2]

std::vector< Face * > Mesh2D::Mesh::get_faces ( ) const

inline

lists the faces in the mesh.

◆ get_faces() [2/2]

template<size_t object_dim>

std::vector< Polytope< DIMENSION - 1 > * > Mesh2D::Polytope< object_dim >::get_faces ( ) const

inline

Return the faces of the Polytope.

◆ get_i_cells()

std::vector< Cell * > Mesh2D::Mesh::get_i_cells ( ) const

inline

lists the internal cells in the mesh.

◆ get_i_edges()

std::vector< Edge * > Mesh2D::Mesh::get_i_edges ( ) const

inline

lists the internal edges in the mesh.

◆ get_i_faces()

std::vector< Face * > Mesh2D::Mesh::get_i_faces ( ) const

inline

lists the internal faces in the mesh.

◆ get_i_vertices()

std::vector< Vertex * > Mesh2D::Mesh::get_i_vertices ( ) const

inline

lists the internal vertices in the mesh.

◆ get_name()

std::string Mesh2D::Mesh::get_name ( )

inline

getter for the mesh name

◆ get_simplices()

template<size_t object_dim>

Simplices< object_dim > Mesh2D::Polytope< object_dim >::get_simplices ( ) const

inline

Return the simplices making up the Polytope.

◆ get_vertices() [1/2]

std::vector< Vertex * > Mesh2D::Mesh::get_vertices ( ) const

inline

lists the vertices in the mesh.

◆ get_vertices() [2/2]

template<size_t object_dim>

std::vector< Polytope< 0 > * > Mesh2D::Polytope< object_dim >::get_vertices ( ) const

inline

Return the vertices of the Polytope.

◆ global_index()

template<size_t object_dim>

size_t Mesh2D::Polytope< object_dim >::global_index ( ) const

inline

Return the global index of the Polytope.

◆ h_max()

double Mesh2D::Mesh::h_max ( ) const

inline

< max diameter of cells

◆ i_cell()

Cell * Mesh2D::Mesh::i_cell ( std::size_t index ) const

inline

get a constant pointer to an internal cell using an index

◆ i_edge()

Edge * Mesh2D::Mesh::i_edge ( std::size_t index ) const

inline

get a constant pointer to an internal edge using an index

◆ i_face()

Face * Mesh2D::Mesh::i_face ( std::size_t index ) const

inline

get a constant pointer to an internal face using an index

◆ i_vertex()

Vertex * Mesh2D::Mesh::i_vertex ( std::size_t index ) const

inline

get a constant pointer to an internal vertex using an index

◆ index_cell()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::index_cell ( const Polytope< DIMENSION > * cell ) const

Returns the local index of a cell.

◆ index_edge()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::index_edge ( const Polytope< 1 > * edge ) const

Returns the local index of an edge.

◆ index_face()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::index_face ( const Polytope< DIMENSION - 1 > * face ) const

Returns the local index of a face.

◆ index_vertex()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::index_vertex ( const Polytope< 0 > * vertex ) const

Returns the local index of a vertex.

◆ is_boundary()

template<size_t object_dim>

bool Mesh2D::Polytope< object_dim >::is_boundary ( ) const

inline

Return true if Polytope is a boundary object, false otherwise.

◆ measure()

template<size_t object_dim>

double Mesh2D::Polytope< object_dim >::measure ( ) const

inline

Return the Lebesgue measure of the Polytope.

◆ Mesh()

Mesh2D::Mesh::Mesh ( )

inline

◆ MeshBuilder() [1/2]

Mesh2D::MeshBuilder::MeshBuilder ( )

inline

Constructor for MeshBuilder.

◆ MeshBuilder() [2/2]

Mesh2D::MeshBuilder::MeshBuilder ( const std::string mesh_file )

inline

Overloaded constructor for MeshBuilder so read_mesh can be called from build_the_mesh().

◆ MeshReader()

MeshReader::MeshReader ( std::string file_name )

Constructor for mesh reader. If file_name has a .geo or a .msh extension, then the mesh is built by GMesh from this file, otherwise it is considered to be .typ2 file which is directly read.

Parameters

file_name full path of the file describing the mesh

◆ n_b_cells()

std::size_t Mesh2D::Mesh::n_b_cells ( ) const

inline

number of boundary cells in the mesh.

◆ n_b_edges()

std::size_t Mesh2D::Mesh::n_b_edges ( ) const

inline

number of boundary edges in the mesh.

◆ n_b_faces()

std::size_t Mesh2D::Mesh::n_b_faces ( ) const

inline

number of boundary faces in the mesh.

◆ n_b_vertices()

std::size_t Mesh2D::Mesh::n_b_vertices ( ) const

inline

number of boundary vertices in the mesh.

◆ n_cells() [1/2]

std::size_t Mesh2D::Mesh::n_cells ( ) const

inline

number of cells in the mesh.

◆ n_cells() [2/2]

template<size_t object_dim>

size_t Mesh2D::Polytope< object_dim >::n_cells ( ) const

inline

Return the number of cells of the Polytope.

◆ n_edges() [1/2]

std::size_t Mesh2D::Mesh::n_edges ( ) const

inline

number of edges in the mesh.

◆ n_edges() [2/2]

template<size_t object_dim>

size_t Mesh2D::Polytope< object_dim >::n_edges ( ) const

inline

Return the number of edges of the Polytope.

◆ n_faces() [1/2]

std::size_t Mesh2D::Mesh::n_faces ( ) const

inline

number of faces in the mesh.

◆ n_faces() [2/2]

template<size_t object_dim>

size_t Mesh2D::Polytope< object_dim >::n_faces ( ) const

inline

Return the number of faces of the Polytope.

◆ n_i_cells()

std::size_t Mesh2D::Mesh::n_i_cells ( ) const

inline

number of internal cells in the mesh.

◆ n_i_edges()

std::size_t Mesh2D::Mesh::n_i_edges ( ) const

inline

number of internal edges in the mesh.

◆ n_i_faces()

std::size_t Mesh2D::Mesh::n_i_faces ( ) const

inline

number of internal faces in the mesh.

◆ n_i_vertices()

std::size_t Mesh2D::Mesh::n_i_vertices ( ) const

inline

number of internal vertices in the mesh.

◆ n_vertices() [1/2]

std::size_t Mesh2D::Mesh::n_vertices ( ) const

inline

number of vertices in the mesh.

◆ n_vertices() [2/2]

template<size_t object_dim>

size_t Mesh2D::Polytope< object_dim >::n_vertices ( ) const

inline

Return the number of vertices of the Polytope.

◆ normal()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< object_dim >::normal ( ) const

Return the normal of a Face.

◆ plot()

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::plot ( std::ofstream * out ) const

Plot the polytope to out.

◆ plot_mesh()

void Mesh2D::Mesh::plot_mesh ( std::ofstream * out )

inline

◆ plot_simplices() [1/2]

void Mesh2D::Mesh::plot_simplices ( std::ofstream * out )

inline

◆ plot_simplices() [2/2]

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::plot_simplices ( std::ofstream * out ) const

Plot the simplices to out.

◆ Polytope() [1/4]

template<size_t object_dim>

Mesh2D::Polytope< object_dim >::Polytope ( )

Destructor.

◆ Polytope() [2/4]

template<size_t object_dim>

Mesh2D::Polytope< object_dim >::Polytope	(	size_t	index,
		Simplex< object_dim >	simplex
	)

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

◆ Polytope() [3/4]

template<size_t object_dim>

Mesh2D::Polytope< object_dim >::Polytope	(	size_t	index,
		Simplices< object_dim >	simplices
	)

< Constructor for a Polytope defined by its simplices

Constructor for a Simplex

◆ Polytope() [4/4]

template<size_t object_dim>

Mesh2D::Polytope< object_dim >::Polytope	(	size_t	index,
		VectorRd	vertex
	)

Null constructor.

◆ read_file()

void MeshReader::read_file	(	std::vector< std::array< double, 2 > > &	vertices,
		std::vector< std::vector< size_t > > &	cells
	)

Depending on the extension, calls the typ2 or GMesh reader

◆ read_typ2file()

void MeshReader::read_typ2file	(	std::vector< std::array< double, 2 > > &	vertices,
		std::vector< std::vector< size_t > > &	cells
	)

Reads a typ2 file into the specified containers

Parameters

vertices	reference to a vector to hold the vertices coordinates
cells	reference to a vector to hold the cell vertices

◆ regularity()

std::vector< double > Mesh2D::Mesh::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()

void Mesh2D::Mesh::renum	(	const char	B,
		const std::vector< size_t >	new_to_old
	)

inline

◆ set_boundary()

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::set_boundary ( bool val )

inline

Set the boundary value of the Polytope.

◆ set_global_index()

template<size_t object_dim>

void Mesh2D::Polytope< object_dim >::set_global_index ( const size_t idx )

inline

Set the global index.

◆ set_name()

void Mesh2D::Mesh::set_name ( std::string name )

inline

set the name of the mesh

◆ simplex_center_mass()

template<size_t object_dim>

VectorRd Mesh2D::simplex_center_mass ( Simplex< object_dim > simplex )

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

◆ simplex_measure()

template<size_t object_dim>

double Mesh2D::simplex_measure ( Simplex< object_dim > simplex )

◆ tangent()

template<size_t object_dim>

VectorRd Mesh2D::Polytope< object_dim >::tangent ( ) const

Return the tangent of a Edge.

◆ vertex() [1/2]

template<size_t object_dim>

Polytope< 0 > * Mesh2D::Polytope< object_dim >::vertex ( const size_t i ) const

Return the i-th vertex of the Polytope.

◆ vertex() [2/2]

Vertex * Mesh2D::Mesh::vertex ( std::size_t index ) const

inline

get a constant pointer to a vertex using its global index

◆ vertex_orientation()

template<size_t object_dim>

int Mesh2D::Polytope< object_dim >::vertex_orientation ( const size_t vertex_index ) const

Return the orientation of a Vertex.

◆ ~Mesh()

Mesh2D::Mesh::~Mesh ( )

inline

◆ ~MeshReader()

Mesh2D::MeshReader::~MeshReader ( )

inline

◆ ~Polytope()

template<size_t object_dim>

Mesh2D::Polytope< object_dim >::~Polytope ( )

Classes

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ Cell

◆ Edge

◆ Face

◆ TransformationType

◆ 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()

◆ build_the_mesh()

◆ cell() [1/2]

◆ cell() [2/2]

◆ center_mass()

◆ construct_face_normals()

◆ coords()

◆ diam()

◆ dim()

◆ edge() [1/2]

◆ edge() [2/2]

◆ edge_normal()

◆ edge_orientation()

◆ face() [1/2]

◆ face() [2/2]

◆ face_normal()

◆ face_orientation()

◆ find_cell()

◆ get_b_cells()

◆ get_b_edges()

◆ get_b_faces()

◆ get_b_vertices()

◆ 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()

◆ is_boundary()

◆ measure()

◆ Mesh()

◆ MeshBuilder() [1/2]