#include <mesh.hpp>

Inheritance diagram for mfem::Mesh:

Collaboration diagram for mfem::Mesh:

Classes
struct	FaceInfo

struct	NCFaceInfo

Public Types
enum	{ NORMAL, TWO_LEVEL_COARSE, TWO_LEVEL_FINE }

Public Member Functions
	Mesh ()

	Mesh (const Mesh &mesh, bool copy_nodes=true)

	Mesh (int _Dim, int NVert, int NElem, int NBdrElem=0, int _spaceDim=-1)

Element *	NewElement (int geom)

void	AddVertex (const double *)

void	AddTri (const int *vi, int attr=1)

void	AddTriangle (const int *vi, int attr=1)

void	AddQuad (const int *vi, int attr=1)

void	AddTet (const int *vi, int attr=1)

void	AddHex (const int *vi, int attr=1)

void	AddHexAsTets (const int *vi, int attr=1)

void	AddElement (Element *elem)

void	AddBdrElement (Element *elem)

void	AddBdrSegment (const int *vi, int attr=1)

void	AddBdrTriangle (const int *vi, int attr=1)

void	AddBdrQuad (const int *vi, int attr=1)

void	AddBdrQuadAsTriangles (const int *vi, int attr=1)

void	GenerateBoundaryElements ()

void	FinalizeTriMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)

void	FinalizeQuadMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)

void	FinalizeTetMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)

void	FinalizeHexMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)

void	SetAttributes ()

void	GetGeckoElementReordering (Array< int > &ordering)

void	ReorderElements (const Array< int > &ordering, bool reorder_vertices=true)

	Mesh (int nx, int ny, int nz, Element::Type type, int generate_edges=0, double sx=1.0, double sy=1.0, double sz=1.0)

	Mesh (int nx, int ny, Element::Type type, int generate_edges=0, double sx=1.0, double sy=1.0)

	Mesh (int n, double sx=1.0)

	Mesh (std::istream &input, int generate_edges=0, int refine=1, bool fix_orientation=true)

	Mesh (Mesh *mesh_array[], int num_pieces)
	Create a disjoint mesh from the given mesh array. More...

void	Load (std::istream &input, int generate_edges=0, int refine=1, bool fix_orientation=true)

int	MeshGenerator ()
	Truegrid or NetGen? More...

int	GetNV () const

int	GetNE () const
	Returns number of elements. More...

int	GetNBE () const
	Returns number of boundary elements. More...

int	GetNEdges () const
	Return the number of edges. More...

int	GetNFaces () const
	Return the number of faces in a 3D mesh. More...

int	GetNumFaces () const
	Return the number of faces (3D), edges (2D) or vertices (1D). More...

int	EulerNumber () const
	Equals 1 + num_holes - num_loops. More...

int	EulerNumber2D () const
	Equals 1 - num_holes. More...

int	Dimension () const

int	SpaceDimension () const

const double *	GetVertex (int i) const
	Return pointer to vertex i's coordinates. More...

double *	GetVertex (int i)

const Element *	GetElement (int i) const

Element *	GetElement (int i)

const Element *	GetBdrElement (int i) const

Element *	GetBdrElement (int i)

const Element *	GetFace (int i) const

int	GetFaceBaseGeometry (int i) const

int	GetElementBaseGeometry (int i) const

int	GetBdrElementBaseGeometry (int i) const

void	GetElementVertices (int i, Array< int > &dofs) const
	Returns the indices of the dofs of element i. More...

void	GetBdrElementVertices (int i, Array< int > &dofs) const
	Returns the indices of the dofs of boundary element i. More...

void	GetElementEdges (int i, Array< int > &edges, Array< int > &cor) const
	Return the indices and the orientations of all edges of element i. More...

void	GetBdrElementEdges (int i, Array< int > &edges, Array< int > &cor) const
	Return the indices and the orientations of all edges of bdr element i. More...

void	GetFaceEdges (int i, Array< int > &, Array< int > &) const

void	GetFaceVertices (int i, Array< int > &vert) const
	Returns the indices of the vertices of face i. More...

void	GetEdgeVertices (int i, Array< int > &vert) const
	Returns the indices of the vertices of edge i. More...

Table *	GetFaceEdgeTable () const
	Returns the face-to-edge Table (3D) More...

Table *	GetEdgeVertexTable () const
	Returns the edge-to-vertex Table (3D) More...

void	GetElementFaces (int i, Array< int > &, Array< int > &) const
	Return the indices and the orientations of all faces of element i. More...

void	GetBdrElementFace (int i, int , int ) const
	Return the index and the orientation of the face of bdr element i. (3D) More...

int	GetBdrElementEdgeIndex (int i) const

int	GetElementType (int i) const
	Returns the type of element i. More...

int	GetBdrElementType (int i) const
	Returns the type of boundary element i. More...

void	GetPointMatrix (int i, DenseMatrix &pointmat) const

void	GetBdrPointMatrix (int i, DenseMatrix &pointmat) const

void	GetElementTransformation (int i, IsoparametricTransformation *ElTr)

ElementTransformation *	GetElementTransformation (int i)
	Returns the transformation defining the i-th element. More...

void	GetElementTransformation (int i, const Vector &nodes, IsoparametricTransformation *ElTr)

ElementTransformation *	GetBdrElementTransformation (int i)
	Returns the transformation defining the i-th boundary element. More...

void	GetBdrElementTransformation (int i, IsoparametricTransformation *ElTr)

void	GetFaceTransformation (int i, IsoparametricTransformation *FTr)

ElementTransformation *	GetFaceTransformation (int FaceNo)
	Returns the transformation defining the given face element. More...

void	GetEdgeTransformation (int i, IsoparametricTransformation *EdTr)

ElementTransformation *	GetEdgeTransformation (int EdgeNo)
	Returns the transformation defining the given face element. More...

FaceElementTransformations *	GetFaceElementTransformations (int FaceNo, int mask=31)

FaceElementTransformations *	GetInteriorFaceTransformations (int FaceNo)

FaceElementTransformations *	GetBdrFaceTransformations (int BdrElemNo)

bool	FaceIsInterior (int FaceNo) const
	Return true if the given face is interior. More...

void	GetFaceElements (int Face, int Elem1, int Elem2)

void	GetFaceInfos (int Face, int Inf1, int Inf2)

void	CheckElementOrientation (bool fix_it=true)
	Check the orientation of the elements. More...

void	CheckBdrElementOrientation (bool fix_it=true)
	Check the orientation of the boundary elements. More...

int	GetAttribute (int i) const
	Return the attribute of element i. More...

int	GetBdrAttribute (int i) const
	Return the attribute of boundary element i. More...

const Table &	ElementToElementTable ()

const Table &	ElementToFaceTable () const

const Table &	ElementToEdgeTable () const

Table *	GetVertexToElementTable ()
	The returned Table must be destroyed by the caller. More...

Table *	GetFaceToElementTable () const

virtual void	ReorientTetMesh ()

int *	CartesianPartitioning (int nxyz[])

int *	GeneratePartitioning (int nparts, int part_method=1)

void	CheckPartitioning (int *partitioning)

void	CheckDisplacements (const Vector &displacements, double &tmax)

void	MoveVertices (const Vector &displacements)

void	GetVertices (Vector &vert_coord) const

void	SetVertices (const Vector &vert_coord)

void	GetNode (int i, double *coord)

void	SetNode (int i, const double *coord)

void	MoveNodes (const Vector &displacements)

void	GetNodes (Vector &node_coord) const

void	SetNodes (const Vector &node_coord)

GridFunction *	GetNodes ()
	Return a pointer to the internal node GridFunction (may be NULL). More...

void	NewNodes (GridFunction &nodes, bool make_owner=false)
	Replace the internal node GridFunction with the given GridFunction. More...

void	SwapNodes (GridFunction *&nodes, int &own_nodes_)

void	GetNodes (GridFunction &nodes) const
	Return the mesh nodes/vertices projected on the given GridFunction. More...

void	SetNodalFESpace (FiniteElementSpace *nfes)

void	SetNodalGridFunction (GridFunction *nodes, bool make_owner=false)

const FiniteElementSpace *	GetNodalFESpace ()

void	SetCurvature (int order, bool discont=false, int space_dim=-1, int ordering=1)

void	UniformRefinement ()

void	GeneralRefinement (const Array< Refinement > &refinements, int nonconforming=-1, int nc_limit=0)

void	GeneralRefinement (const Array< int > &el_to_refine, int nonconforming=-1, int nc_limit=0)

void	EnsureNCMesh ()

void	RandomRefinement (int levels, int frac=2, bool aniso=false, int nonconforming=-1, int nc_limit=-1, int seed=0)
	Refine each element with 1/frac probability, repeat 'levels' times. More...

void	RefineAtVertex (const Vertex &vert, int levels, double eps=0.0, int nonconforming=-1)
	Refine elements sharing the specified vertex, 'levels' times. More...

void	KnotInsert (Array< KnotVector * > &kv)

void	DegreeElevate (int t)

void	UseTwoLevelState (int use)

void	SetState (int s)
	Change the mesh state to NORMAL, TWO_LEVEL_COARSE, TWO_LEVEL_FINE. More...

int	GetState () const

int	GetNumFineElems (int i)

int	GetRefinementType (int i)
	For a given coarse element i returns its refinement type. More...

int	GetFineElem (int i, int j)

ElementTransformation *	GetFineElemTrans (int i, int j)

virtual void	PrintXG (std::ostream &out=std::cout) const
	Print the mesh to the given stream using Netgen/Truegrid format. More...

virtual void	Print (std::ostream &out=std::cout) const
	Print the mesh to the given stream using the default MFEM mesh format. More...

void	PrintVTK (std::ostream &out)
	Print the mesh in VTK format (linear and quadratic meshes only). More...

void	PrintVTK (std::ostream &out, int ref, int field_data=0)

void	GetElementColoring (Array< int > &colors, int el0=0)

void	PrintWithPartitioning (int *partitioning, std::ostream &out, int elem_attr=0) const

void	PrintElementsWithPartitioning (int *partitioning, std::ostream &out, int interior_faces=0)

void	PrintSurfaces (const Table &Aface_face, std::ostream &out) const
	Print set of disjoint surfaces: More...

void	ScaleSubdomains (double sf)

void	ScaleElements (double sf)

void	Transform (void(*f)(const Vector &, Vector &))

void	Transform (VectorCoefficient &deformation)

void	RemoveUnusedVertices ()
	Remove unused vertices and rebuild mesh connectivity. More...

void	RemoveInternalBoundaries ()

double	GetElementSize (int i, int type=0)

double	GetElementSize (int i, const Vector &dir)

double	GetElementVolume (int i)

void	PrintCharacteristics (Vector Vh=NULL, Vector Vk=NULL, std::ostream &out=std::cout)

virtual void	PrintInfo (std::ostream &out=std::cout)

void	MesquiteSmooth (const int mesquite_option=0)

virtual	~Mesh ()
	Destroys mesh. More...

Static Public Member Functions
static FiniteElement *	GetTransformationFEforElementType (int)

Public Attributes
Array< int >	attributes

Array< int >	bdr_attributes

NURBSExtension *	NURBSext

NCMesh *	ncmesh

Protected Member Functions
void	Init ()

void	InitTables ()

void	DeleteTables ()

void	DeleteCoarseTables ()

Element *	ReadElementWithoutAttr (std::istream &)

Element *	ReadElement (std::istream &)

void	SetMeshGen ()

double	GetLength (int i, int j) const
	Return the length of the segment from node i to node j. More...

void	GetElementJacobian (int i, DenseMatrix &J)

void	MarkForRefinement ()

void	MarkTriMeshForRefinement ()

void	GetEdgeOrdering (DSTable &v_to_v, Array< int > &order)

void	MarkTetMeshForRefinement ()

void	PrepareNodeReorder (DSTable old_v_to_v, Table old_elem_vert)

void	DoNodeReorder (DSTable old_v_to_v, Table old_elem_vert)

STable3D *	GetFacesTable ()

STable3D *	GetElementToFaceTable (int ret_ftbl=0)

void	RedRefinement (int i, const DSTable &v_to_v, int edge1, int edge2, int *middle)

void	GreenRefinement (int i, const DSTable &v_to_v, int edge1, int edge2, int *middle)

void	Bisection (int i, const DSTable &, int , int , int *)

void	Bisection (int i, const DSTable &, int *)

void	UniformRefinement (int i, const DSTable &, int , int , int *)

void	AverageVertices (int *indexes, int n, int result)

void	UpdateNodes ()
	Update the nodes of a curved mesh after refinement. More...

virtual void	QuadUniformRefinement ()
	Refine quadrilateral mesh. More...

virtual void	HexUniformRefinement ()
	Refine hexahedral mesh. More...

virtual void	NURBSUniformRefinement ()
	Refine NURBS mesh. More...

virtual void	LocalRefinement (const Array< int > &marked_el, int type=3)
	This function is not public anymore. Use GeneralRefinement instead. More...

virtual void	NonconformingRefinement (const Array< Refinement > &refinements, int nc_limit=0)
	This function is not public anymore. Use GeneralRefinement instead. More...

void	LoadPatchTopo (std::istream &input, Array< int > &edge_to_knot)
	Read NURBS patch/macro-element mesh. More...

void	UpdateNURBS ()

void	PrintTopo (std::ostream &out, const Array< int > &e_to_k) const

void	BisectTriTrans (DenseMatrix &pointmat, Triangle *tri, int child)

void	BisectTetTrans (DenseMatrix &pointmat, Tetrahedron *tet, int child)

int	GetFineElemPath (int i, int j)

int	GetBisectionHierarchy (Element *E)

void	GetLocalPtToSegTransformation (IsoparametricTransformation &, int)
	Used in GetFaceElementTransformations (...) More...

void	GetLocalSegToTriTransformation (IsoparametricTransformation &loc, int i)

void	GetLocalSegToQuadTransformation (IsoparametricTransformation &loc, int i)

void	GetLocalTriToTetTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...) More...

void	GetLocalQuadToHexTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...) More...

void	ApplySlaveTransformation (IsoparametricTransformation &transf, const FaceInfo &fi)

bool	IsSlaveFace (const FaceInfo &fi)

void	GetVertexToVertexTable (DSTable &) const

int	GetElementToEdgeTable (Table &, Array< int > &)

void	AddPointFaceElement (int lf, int gf, int el)
	Used in GenerateFaces() More...

void	AddSegmentFaceElement (int lf, int gf, int el, int v0, int v1)

void	AddTriangleFaceElement (int lf, int gf, int el, int v0, int v1, int v2)

void	AddQuadFaceElement (int lf, int gf, int el, int v0, int v1, int v2, int v3)

bool	FaceIsTrueInterior (int FaceNo) const

void	FreeElement (Element *E)

void	GenerateFaces ()

void	GenerateNCFaceInfo ()

void	InitMesh (int _Dim, int _spaceDim, int NVert, int NElem, int NBdrElem)
	Begin construction of a mesh. More...

void	Make3D (int nx, int ny, int nz, Element::Type type, int generate_edges, double sx, double sy, double sz)

void	Make2D (int nx, int ny, Element::Type type, int generate_edges, double sx, double sy)

void	Make1D (int n, double sx=1.0)
	Creates a 1D mesh for the interval [0,sx] divided into n equal intervals. More...

void	InitFromNCMesh (const NCMesh &ncmesh)
	Initialize vertices/elements/boundary/tables from a nonconforming mesh. More...

	Mesh (const NCMesh &ncmesh)
	Create from a nonconforming mesh. More...

void	Swap (Mesh &other, bool non_geometry=false)

Static Protected Member Functions
static void	PrintElementWithoutAttr (const Element *, std::ostream &)

static void	PrintElement (const Element *, std::ostream &)

static int	GetTriOrientation (const int base, const int test)
	Returns the orientation of "test" relative to "base". More...

static int	GetQuadOrientation (const int base, const int test)
	Returns the orientation of "test" relative to "base". More...

static void	GetElementArrayEdgeTable (const Array< Element * > &elem_array, const DSTable &v_to_v, Table &el_to_edge)

static void	ShiftL2R (int &, int &, int &)

static void	Rotate3 (int &, int &, int &)

Protected Attributes
int	Dim

int	spaceDim

int	NumOfVertices

int	NumOfElements

int	NumOfBdrElements

int	NumOfEdges

int	NumOfFaces

int	State

int	WantTwoLevelState

int	meshgen

int	c_NumOfVertices

int	c_NumOfElements

int	c_NumOfBdrElements

int	f_NumOfVertices

int	f_NumOfElements

int	f_NumOfBdrElements

int	c_NumOfEdges

int	c_NumOfFaces

int	f_NumOfEdges

int	f_NumOfFaces

Array< Element * >	elements

Array< Vertex >	vertices

Array< Element * >	boundary

Array< Element * >	faces

Array< FaceInfo >	faces_info

Array< NCFaceInfo >	nc_faces_info

Table *	el_to_edge

Table *	el_to_face

Table *	el_to_el

Array< int >	be_to_edge

Table *	bel_to_edge

Array< int >	be_to_face

Table *	face_edge

Table *	edge_vertex

Table *	c_el_to_edge

Table *	f_el_to_edge

Table *	c_bel_to_edge

Table *	f_bel_to_edge

Array< int >	fc_be_to_edge

Table *	c_el_to_face

Table *	f_el_to_face

Array< FaceInfo >	fc_faces_info

IsoparametricTransformation	Transformation

IsoparametricTransformation	Transformation2

IsoparametricTransformation	FaceTransformation

IsoparametricTransformation	EdgeTransformation

FaceElementTransformations	FaceElemTr

GridFunction *	Nodes

int	own_nodes

Mesh *	nc_coarse_level

MemAlloc< Tetrahedron, 1024 >	TetMemory

MemAlloc< BisectedElement, 1024 >	BEMemory

Static Protected Attributes
static const int	tet_faces [4][3]

static const int	hex_faces [6][4]

static const int	tri_orientations [6][3]

static const int	quad_orientations [8][4]

Friends
class	ParMesh

class	ParNCMesh

class	NURBSExtension

class	Tetrahedron

Detailed Description

Definition at line 41 of file mesh.hpp.

Member Enumeration Documentation

anonymous enum

Enumerator
NORMAL
TWO_LEVEL_COARSE
TWO_LEVEL_FINE

Definition at line 343 of file mesh.hpp.

Constructor & Destructor Documentation

mfem::Mesh::Mesh ( const NCMesh & ncmesh )

protected

Create from a nonconforming mesh.

Definition at line 6775 of file mesh.cpp.

mfem::Mesh::Mesh ( )

inline

Definition at line 345 of file mesh.hpp.

mfem::Mesh::Mesh	(	const Mesh &	mesh,
		bool	copy_nodes = `true`
	)

explicit

Copy constructor. Performs a deep copy of (almost) all data, so that the source mesh can be modified (e.g. deleted, refined) without affecting the new mesh. The source mesh has to be in a NORMAL, i.e. not TWO_LEVEL_*, state. If 'copy_nodes' is false, use a shallow (pointer) copy for the nodes, if present.

Definition at line 2033 of file mesh.cpp.

mfem::Mesh::Mesh	(	int	_Dim,
		int	NVert,
		int	NElem,
		int	NBdrElem = `0`,
		int	_spaceDim = `-1`
	)

inline

Definition at line 354 of file mesh.hpp.

mfem::Mesh::Mesh	(	int	nx,
		int	ny,
		int	nz,
		Element::Type	type,
		int	generate_edges = `0`,
		double	sx = `1.0`,
		double	sy = `1.0`,
		double	sz = `1.0`
	)

inline

Creates mesh for the parallelepiped [0,sx]x[0,sy]x[0,sz], divided into nx*ny*nz hexahedrals if type=HEXAHEDRON or into 6*nx*ny*nz tetrahedrons if type=TETRAHEDRON. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

Definition at line 408 of file mesh.hpp.

mfem::Mesh::Mesh	(	int	nx,
		int	ny,
		Element::Type	type,
		int	generate_edges = `0`,
		double	sx = `1.0`,
		double	sy = `1.0`
	)

inline

Creates mesh for the rectangle [0,sx]x[0,sy], divided into nx*ny quadrilaterals if type = QUADRILATERAL or into 2*nx*ny triangles if type = TRIANGLE. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

Definition at line 418 of file mesh.hpp.

mfem::Mesh::Mesh	(	int	n,
		double	sx = `1.0`
	)

inlineexplicit

Creates 1D mesh , divided into n equal intervals.

Definition at line 425 of file mesh.hpp.

mfem::Mesh::Mesh	(	std::istream &	input,
		int	generate_edges = `0`,
		int	refine = `1`,
		bool	fix_orientation = `true`
	)

Creates mesh by reading data stream in MFEM, netgen, or VTK format. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

Definition at line 2144 of file mesh.cpp.

mfem::Mesh::Mesh	(	Mesh *	mesh_array[],
		int	num_pieces
	)

Create a disjoint mesh from the given mesh array.

Definition at line 3292 of file mesh.cpp.

mfem::Mesh::~Mesh ( )

virtual

Destroys mesh.

Definition at line 9794 of file mesh.cpp.

Member Function Documentation

void mfem::Mesh::AddBdrElement ( Element * elem )

inline

Definition at line 374 of file mesh.hpp.

void mfem::Mesh::AddBdrQuad	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 918 of file mesh.cpp.

void mfem::Mesh::AddBdrQuadAsTriangles	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 923 of file mesh.cpp.

void mfem::Mesh::AddBdrSegment	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 908 of file mesh.cpp.

void mfem::Mesh::AddBdrTriangle	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 913 of file mesh.cpp.

void mfem::Mesh::AddElement ( Element * elem )

inline

Definition at line 373 of file mesh.hpp.

void mfem::Mesh::AddHex	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 884 of file mesh.cpp.

void mfem::Mesh::AddHexAsTets	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 889 of file mesh.cpp.

void mfem::Mesh::AddPointFaceElement	(	int	lf,
		int	gf,
		int	el
	)

protected

Used in GenerateFaces()

Definition at line 4599 of file mesh.cpp.

void mfem::Mesh::AddQuad	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 866 of file mesh.cpp.

void mfem::Mesh::AddQuadFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1,
		int	v2,
		int	v3
	)

protected

Definition at line 4667 of file mesh.cpp.

void mfem::Mesh::AddSegmentFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1
	)

protected

Definition at line 4616 of file mesh.cpp.

void mfem::Mesh::AddTet	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 871 of file mesh.cpp.

void mfem::Mesh::AddTri	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 856 of file mesh.cpp.

void mfem::Mesh::AddTriangle	(	const int *	vi,
		int	attr = `1`
	)

Definition at line 861 of file mesh.cpp.

void mfem::Mesh::AddTriangleFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1,
		int	v2
	)

protected

Definition at line 4646 of file mesh.cpp.

void mfem::Mesh::AddVertex ( const double * x )

Definition at line 845 of file mesh.cpp.

void mfem::Mesh::ApplySlaveTransformation	(	IsoparametricTransformation &	transf,
		const FaceInfo &	fi
	)

protected

Used in GetFaceElementTransformations to account for the fact that a slave face occupies only a portion of its master face.

Definition at line 695 of file mesh.cpp.

void mfem::Mesh::AverageVertices	(	int *	indexes,
		int	n,
		int	result
	)

protected

Averages the vertices with given indexes and saves the result in vertices[result].

Definition at line 5892 of file mesh.cpp.

void mfem::Mesh::Bisection	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)

protected

Bisection. Element with index i is bisected.

Definition at line 6991 of file mesh.cpp.

void mfem::Mesh::Bisection	(	int	i,
		const DSTable &	v_to_v,
		int *	middle
	)

protected

Bisection. Boundary element with index i is bisected.

Definition at line 7236 of file mesh.cpp.

void mfem::Mesh::BisectTetTrans	(	DenseMatrix &	pointmat,
		Tetrahedron *	tet,
		int	child
	)

protected

Definition at line 7886 of file mesh.cpp.

void mfem::Mesh::BisectTriTrans	(	DenseMatrix &	pointmat,
		Triangle *	tri,
		int	child
	)

protected

Definition at line 7862 of file mesh.cpp.

int * mfem::Mesh::CartesianPartitioning ( int nxyz[] )

Definition at line 5023 of file mesh.cpp.

void mfem::Mesh::CheckBdrElementOrientation ( bool fix_it = true )

Check the orientation of the boundary elements.

Definition at line 3972 of file mesh.cpp.

void mfem::Mesh::CheckDisplacements	(	const Vector &	displacements,
		double &	tmax
	)

Definition at line 5687 of file mesh.cpp.

void mfem::Mesh::CheckElementOrientation ( bool fix_it = true )

Check the orientation of the elements.

Definition at line 3770 of file mesh.cpp.

void mfem::Mesh::CheckPartitioning ( int * partitioning )

Definition at line 5369 of file mesh.cpp.

void mfem::Mesh::DegreeElevate ( int t )

Definition at line 3497 of file mesh.cpp.

void mfem::Mesh::DeleteCoarseTables ( )

protected

Delete the 'el_to_el', 'face_edge' and 'edge_vertex' tables, and the coarse non-conforming Mesh 'nc_coarse_level'. Useful in refinement methods to destroy these data members.

Definition at line 784 of file mesh.cpp.

void mfem::Mesh::DeleteTables ( )

protected

Definition at line 764 of file mesh.cpp.

int mfem::Mesh::Dimension ( ) const

inline

Definition at line 475 of file mesh.hpp.

void mfem::Mesh::DoNodeReorder	(	DSTable *	old_v_to_v,
		Table *	old_elem_vert
	)

protected

Definition at line 1364 of file mesh.cpp.

const Table & mfem::Mesh::ElementToEdgeTable ( ) const

Definition at line 4590 of file mesh.cpp.

const Table & mfem::Mesh::ElementToElementTable ( )

Definition at line 4551 of file mesh.cpp.

const Table & mfem::Mesh::ElementToFaceTable ( ) const

Definition at line 4581 of file mesh.cpp.

void mfem::Mesh::EnsureNCMesh ( )

Ensure that a quad/hex mesh is considered to be non-conforming (i.e. has an associated NCMesh object).

Definition at line 6929 of file mesh.cpp.

int mfem::Mesh::EulerNumber ( ) const

inline

Equals 1 + num_holes - num_loops.

Definition at line 469 of file mesh.hpp.

int mfem::Mesh::EulerNumber2D ( ) const

inline

Equals 1 - num_holes.

Definition at line 472 of file mesh.hpp.

bool mfem::Mesh::FaceIsInterior ( int FaceNo ) const

inline

Return true if the given face is interior.

Definition at line 633 of file mesh.hpp.

bool mfem::Mesh::FaceIsTrueInterior ( int FaceNo ) const

inlineprotected

For a serial Mesh, return true if the face is interior. For a parallel ParMesh return true if the face is interior or shared. In parallel, this method only works if the face neighbor data is exchanged.

Definition at line 296 of file mesh.hpp.

void mfem::Mesh::FinalizeHexMesh	(	int	generate_edges = `0`,
		int	refine = `0`,
		bool	fix_orientation = `true`
	)

Definition at line 1620 of file mesh.cpp.

void mfem::Mesh::FinalizeQuadMesh	(	int	generate_edges = `0`,
		int	refine = `0`,
		bool	fix_orientation = `true`
	)

Definition at line 1020 of file mesh.cpp.

void mfem::Mesh::FinalizeTetMesh	(	int	generate_edges = `0`,
		int	refine = `0`,
		bool	fix_orientation = `true`
	)

Definition at line 1582 of file mesh.cpp.

void mfem::Mesh::FinalizeTriMesh	(	int	generate_edges = `0`,
		int	refine = `0`,
		bool	fix_orientation = `true`
	)

Definition at line 992 of file mesh.cpp.

void mfem::Mesh::FreeElement ( Element * E )

protected

Definition at line 9779 of file mesh.cpp.

void mfem::Mesh::GeneralRefinement	(	const Array< Refinement > &	refinements,
		int	nonconforming = `-1`,
		int	nc_limit = `0`
	)

Refine selected mesh elements. Refinement type can be specified for each element. The function can do conforming refinement of triangles and tetrahedra and non-conforming refinement (i.e., with hanging-nodes) of triangles, quadrilaterals and hexahedrons. If 'nonconforming' = -1, suitable refinement method is selected automatically (namely, conforming refinement for triangles). Use noncoforming = 0/1 to force the method. For nonconforming refinements, nc_limit optionally specifies the maximum level of hanging nodes (unlimited by default).

Definition at line 6864 of file mesh.cpp.

void mfem::Mesh::GeneralRefinement	(	const Array< int > &	el_to_refine,
		int	nonconforming = `-1`,
		int	nc_limit = `0`
	)

Simplified version of GeneralRefinement taking a simple list of elements to refine, without refinement types.

Definition at line 6918 of file mesh.cpp.

void mfem::Mesh::GenerateBoundaryElements ( )

Definition at line 938 of file mesh.cpp.

void mfem::Mesh::GenerateFaces ( )

protected

Definition at line 4688 of file mesh.cpp.

void mfem::Mesh::GenerateNCFaceInfo ( )

protected

Definition at line 4757 of file mesh.cpp.

int * mfem::Mesh::GeneratePartitioning	(	int	nparts,
		int	part_method = `1`
	)

Definition at line 5068 of file mesh.cpp.

int mfem::Mesh::GetAttribute ( int i ) const

inline

Return the attribute of element i.

Definition at line 646 of file mesh.hpp.

int mfem::Mesh::GetBdrAttribute ( int i ) const

inline

Return the attribute of boundary element i.

Definition at line 649 of file mesh.hpp.

const Element* mfem::Mesh::GetBdrElement ( int i ) const

inline

Definition at line 486 of file mesh.hpp.

Element* mfem::Mesh::GetBdrElement ( int i )

inline

Definition at line 488 of file mesh.hpp.

int mfem::Mesh::GetBdrElementBaseGeometry ( int i ) const

inline

Definition at line 497 of file mesh.hpp.

int mfem::Mesh::GetBdrElementEdgeIndex ( int i ) const

Return the vertex index of boundary element i. (1D) Return the edge index of boundary element i. (2D) Return the face index of boundary element i. (3D)

Definition at line 4370 of file mesh.cpp.

void mfem::Mesh::GetBdrElementEdges	(	int	i,
		Array< int > &	edges,
		Array< int > &	cor
	)		const

Return the indices and the orientations of all edges of bdr element i.

Definition at line 4084 of file mesh.cpp.

void mfem::Mesh::GetBdrElementFace	(	int	i,
		int *	f,
		int *	o
	)		const

Return the index and the orientation of the face of bdr element i. (3D)

Definition at line 4319 of file mesh.cpp.

ElementTransformation * mfem::Mesh::GetBdrElementTransformation ( int i )

Returns the transformation defining the i-th boundary element.

Definition at line 246 of file mesh.cpp.

void mfem::Mesh::GetBdrElementTransformation	(	int	i,
		IsoparametricTransformation *	ElTr
	)

Definition at line 252 of file mesh.cpp.

int mfem::Mesh::GetBdrElementType ( int i ) const

Returns the type of boundary element i.

Definition at line 4401 of file mesh.cpp.

void mfem::Mesh::GetBdrElementVertices	(	int	i,
		Array< int > &	dofs
	)		const

inline

Returns the indices of the dofs of boundary element i.

Definition at line 505 of file mesh.hpp.

FaceElementTransformations * mfem::Mesh::GetBdrFaceTransformations ( int BdrElemNo )

Definition at line 708 of file mesh.cpp.

void mfem::Mesh::GetBdrPointMatrix	(	int	i,
		DenseMatrix &	pointmat
	)		const

Definition at line 4434 of file mesh.cpp.

int mfem::Mesh::GetBisectionHierarchy ( Element * E )

protected

Definition at line 7636 of file mesh.cpp.

void mfem::Mesh::GetEdgeOrdering	(	DSTable &	v_to_v,
		Array< int > &	order
	)

protected

Definition at line 1270 of file mesh.cpp.

void mfem::Mesh::GetEdgeTransformation	(	int	i,
		IsoparametricTransformation *	EdTr
	)

Returns the transformation defining the given edge element. The transformation is stored in a user-defined variable.

Definition at line 369 of file mesh.cpp.

ElementTransformation * mfem::Mesh::GetEdgeTransformation ( int EdgeNo )

Returns the transformation defining the given face element.

Definition at line 417 of file mesh.cpp.

Table * mfem::Mesh::GetEdgeVertexTable ( ) const

Returns the edge-to-vertex Table (3D)

Definition at line 4186 of file mesh.cpp.

void mfem::Mesh::GetEdgeVertices	(	int	i,
		Array< int > &	vert
	)		const

Returns the indices of the vertices of edge i.

Definition at line 4148 of file mesh.cpp.

const Element* mfem::Mesh::GetElement ( int i ) const

inline

Definition at line 482 of file mesh.hpp.

Element* mfem::Mesh::GetElement ( int i )

inline

Definition at line 484 of file mesh.hpp.

void mfem::Mesh::GetElementArrayEdgeTable	(	const Array< Element * > &	elem_array,
		const DSTable &	v_to_v,
		Table &	el_to_edge
	)

staticprotected

Definition at line 4465 of file mesh.cpp.

int mfem::Mesh::GetElementBaseGeometry ( int i ) const

inline

Definition at line 494 of file mesh.hpp.

void mfem::Mesh::GetElementColoring	(	Array< int > &	colors,
		int	el0 = `0`
	)

Definition at line 8768 of file mesh.cpp.

void mfem::Mesh::GetElementEdges	(	int	i,
		Array< int > &	edges,
		Array< int > &	cor
	)		const

Return the indices and the orientations of all edges of element i.

Definition at line 4062 of file mesh.cpp.

void mfem::Mesh::GetElementFaces	(	int	i,
		Array< int > &	fcs,
		Array< int > &	cor
	)		const

Return the indices and the orientations of all faces of element i.

Definition at line 4281 of file mesh.cpp.

void mfem::Mesh::GetElementJacobian	(	int	i,
		DenseMatrix &	J
	)

protected

Compute the Jacobian of the transformation from the perfect reference element at the center of the element.

Definition at line 35 of file mesh.cpp.

double mfem::Mesh::GetElementSize	(	int	i,
		int	type = `0`
	)

Get the size of the i-th element relative to the perfect reference element.

Definition at line 43 of file mesh.cpp.

double mfem::Mesh::GetElementSize	(	int	i,
		const Vector &	dir
	)

Definition at line 61 of file mesh.cpp.

int mfem::Mesh::GetElementToEdgeTable	(	Table &	e_to_f,
		Array< int > &	be_to_f
	)

protected

Return element to edge table and the indices for the boundary edges. The entries in the table are ordered according to the order of the nodes in the elements. For example, if T is the element to edge table T(i, 0) gives the index of edge in element i that connects vertex 0 to vertex 1, etc. Returns the number of the edges.

Definition at line 4512 of file mesh.cpp.

STable3D * mfem::Mesh::GetElementToFaceTable ( int ret_ftbl = 0 )

protected

Definition at line 4841 of file mesh.cpp.

void mfem::Mesh::GetElementTransformation	(	int	i,
		IsoparametricTransformation *	ElTr
	)

Builds the transformation defining the i-th element in the user-defined variable.

Definition at line 173 of file mesh.cpp.

ElementTransformation * mfem::Mesh::GetElementTransformation ( int i )

Returns the transformation defining the i-th element.

Definition at line 239 of file mesh.cpp.

void mfem::Mesh::GetElementTransformation	(	int	i,
		const Vector &	nodes,
		IsoparametricTransformation *	ElTr
	)

Return the transformation defining the i-th element assuming the position of the vertices/nodes are given by 'nodes'.

Definition at line 201 of file mesh.cpp.

int mfem::Mesh::GetElementType ( int i ) const

Returns the type of element i.

Definition at line 4382 of file mesh.cpp.

void mfem::Mesh::GetElementVertices	(	int	i,
		Array< int > &	dofs
	)		const

inline

Returns the indices of the dofs of element i.

Definition at line 501 of file mesh.hpp.

double mfem::Mesh::GetElementVolume ( int i )

Definition at line 70 of file mesh.cpp.

const Element* mfem::Mesh::GetFace ( int i ) const

inline

Definition at line 490 of file mesh.hpp.

int mfem::Mesh::GetFaceBaseGeometry ( int i ) const

Definition at line 4348 of file mesh.cpp.

void mfem::Mesh::GetFaceEdges	(	int	i,
		Array< int > &	edges,
		Array< int > &	o
	)		const

Return the indices and the orientations of all edges of face i. Works for both 2D (face=edge) and 3D faces.

Definition at line 4116 of file mesh.cpp.

Table * mfem::Mesh::GetFaceEdgeTable ( ) const

Returns the face-to-edge Table (3D)

Definition at line 4158 of file mesh.cpp.

void mfem::Mesh::GetFaceElements	(	int	Face,
		int *	Elem1,
		int *	Elem2
	)

Definition at line 734 of file mesh.cpp.

FaceElementTransformations * mfem::Mesh::GetFaceElementTransformations	(	int	FaceNo,
		int	mask = `31`
	)

Returns (a pointer to a structure containing) the following data: 1) Elem1No - the index of the first element that contains this face this is the element that has the same outward unit normal vector as the face; 2) Elem2No - the index of the second element that contains this face this element has outward unit normal vector as the face multiplied with -1; 3) Elem1, Elem2 - pointers to the ElementTransformation's of the first and the second element respectively; 4) Face - pointer to the ElementTransformation of the face; 5) Loc1, Loc2 - IntegrationPointTransformation's mapping the face coordinate system to the element coordinate system (both in their reference elements). Used to transform IntegrationPoints from face to element. More formally, let: TL1, TL2 be the transformations represented by Loc1, Loc2, TE1, TE2 - the transformations represented by Elem1, Elem2, TF - the transformation represented by Face, then TF(x) = TE1(TL1(x)) = TE2(TL2(x)) for all x in the reference face. 6) FaceGeom - the base geometry for the face. The mask specifies which fields in the structure to return: mask & 1 - Elem1, mask & 2 - Elem2, mask & 4 - Loc1, mask & 8 - Loc2, mask & 16 - Face.

Definition at line 557 of file mesh.cpp.

void mfem::Mesh::GetFaceInfos	(	int	Face,
		int *	Inf1,
		int *	Inf2
	)

Definition at line 740 of file mesh.cpp.

STable3D * mfem::Mesh::GetFacesTable ( )

protected

Definition at line 4806 of file mesh.cpp.

Table * mfem::Mesh::GetFaceToElementTable ( ) const

Return the "face"-element Table. Here "face" refers to face (3D), edge (2D), or vertex (1D). The returned Table must be destroyed by the caller.

Definition at line 4247 of file mesh.cpp.

void mfem::Mesh::GetFaceTransformation	(	int	i,
		IsoparametricTransformation *	FTr
	)

Returns the transformation defining the given face element. The transformation is stored in a user-defined variable.

Definition at line 280 of file mesh.cpp.

ElementTransformation * mfem::Mesh::GetFaceTransformation ( int FaceNo )

Returns the transformation defining the given face element.

Definition at line 363 of file mesh.cpp.

void mfem::Mesh::GetFaceVertices	(	int	i,
		Array< int > &	vert
	)		const

inline

Returns the indices of the vertices of face i.

Definition at line 519 of file mesh.hpp.

int mfem::Mesh::GetFineElem	(	int	i,
		int	j
	)

For a given coarse element i and index j of one of its subelements return the global index of the fine element in the fine mesh.

Definition at line 7751 of file mesh.cpp.

int mfem::Mesh::GetFineElemPath	(	int	i,
		int	j
	)

protected

Definition at line 7937 of file mesh.cpp.

ElementTransformation * mfem::Mesh::GetFineElemTrans	(	int	i,
		int	j
	)

For a given coarse element i and index j of one of its subelements return the transformation that transforms the fine element into the coordinate system of the coarse element. Clear, isn't it? :-)

Definition at line 7978 of file mesh.cpp.

void mfem::Mesh::GetGeckoElementReordering ( Array< int > & ordering )

This is our integration with the Gecko library. This will call the Gecko library to find an element ordering that will increase memory coherency by putting elements that are in physical proximity closer in memory.

Definition at line 1049 of file mesh.cpp.

FaceElementTransformations* mfem::Mesh::GetInteriorFaceTransformations ( int FaceNo )

inline

Definition at line 624 of file mesh.hpp.

double mfem::Mesh::GetLength	(	int	i,
		int	j
	)		const

protected

Return the length of the segment from node i to node j.

Definition at line 4450 of file mesh.cpp.

void mfem::Mesh::GetLocalPtToSegTransformation	(	IsoparametricTransformation &	Transf,
		int	i
	)

protected

Used in GetFaceElementTransformations (...)

Definition at line 424 of file mesh.cpp.

void mfem::Mesh::GetLocalQuadToHexTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)

protected

Used in GetFaceElementTransformations (...)

Definition at line 536 of file mesh.cpp.

void mfem::Mesh::GetLocalSegToQuadTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)

protected

Definition at line 461 of file mesh.cpp.

void mfem::Mesh::GetLocalSegToTriTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)

protected

Definition at line 438 of file mesh.cpp.

void mfem::Mesh::GetLocalTriToTetTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)

protected

Used in GetFaceElementTransformations (...)

Definition at line 513 of file mesh.cpp.

int mfem::Mesh::GetNBE ( ) const

inline

Returns number of boundary elements.

Definition at line 457 of file mesh.hpp.

int mfem::Mesh::GetNE ( ) const

inline

Returns number of elements.

Definition at line 454 of file mesh.hpp.

int mfem::Mesh::GetNEdges ( ) const

inline

Return the number of edges.

Definition at line 460 of file mesh.hpp.

int mfem::Mesh::GetNFaces ( ) const

inline

Return the number of faces in a 3D mesh.

Definition at line 463 of file mesh.hpp.

const FiniteElementSpace * mfem::Mesh::GetNodalFESpace ( )

Return the FiniteElementSpace on which the current mesh nodes are defined or NULL if the mesh does not have nodes.

Definition at line 3731 of file mesh.cpp.

void mfem::Mesh::GetNode	(	int	i,
		double *	coord
	)

Definition at line 5793 of file mesh.cpp.

void mfem::Mesh::GetNodes ( Vector & node_coord ) const

Definition at line 5844 of file mesh.cpp.

GridFunction* mfem::Mesh::GetNodes ( )

inline

Return a pointer to the internal node GridFunction (may be NULL).

Definition at line 701 of file mesh.hpp.

void mfem::Mesh::GetNodes ( GridFunction & nodes ) const

Return the mesh nodes/vertices projected on the given GridFunction.

Definition at line 3705 of file mesh.cpp.

int mfem::Mesh::GetNumFaces ( ) const

Return the number of faces (3D), edges (2D) or vertices (1D).

Definition at line 3755 of file mesh.cpp.

int mfem::Mesh::GetNumFineElems ( int i )

For a given coarse element i returns the number of subelements it is divided into.

Definition at line 7569 of file mesh.cpp.

int mfem::Mesh::GetNV ( ) const

inline

Returns number of vertices. Vertices are only at the corners of elements, where you would expect them in the lowest-order mesh.

Definition at line 451 of file mesh.hpp.

void mfem::Mesh::GetPointMatrix	(	int	i,
		DenseMatrix &	pointmat
	)		const

Definition at line 4418 of file mesh.cpp.

int mfem::Mesh::GetQuadOrientation	(	const int *	base,
		const int *	test
	)

staticprotected

Returns the orientation of "test" relative to "base".

Definition at line 3924 of file mesh.cpp.

int mfem::Mesh::GetRefinementType ( int i )

For a given coarse element i returns its refinement type.

Definition at line 7675 of file mesh.cpp.

int mfem::Mesh::GetState ( ) const

inline

Definition at line 778 of file mesh.hpp.

FiniteElement * mfem::Mesh::GetTransformationFEforElementType ( int ElemType )

static

Definition at line 157 of file mesh.cpp.

int mfem::Mesh::GetTriOrientation	(	const int *	base,
		const int *	test
	)

staticprotected

Returns the orientation of "test" relative to "base".

Definition at line 3880 of file mesh.cpp.

const double* mfem::Mesh::GetVertex ( int i ) const

inline

Return pointer to vertex i's coordinates.

Definition at line 479 of file mesh.hpp.

double* mfem::Mesh::GetVertex ( int i )

inline

Definition at line 480 of file mesh.hpp.

Table * mfem::Mesh::GetVertexToElementTable ( )

The returned Table must be destroyed by the caller.

Definition at line 4212 of file mesh.cpp.

void mfem::Mesh::GetVertexToVertexTable ( DSTable & v_to_v ) const

protected

Return vertex to vertex table. The connections stored in the table are from smaller to bigger vertex index, i.e. if i<j and (i, j) is in the table, then (j, i) is not stored.

Definition at line 4487 of file mesh.cpp.

void mfem::Mesh::GetVertices ( Vector & vert_coord ) const

Definition at line 5773 of file mesh.cpp.

void mfem::Mesh::GreenRefinement	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)

inlineprotected

Green refinement. Element with index i is refined. The default refinement for now is Bisection.

Definition at line 191 of file mesh.hpp.

void mfem::Mesh::HexUniformRefinement ( )

protectedvirtual

Refine hexahedral mesh.

Definition at line 6068 of file mesh.cpp.

void mfem::Mesh::Init ( )

protected

Definition at line 746 of file mesh.cpp.

void mfem::Mesh::InitFromNCMesh ( const NCMesh & ncmesh )

protected

Initialize vertices/elements/boundary/tables from a nonconforming mesh.

Definition at line 6741 of file mesh.cpp.

void mfem::Mesh::InitMesh	(	int	_Dim,
		int	_spaceDim,
		int	NVert,
		int	NElem,
		int	NBdrElem
	)

protected

Begin construction of a mesh.

Definition at line 827 of file mesh.cpp.

void mfem::Mesh::InitTables ( )

protected

Definition at line 758 of file mesh.cpp.

bool mfem::Mesh::IsSlaveFace ( const FaceInfo & fi )

protected

Definition at line 690 of file mesh.cpp.

void mfem::Mesh::KnotInsert ( Array< KnotVector * > & kv )

Definition at line 3468 of file mesh.cpp.

void mfem::Mesh::Load	(	std::istream &	input,
		int	generate_edges = `0`,
		int	refine = `1`,
		bool	fix_orientation = `true`
	)

Definition at line 2262 of file mesh.cpp.

void mfem::Mesh::LoadPatchTopo	(	std::istream &	input,
		Array< int > &	edge_to_knot
	)

protected

Read NURBS patch/macro-element mesh.

Definition at line 3582 of file mesh.cpp.

void mfem::Mesh::LocalRefinement	(	const Array< int > &	marked_el,
		int	type = `3`
	)

protectedvirtual

This function is not public anymore. Use GeneralRefinement instead.

Definition at line 6293 of file mesh.cpp.

void mfem::Mesh::Make1D	(	int	n,
		double	sx = `1.0`
	)

protected

Creates a 1D mesh for the interval [0,sx] divided into n equal intervals.

Definition at line 1987 of file mesh.cpp.

void mfem::Mesh::Make2D	(	int	nx,
		int	ny,
		Element::Type	type,
		int	generate_edges,
		double	sx,
		double	sy
	)

protected

Creates mesh for the rectangle [0,sx]x[0,sy], divided into nx*ny quadrilaterals if type = QUADRILATERAL or into 2*nx*ny triangles if type = TRIANGLE. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

Definition at line 1837 of file mesh.cpp.

void mfem::Mesh::Make3D	(	int	nx,
		int	ny,
		int	nz,
		Element::Type	type,
		int	generate_edges,
		double	sx,
		double	sy,
		double	sz
	)

protected

Creates mesh for the parallelepiped [0,sx]x[0,sy]x[0,sz], divided into nx*ny*nz hexahedrals if type=HEXAHEDRON or into 6*nx*ny*nz tetrahedrons if type=TETRAHEDRON. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

Definition at line 1649 of file mesh.cpp.

void mfem::Mesh::MarkForRefinement ( )

protected

Definition at line 1240 of file mesh.cpp.

void mfem::Mesh::MarkTetMeshForRefinement ( )

protected

Definition at line 1296 of file mesh.cpp.

void mfem::Mesh::MarkTriMeshForRefinement ( )

protected

Definition at line 1255 of file mesh.cpp.

int mfem::Mesh::MeshGenerator ( )

inline

Truegrid or NetGen?

Definition at line 447 of file mesh.hpp.

void mfem::Mesh::MesquiteSmooth ( const int mesquite_option = 0 )

Definition at line 1144 of file mesquite.cpp.

void mfem::Mesh::MoveNodes ( const Vector & displacements )

Definition at line 5832 of file mesh.cpp.

void mfem::Mesh::MoveVertices ( const Vector & displacements )

Definition at line 5764 of file mesh.cpp.

Element * mfem::Mesh::NewElement ( int geom )

Definition at line 2152 of file mesh.cpp.

void mfem::Mesh::NewNodes	(	GridFunction &	nodes,
		bool	make_owner = `false`
	)

Replace the internal node GridFunction with the given GridFunction.

Definition at line 5868 of file mesh.cpp.

void mfem::Mesh::NonconformingRefinement	(	const Array< Refinement > &	refinements,
		int	nc_limit = `0`
	)

protectedvirtual

This function is not public anymore. Use GeneralRefinement instead.

Definition at line 6674 of file mesh.cpp.

void mfem::Mesh::NURBSUniformRefinement ( )

protectedvirtual

Refine NURBS mesh.

Definition at line 3487 of file mesh.cpp.

void mfem::Mesh::PrepareNodeReorder	(	DSTable **	old_v_to_v,
		Table **	old_elem_vert
	)

protected

Definition at line 1322 of file mesh.cpp.

void mfem::Mesh::Print ( std::ostream & out = std::cout ) const

virtual

Print the mesh to the given stream using the default MFEM mesh format.

Reimplemented in mfem::ParMesh.

Definition at line 8332 of file mesh.cpp.

void mfem::Mesh::PrintCharacteristics	(	Vector *	Vh = `NULL`,
		Vector *	Vk = `NULL`,
		std::ostream &	out = `std::cout`
	)

Definition at line 86 of file mesh.cpp.

void mfem::Mesh::PrintElement	(	const Element *	el,
		std::ostream &	out
	)

staticprotected

Definition at line 2213 of file mesh.cpp.

void mfem::Mesh::PrintElementsWithPartitioning	(	int *	partitioning,
		std::ostream &	out,
		int	interior_faces = `0`
	)

Definition at line 8953 of file mesh.cpp.

void mfem::Mesh::PrintElementWithoutAttr	(	const Element *	el,
		std::ostream &	out
	)

staticprotected

Definition at line 2189 of file mesh.cpp.

virtual void mfem::Mesh::PrintInfo ( std::ostream & out = std::cout )

inlinevirtual

Reimplemented in mfem::ParMesh.

Definition at line 854 of file mesh.hpp.

void mfem::Mesh::PrintSurfaces	(	const Table &	Aface_face,
		std::ostream &	out
	)		const

Print set of disjoint surfaces:

If Aface_face(i,j) != 0, print face j as a boundary element with attribute i+1.

Definition at line 9327 of file mesh.cpp.

void mfem::Mesh::PrintTopo	(	std::ostream &	out,
		const Array< int > &	e_to_k
	)		const

protected

Definition at line 8406 of file mesh.cpp.

void mfem::Mesh::PrintVTK ( std::ostream & out )

Print the mesh in VTK format (linear and quadratic meshes only).

Definition at line 8448 of file mesh.cpp.

void mfem::Mesh::PrintVTK	(	std::ostream &	out,
		int	ref,
		int	field_data = `0`
	)

Print the mesh in VTK format. The parameter ref specifies an element subdivision number (useful for high order fields and curved meshes). If the optional field_data is set, we also add a FIELD section in the beginning of the file with additional dataset information.

Definition at line 8620 of file mesh.cpp.

void mfem::Mesh::PrintWithPartitioning	(	int *	partitioning,
		std::ostream &	out,
		int	elem_attr = `0`
	)		const

Prints the mesh with bdr elements given by the boundary of the subdomains, so that the boundary of subdomain i has bdr attribute i+1.

Definition at line 8843 of file mesh.cpp.

void mfem::Mesh::PrintXG ( std::ostream & out = std::cout ) const

virtual

Print the mesh to the given stream using Netgen/Truegrid format.

Reimplemented in mfem::ParMesh.

Definition at line 8168 of file mesh.cpp.

void mfem::Mesh::QuadUniformRefinement ( )

protectedvirtual

Refine quadrilateral mesh.

Definition at line 5919 of file mesh.cpp.

void mfem::Mesh::RandomRefinement	(	int	levels,
		int	frac = `2`,
		bool	aniso = `false`,
		int	nonconforming = `-1`,
		int	nc_limit = `-1`,
		int	seed = `0`
	)

Refine each element with 1/frac probability, repeat 'levels' times.

Definition at line 6938 of file mesh.cpp.

Element * mfem::Mesh::ReadElement ( std::istream & input )

protected

Definition at line 2201 of file mesh.cpp.

Element * mfem::Mesh::ReadElementWithoutAttr ( std::istream & input )

protected

Definition at line 2172 of file mesh.cpp.

void mfem::Mesh::RedRefinement	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)

inlineprotected

Red refinement. Element with index i is refined. The default red refinement for now is Uniform.

Definition at line 185 of file mesh.hpp.

void mfem::Mesh::RefineAtVertex	(	const Vertex &	vert,
		int	levels,
		double	eps = `0.0`,
		int	nonconforming = `-1`
	)

Refine elements sharing the specified vertex, 'levels' times.

Definition at line 6961 of file mesh.cpp.

void mfem::Mesh::RemoveInternalBoundaries ( )

Remove boundary elements that lie in the interior of the mesh, i.e. that have two adjacent faces in 3D, or edges in 2D.

Definition at line 9689 of file mesh.cpp.

void mfem::Mesh::RemoveUnusedVertices ( )

Remove unused vertices and rebuild mesh connectivity.

Definition at line 9580 of file mesh.cpp.

void mfem::Mesh::ReorderElements	(	const Array< int > &	ordering,
		bool	reorder_vertices = `true`
	)

Rebuilds the mesh with a different order of elements. The ordering vector maps the old element number to the new element number. This also reorders the vertices and nodes edges and faces along with the elements.

Definition at line 1094 of file mesh.cpp.

void mfem::Mesh::ReorientTetMesh ( )

virtual

This method modifies a tetrahedral mesh so that Nedelec spaces of order greater than 1 can be defined on the mesh. Specifically, we 1) rotate all tets in the mesh so that the vertices {v0, v1, v2, v3} satisfy: v0 < v1 < min(v2, v3). 2) rotate all boundary triangles so that the vertices {v0, v1, v2} satisfy: v0 < min(v1, v2).

Note: refinement does not work after a call to this method!

Reimplemented in mfem::ParMesh.

Definition at line 4914 of file mesh.cpp.

void mfem::Mesh::Rotate3	(	int &	a,
		int &	b,
		int &	c
	)

inlinestaticprotected

Definition at line 899 of file mesh.hpp.

void mfem::Mesh::ScaleElements ( double sf )

Definition at line 9461 of file mesh.cpp.

void mfem::Mesh::ScaleSubdomains ( double sf )

Definition at line 9391 of file mesh.cpp.

void mfem::Mesh::SetAttributes ( )

Definition at line 796 of file mesh.cpp.

void mfem::Mesh::SetCurvature	(	int	order,
		bool	discont = `false`,
		int	space_dim = `-1`,
		int	ordering = `1`
	)

Set the curvature of the mesh nodes using the given polynomial degree, 'order', and optionally: discontinuous or continuous FE space, 'discont', new space dimension, 'space_dim' (if != -1), and 'ordering'.

Definition at line 3736 of file mesh.cpp.

void mfem::Mesh::SetMeshGen ( )

protected

Definition at line 2219 of file mesh.cpp.

void mfem::Mesh::SetNodalFESpace ( FiniteElementSpace * nfes )

Replace the internal node GridFunction with a new GridFunction defined on the given FiniteElementSpace. The new node coordinates are projected (derived) from the current nodes/vertices.

Definition at line 3719 of file mesh.cpp.

void mfem::Mesh::SetNodalGridFunction	(	GridFunction *	nodes,
		bool	make_owner = `false`
	)

Replace the internal node GridFunction with the given GridFunction. The given GridFunction is updated with node coordinates projected (derived) from the current nodes/vertices.

Definition at line 3725 of file mesh.cpp.

void mfem::Mesh::SetNode	(	int	i,
		const double *	coord
	)

Definition at line 5812 of file mesh.cpp.

void mfem::Mesh::SetNodes ( const Vector & node_coord )

Definition at line 5856 of file mesh.cpp.

void mfem::Mesh::SetState ( int s )

Change the mesh state to NORMAL, TWO_LEVEL_COARSE, TWO_LEVEL_FINE.

Definition at line 7397 of file mesh.cpp.

void mfem::Mesh::SetVertices ( const Vector & vert_coord )

Definition at line 5784 of file mesh.cpp.

void mfem::Mesh::ShiftL2R	(	int &	a,
		int &	b,
		int &	c
	)

inlinestaticprotected

Definition at line 893 of file mesh.hpp.

int mfem::Mesh::SpaceDimension ( ) const

inline

Definition at line 476 of file mesh.hpp.

void mfem::Mesh::Swap	(	Mesh &	other,
		bool	non_geometry = `false`
	)

protected

Swaps internal data with another mesh. By default, non-geometry members like 'ncmesh' and 'NURBSExt' are only swapped when 'non_geometry' is set.

Definition at line 6783 of file mesh.cpp.

void mfem::Mesh::SwapNodes	(	GridFunction *&	nodes,
		int &	own_nodes_
	)

Swap the internal node GridFunction pointer and ownership flag members with the given ones.

Definition at line 5882 of file mesh.cpp.

void mfem::Mesh::Transform ( void(*)(const Vector &, Vector &) f )

Definition at line 9531 of file mesh.cpp.

void mfem::Mesh::Transform ( VectorCoefficient & deformation )

Definition at line 9556 of file mesh.cpp.

void mfem::Mesh::UniformRefinement	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)

protected

Uniform Refinement. Element with index i is refined uniformly.

Definition at line 7316 of file mesh.cpp.

void mfem::Mesh::UniformRefinement ( )

Refine all mesh elements.

Definition at line 6827 of file mesh.cpp.

void mfem::Mesh::UpdateNodes ( )

protected

Update the nodes of a curved mesh after refinement.

Definition at line 5913 of file mesh.cpp.

void mfem::Mesh::UpdateNURBS ( )

protected

Definition at line 3519 of file mesh.cpp.

void mfem::Mesh::UseTwoLevelState ( int use )

inline

Sets or clears the flag that indicates that mesh refinement methods should put the mesh in two-level state.

Definition at line 766 of file mesh.hpp.

Friends And Related Function Documentation

friend class NURBSExtension

friend

Definition at line 47 of file mesh.hpp.

friend class ParMesh

friend

Definition at line 44 of file mesh.hpp.

friend class ParNCMesh

friend

Definition at line 45 of file mesh.hpp.

friend class Tetrahedron

friend

Definition at line 132 of file mesh.hpp.

Member Data Documentation

Array<int> mfem::Mesh::attributes

Definition at line 139 of file mesh.hpp.

Array<int> mfem::Mesh::bdr_attributes

Definition at line 140 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_edge

protected

Definition at line 100 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_face

protected

Definition at line 102 of file mesh.hpp.

Table* mfem::Mesh::bel_to_edge

protected

Definition at line 101 of file mesh.hpp.

MemAlloc<BisectedElement, 1024> mfem::Mesh::BEMemory

protected

Definition at line 135 of file mesh.hpp.

Array<Element *> mfem::Mesh::boundary

protected

Definition at line 70 of file mesh.hpp.

Table * mfem::Mesh::c_bel_to_edge

protected

Definition at line 106 of file mesh.hpp.

Table* mfem::Mesh::c_el_to_edge

protected

Definition at line 106 of file mesh.hpp.

Table* mfem::Mesh::c_el_to_face

protected

Definition at line 108 of file mesh.hpp.

int mfem::Mesh::c_NumOfBdrElements

protected

Definition at line 61 of file mesh.hpp.

int mfem::Mesh::c_NumOfEdges

protected

Definition at line 63 of file mesh.hpp.

int mfem::Mesh::c_NumOfElements

protected

Definition at line 61 of file mesh.hpp.

int mfem::Mesh::c_NumOfFaces

protected

Definition at line 63 of file mesh.hpp.

int mfem::Mesh::c_NumOfVertices

protected

Definition at line 61 of file mesh.hpp.

int mfem::Mesh::Dim

protected

Definition at line 50 of file mesh.hpp.

Table* mfem::Mesh::edge_vertex

mutableprotected

Definition at line 104 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::EdgeTransformation

protected

Definition at line 112 of file mesh.hpp.

Table* mfem::Mesh::el_to_edge

protected

Definition at line 97 of file mesh.hpp.

Table* mfem::Mesh::el_to_el

protected

Definition at line 99 of file mesh.hpp.

Table* mfem::Mesh::el_to_face

protected

Definition at line 98 of file mesh.hpp.

Array<Element *> mfem::Mesh::elements

protected

Definition at line 66 of file mesh.hpp.

Table * mfem::Mesh::f_bel_to_edge

protected

Definition at line 106 of file mesh.hpp.

Table * mfem::Mesh::f_el_to_edge

protected

Definition at line 106 of file mesh.hpp.

Table * mfem::Mesh::f_el_to_face

protected

Definition at line 108 of file mesh.hpp.

int mfem::Mesh::f_NumOfBdrElements

protected

Definition at line 62 of file mesh.hpp.

int mfem::Mesh::f_NumOfEdges

protected

Definition at line 64 of file mesh.hpp.

int mfem::Mesh::f_NumOfElements

protected

Definition at line 62 of file mesh.hpp.

int mfem::Mesh::f_NumOfFaces

protected

Definition at line 64 of file mesh.hpp.

int mfem::Mesh::f_NumOfVertices

protected

Definition at line 62 of file mesh.hpp.

Table* mfem::Mesh::face_edge

mutableprotected

Definition at line 103 of file mesh.hpp.

FaceElementTransformations mfem::Mesh::FaceElemTr

protected

Definition at line 113 of file mesh.hpp.

Array<Element *> mfem::Mesh::faces

protected

Definition at line 71 of file mesh.hpp.

Array<FaceInfo> mfem::Mesh::faces_info

protected

Definition at line 94 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::FaceTransformation

protected

Definition at line 112 of file mesh.hpp.

Array<int> mfem::Mesh::fc_be_to_edge

protected

Definition at line 107 of file mesh.hpp.

Array<FaceInfo> mfem::Mesh::fc_faces_info

protected

Definition at line 109 of file mesh.hpp.

const int mfem::Mesh::hex_faces

staticprotected

Initial value:

=
{
   {3, 2, 1, 0}, {0, 1, 5, 4},
   {1, 2, 6, 5}, {2, 3, 7, 6},
   {3, 0, 4, 7}, {4, 5, 6, 7}
}

Definition at line 126 of file mesh.hpp.

int mfem::Mesh::meshgen

protected

Definition at line 59 of file mesh.hpp.

Mesh* mfem::Mesh::nc_coarse_level

protected

Definition at line 123 of file mesh.hpp.

Array<NCFaceInfo> mfem::Mesh::nc_faces_info

protected

Definition at line 95 of file mesh.hpp.

NCMesh* mfem::Mesh::ncmesh

Definition at line 143 of file mesh.hpp.

GridFunction* mfem::Mesh::Nodes

protected

Definition at line 118 of file mesh.hpp.

int mfem::Mesh::NumOfBdrElements

protected

Definition at line 53 of file mesh.hpp.

int mfem::Mesh::NumOfEdges

protected

Definition at line 54 of file mesh.hpp.

int mfem::Mesh::NumOfElements

protected

Definition at line 53 of file mesh.hpp.

int mfem::Mesh::NumOfFaces

protected

Definition at line 54 of file mesh.hpp.

int mfem::Mesh::NumOfVertices

protected

Definition at line 53 of file mesh.hpp.

NURBSExtension* mfem::Mesh::NURBSext

Definition at line 142 of file mesh.hpp.

int mfem::Mesh::own_nodes

protected

Definition at line 119 of file mesh.hpp.

const int mfem::Mesh::quad_orientations

staticprotected

Initial value:

=
{
   {0, 1, 2, 3}, {0, 3, 2, 1},
   {1, 2, 3, 0}, {1, 0, 3, 2},
   {2, 3, 0, 1}, {2, 1, 0, 3},
   {3, 0, 1, 2}, {3, 2, 1, 0}
}

Definition at line 129 of file mesh.hpp.

int mfem::Mesh::spaceDim

protected

Definition at line 51 of file mesh.hpp.

int mfem::Mesh::State

protected

Definition at line 56 of file mesh.hpp.

const int mfem::Mesh::tet_faces

staticprotected

Initial value:

=
{
   {1, 2, 3}, {0, 3, 2},
   {0, 1, 3}, {0, 2, 1}
}

Definition at line 125 of file mesh.hpp.

MemAlloc<Tetrahedron, 1024> mfem::Mesh::TetMemory

protected

Definition at line 134 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation

protected

Definition at line 111 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation2

protected

Definition at line 111 of file mesh.hpp.

const int mfem::Mesh::tri_orientations

staticprotected

Initial value:

=
{
   {0, 1, 2}, {1, 0, 2},
   {2, 0, 1}, {2, 1, 0},
   {1, 2, 0}, {0, 2, 1}
}

Definition at line 128 of file mesh.hpp.

Array<Vertex> mfem::Mesh::vertices

protected

Definition at line 69 of file mesh.hpp.

int mfem::Mesh::WantTwoLevelState

protected

Definition at line 56 of file mesh.hpp.

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

Classes

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Friends

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation