#include <mesh.hpp>

Inheritance diagram for mfem::Mesh:

Collaboration diagram for mfem::Mesh:

Classes
struct	FaceInfo

struct	NCFaceInfo

Public Types
enum	Operation { NONE, REFINE, DEREFINE, REBALANCE }

typedef Geometry::Constants < Geometry::SEGMENT >	seg_t

typedef Geometry::Constants < Geometry::TRIANGLE >	tri_t

typedef Geometry::Constants < Geometry::SQUARE >	quad_t

typedef Geometry::Constants < Geometry::TETRAHEDRON >	tet_t

typedef Geometry::Constants < Geometry::CUBE >	hex_t

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 (const char *filename, int generate_edges=0, int refine=1, bool fix_orientation=true)

	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 ()

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...

virtual long	ReduceInt (int value) const
	Utility function: sum integers from all processors (Allreduce). More...

long	GetGlobalNE () const
	Return the total (global) number of elements. 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)
	Return pointer to vertex i's coordinates. More...

const Element const	GetElementsArray () const

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=0) const

int	GetBdrElementBaseGeometry (int i=0) 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

void	GetBdrElementAdjacentElement (int bdr_el, int &el, int &info) const
	For the given boundary element, bdr_el, return its adjacent element and its info, i.e. 64*local_bdr_index+bdr_orientation. More...

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)

int	GetFaceGeometryType (int Face) const

int	GetFaceElementType (int Face) const

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...

const GridFunction *	GetNodes () const

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 () const

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	RandomRefinement (double prob, bool aniso=false, int nonconforming=-1, int nc_limit=0)
	Refine each element with given probability. Uses GeneralRefinement. More...

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

bool	RefineByError (const Array< double > &elem_error, double threshold, int nonconforming=-1, int nc_limit=0)

bool	RefineByError (const Vector &elem_error, double threshold, int nonconforming=-1, int nc_limit=0)

bool	DerefineByError (Array< double > &elem_error, double threshold, int nc_limit=0, int op=1)

bool	DerefineByError (const Vector &elem_error, double threshold, int nc_limit=0, int op=1)
	Same as DerefineByError for an error vector. More...

void	KnotInsert (Array< KnotVector * > &kv)

void	DegreeElevate (int t)

void	EnsureNCMesh (bool triangles_nonconforming=false)

bool	Conforming () const

bool	Nonconforming () const

const CoarseFineTransformations &	GetRefinementTransforms ()

Operation	GetLastOperation () const
	Return type of last modification of the mesh. More...

long	GetSequence () const

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	GetBoundingBox (Vector &min, Vector &max, int ref=2)

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 ()

Element *	ReadElementWithoutAttr (std::istream &)

Element *	ReadElement (std::istream &)

void	ReadMFEMMesh (std::istream &input, bool mfem_v11, int &curved)

void	ReadLineMesh (std::istream &input)

void	ReadNetgen2DMesh (std::istream &input, int &curved)

void	ReadNetgen3DMesh (std::istream &input)

void	ReadTrueGridMesh (std::istream &input)

void	ReadVTKMesh (std::istream &input, int &curved, int &read_gf)

void	ReadNURBSMesh (std::istream &input, int &curved, int &read_gf)

void	ReadInlineMesh (std::istream &input, int generate_edges=0)

void	ReadGmshMesh (std::istream &input)

void	ReadCubit (named_ifstream &input, int &curved, int &read_gf)

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	InitRefinementTransforms ()

int	FindCoarseElement (int i)

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...

virtual bool	NonconformingDerefinement (Array< double > &elem_error, double threshold, int nc_limit=0, int op=1)
	NC version of GeneralDerefinement. More...

void	DerefineMesh (const Array< int > &derefinements)
	Derefine elements once a list of derefinements is known. 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	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	GetLocalFaceTransformation (int face_type, int elem_type, IsoparametricTransformation &Transf, int inf)
	Used in GetFaceElementTransformations (...) More...

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

bool	IsSlaveFace (const FaceInfo &fi) const

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	InitBaseGeom ()

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 void	skip_comment_lines (std::istream &is, const char comment_char)

static void	filter_dos (std::string &line)

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	BaseGeom

int	BaseBdrGeom

int	meshgen

long	sequence

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

IsoparametricTransformation	Transformation

IsoparametricTransformation	Transformation2

IsoparametricTransformation	FaceTransformation

IsoparametricTransformation	EdgeTransformation

FaceElementTransformations	FaceElemTr

CoarseFineTransformations	CoarseFineTr

GridFunction *	Nodes

int	own_nodes

MemAlloc< Tetrahedron, 1024 >	TetMemory

Operation	last_operation

Static Protected Attributes
static const int	vtk_quadratic_tet [10]

static const int	vtk_quadratic_hex [27]

Friends
class	ParMesh

class	ParNCMesh

class	NURBSExtension

class	Tetrahedron

Detailed Description

Definition at line 45 of file mesh.hpp.

Member Typedef Documentation

typedef Geometry::Constants<Geometry::CUBE> mfem::Mesh::hex_t

Definition at line 136 of file mesh.hpp.

typedef Geometry::Constants<Geometry::SQUARE> mfem::Mesh::quad_t

Definition at line 134 of file mesh.hpp.

typedef Geometry::Constants<Geometry::SEGMENT> mfem::Mesh::seg_t

Definition at line 132 of file mesh.hpp.

typedef Geometry::Constants<Geometry::TETRAHEDRON> mfem::Mesh::tet_t

Definition at line 135 of file mesh.hpp.

typedef Geometry::Constants<Geometry::TRIANGLE> mfem::Mesh::tri_t

Definition at line 133 of file mesh.hpp.

Member Enumeration Documentation

enum mfem::Mesh::Operation

Enumerator
NONE
REFINE
DEREFINE
REBALANCE

Definition at line 138 of file mesh.hpp.

Constructor & Destructor Documentation

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

protected

Create from a nonconforming mesh.

Definition at line 5914 of file mesh.cpp.

mfem::Mesh::Mesh ( )

inline

Definition at line 380 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. If 'copy_nodes' is false, use a shallow (pointer) copy for the nodes, if present.

Definition at line 2057 of file mesh.cpp.

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

inline

Definition at line 388 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 442 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 452 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 459 of file mesh.hpp.

mfem::Mesh::Mesh	(	const char *	filename,
		int	generate_edges = `0`,
		int	refine = `1`,
		bool	fix_orientation = `true`
	)

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

Definition at line 2164 of file mesh.cpp.

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 2185 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 2568 of file mesh.cpp.

mfem::Mesh::~Mesh ( )

virtual

Destroys mesh.

Definition at line 8202 of file mesh.cpp.

Member Function Documentation

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

inline

Definition at line 408 of file mesh.hpp.

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

Definition at line 915 of file mesh.cpp.

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

Definition at line 920 of file mesh.cpp.

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

Definition at line 905 of file mesh.cpp.

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

Definition at line 910 of file mesh.cpp.

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

inline

Definition at line 407 of file mesh.hpp.

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

Definition at line 881 of file mesh.cpp.

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

Definition at line 886 of file mesh.cpp.

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

protected

Used in GenerateFaces()

Definition at line 3871 of file mesh.cpp.

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

Definition at line 863 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 3939 of file mesh.cpp.

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

protected

Definition at line 3888 of file mesh.cpp.

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

Definition at line 868 of file mesh.cpp.

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

Definition at line 853 of file mesh.cpp.

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

Definition at line 858 of file mesh.cpp.

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

protected

Definition at line 3918 of file mesh.cpp.

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

Definition at line 842 of file mesh.cpp.

void mfem::Mesh::ApplyLocalSlaveTransformation	(	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 673 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 5162 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 6159 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 6366 of file mesh.cpp.

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

Definition at line 4293 of file mesh.cpp.

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

Check the orientation of the boundary elements.

Definition at line 3260 of file mesh.cpp.

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

Definition at line 4957 of file mesh.cpp.

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

Check the orientation of the elements.

Definition at line 3054 of file mesh.cpp.

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

Definition at line 4639 of file mesh.cpp.

bool mfem::Mesh::Conforming ( ) const

inline

Definition at line 857 of file mesh.hpp.

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

Definition at line 2779 of file mesh.cpp.

void mfem::Mesh::DeleteTables ( )

protected

Definition at line 751 of file mesh.cpp.

bool mfem::Mesh::DerefineByError	(	Array< double > &	elem_error,
		double	threshold,
		int	nc_limit = `0`,
		int	op = `1`
	)

Derefine the mesh based on an error measure associated with each element. A derefinement is performed if the sum of errors of its fine elements is smaller than 'threshold'. If 'nc_limit' > 0, derefinements that would increase the maximum level of hanging nodes of the mesh are skipped. Returns true if the mesh changed, false otherwise.

Definition at line 5835 of file mesh.cpp.

bool mfem::Mesh::DerefineByError	(	const Vector &	elem_error,
		double	threshold,
		int	nc_limit = `0`,
		int	op = `1`
	)

Same as DerefineByError for an error vector.

Definition at line 5852 of file mesh.cpp.

void mfem::Mesh::DerefineMesh ( const Array< int > & derefinements )

protected

Derefine elements once a list of derefinements is known.

Definition at line 5764 of file mesh.cpp.

int mfem::Mesh::Dimension ( ) const

inline

Definition at line 523 of file mesh.hpp.

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

protected

Definition at line 1368 of file mesh.cpp.

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

Definition at line 3862 of file mesh.cpp.

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

Definition at line 3823 of file mesh.cpp.

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

Definition at line 3853 of file mesh.cpp.

void mfem::Mesh::EnsureNCMesh ( bool triangles_nonconforming = false )

Make sure that a quad/hex mesh is considered to be non-conforming (i.e., has an associated NCMesh object). Triangles meshes can be both conforming (default) or non-conforming.

Definition at line 6068 of file mesh.cpp.

int mfem::Mesh::EulerNumber ( ) const

inline

Equals 1 + num_holes - num_loops.

Definition at line 517 of file mesh.hpp.

int mfem::Mesh::EulerNumber2D ( ) const

inline

Equals 1 - num_holes.

Definition at line 520 of file mesh.hpp.

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

inline

Return true if the given face is interior.

Definition at line 700 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 331 of file mesh.hpp.

static void mfem::Mesh::filter_dos ( std::string & line )

inlinestaticprotected

Definition at line 187 of file mesh.hpp.

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

Definition at line 1627 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 1586 of file mesh.cpp.

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

Definition at line 989 of file mesh.cpp.

int mfem::Mesh::FindCoarseElement ( int i )

protected

Definition at line 6504 of file mesh.cpp.

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

protected

Definition at line 8183 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 nonconforming = 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 6003 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 6057 of file mesh.cpp.

void mfem::Mesh::GenerateBoundaryElements ( )

Definition at line 935 of file mesh.cpp.

void mfem::Mesh::GenerateFaces ( )

protected

Definition at line 3960 of file mesh.cpp.

void mfem::Mesh::GenerateNCFaceInfo ( )

protected

Definition at line 4029 of file mesh.cpp.

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

Definition at line 4338 of file mesh.cpp.

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

inline

Return the attribute of element i.

Definition at line 716 of file mesh.hpp.

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

inline

Return the attribute of boundary element i.

Definition at line 719 of file mesh.hpp.

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

inline

Definition at line 543 of file mesh.hpp.

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

inline

Definition at line 545 of file mesh.hpp.

void mfem::Mesh::GetBdrElementAdjacentElement	(	int	bdr_el,
		int &	el,
		int &	info
	)		const

For the given boundary element, bdr_el, return its adjacent element and its info, i.e. 64*local_bdr_index+bdr_orientation.

Definition at line 3660 of file mesh.cpp.

int mfem::Mesh::GetBdrElementBaseGeometry ( int i = 0 ) const

inline

Definition at line 554 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 3648 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 3372 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 3603 of file mesh.cpp.

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

Returns the transformation defining the i-th boundary element.

Definition at line 310 of file mesh.cpp.

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

Definition at line 316 of file mesh.cpp.

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

Returns the type of boundary element i.

Definition at line 3685 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 562 of file mesh.hpp.

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

Definition at line 686 of file mesh.cpp.

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

Definition at line 3706 of file mesh.cpp.

void mfem::Mesh::GetBoundingBox	(	Vector &	min,
		Vector &	max,
		int	ref = `2`
	)

Returns the minimum and maximum corners of the mesh bounding box. For high-order meshes, the geometry is refined first "ref" times.

Definition at line 87 of file mesh.cpp.

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

protected

Definition at line 1274 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 412 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 467 of file mesh.cpp.

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

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

Definition at line 3470 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 3434 of file mesh.cpp.

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

inline

Definition at line 539 of file mesh.hpp.

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

inline

Definition at line 541 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 3737 of file mesh.cpp.

int mfem::Mesh::GetElementBaseGeometry ( int i = 0 ) const

inline

Definition at line 551 of file mesh.hpp.

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

Definition at line 7174 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 3350 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 3565 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.

const Element* const* mfem::Mesh::GetElementsArray ( ) const

inline

Definition at line 536 of file mesh.hpp.

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 3784 of file mesh.cpp.

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

protected

Definition at line 4111 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 237 of file mesh.cpp.

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

Returns the transformation defining the i-th element.

Definition at line 303 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 265 of file mesh.cpp.

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

Returns the type of element i.

Definition at line 3680 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 558 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 547 of file mesh.hpp.

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

Definition at line 3626 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 3404 of file mesh.cpp.

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

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

Definition at line 3442 of file mesh.cpp.

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

Definition at line 712 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 603 of file mesh.cpp.

int mfem::Mesh::GetFaceElementType ( int Face ) const

Definition at line 729 of file mesh.cpp.

int mfem::Mesh::GetFaceGeometryType ( int Face ) const

Definition at line 724 of file mesh.cpp.

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

Definition at line 718 of file mesh.cpp.

STable3D * mfem::Mesh::GetFacesTable ( )

protected

Definition at line 4076 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 3531 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 344 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 406 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 576 of file mesh.hpp.

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 1052 of file mesh.cpp.

long mfem::Mesh::GetGlobalNE ( ) const

inline

Return the total (global) number of elements.

Definition at line 514 of file mesh.hpp.

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

inline

Definition at line 691 of file mesh.hpp.

Operation mfem::Mesh::GetLastOperation ( ) const

inline

Return type of last modification of the mesh.

Definition at line 865 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 3722 of file mesh.cpp.

void mfem::Mesh::GetLocalFaceTransformation	(	int	face_type,
		int	elem_type,
		IsoparametricTransformation &	Transf,
		int	inf
	)

protected

Used in GetFaceElementTransformations (...)

Definition at line 570 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 474 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 549 of file mesh.cpp.

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

protected

Definition at line 507 of file mesh.cpp.

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

protected

Definition at line 488 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 526 of file mesh.cpp.

int mfem::Mesh::GetNBE ( ) const

inline

Returns number of boundary elements.

Definition at line 499 of file mesh.hpp.

int mfem::Mesh::GetNE ( ) const

inline

Returns number of elements.

Definition at line 496 of file mesh.hpp.

int mfem::Mesh::GetNEdges ( ) const

inline

Return the number of edges.

Definition at line 502 of file mesh.hpp.

int mfem::Mesh::GetNFaces ( ) const

inline

Return the number of faces in a 3D mesh.

Definition at line 505 of file mesh.hpp.

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

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

Definition at line 3015 of file mesh.cpp.

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

Definition at line 5063 of file mesh.cpp.

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

Definition at line 5114 of file mesh.cpp.

GridFunction* mfem::Mesh::GetNodes ( )

inline

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

Definition at line 771 of file mesh.hpp.

const GridFunction* mfem::Mesh::GetNodes ( ) const

inline

Definition at line 772 of file mesh.hpp.

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

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

Definition at line 2989 of file mesh.cpp.

int mfem::Mesh::GetNumFaces ( ) const

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

Definition at line 3039 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 493 of file mesh.hpp.

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

Definition at line 3690 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 3212 of file mesh.cpp.

const CoarseFineTransformations & mfem::Mesh::GetRefinementTransforms ( )

Return fine element transformations following a mesh refinement. Space uses this to construct a global interpolation matrix.

Definition at line 6514 of file mesh.cpp.

long mfem::Mesh::GetSequence ( ) const

inline

Return update counter. The counter starts at zero and is incremented each time refinement, derefinement, or rebalancing method is called. It is used for checking proper sequence of Space:: and GridFunction:: Update() calls.

Definition at line 871 of file mesh.hpp.

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

static

Definition at line 221 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 3164 of file mesh.cpp.

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

inline

Return pointer to vertex i's coordinates.

Warning: For high-order meshes (when Nodes != NULL) vertices may not being updated and should not be used!

Definition at line 529 of file mesh.hpp.

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

inline

Return pointer to vertex i's coordinates.

Warning: For high-order meshes (when Nodes != NULL) vertices may not being updated and should not be used!

Definition at line 534 of file mesh.hpp.

Table * mfem::Mesh::GetVertexToElementTable ( )

The returned Table must be destroyed by the caller.

Definition at line 3496 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 3759 of file mesh.cpp.

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

Definition at line 5043 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 221 of file mesh.hpp.

void mfem::Mesh::HexUniformRefinement ( )

protectedvirtual

Refine hexahedral mesh.

Reimplemented in mfem::ParMesh.

Definition at line 5294 of file mesh.cpp.

void mfem::Mesh::Init ( )

protected

Definition at line 734 of file mesh.cpp.

void mfem::Mesh::InitBaseGeom ( )

protected

Definition at line 819 of file mesh.cpp.

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

protected

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

Definition at line 5864 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 799 of file mesh.cpp.

void mfem::Mesh::InitRefinementTransforms ( )

protected

Definition at line 6492 of file mesh.cpp.

void mfem::Mesh::InitTables ( )

protected

Definition at line 745 of file mesh.cpp.

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

protected

Definition at line 668 of file mesh.cpp.

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

Definition at line 2747 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 2279 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 2864 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.

Reimplemented in mfem::ParMesh.

Definition at line 5459 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 2008 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 1847 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 1659 of file mesh.cpp.

void mfem::Mesh::MarkForRefinement ( )

protected

Definition at line 1244 of file mesh.cpp.

void mfem::Mesh::MarkTetMeshForRefinement ( )

protected

Definition at line 1300 of file mesh.cpp.

void mfem::Mesh::MarkTriMeshForRefinement ( )

protected

Definition at line 1259 of file mesh.cpp.

int mfem::Mesh::MeshGenerator ( )

inline

Return a bitmask: bit 0 - simplices are present in the mesh (triangles, tets), bit 1 - tensor product elements are present in the mesh (quads, hexes).

Definition at line 489 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 5102 of file mesh.cpp.

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

Definition at line 5034 of file mesh.cpp.

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

Definition at line 2193 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 5138 of file mesh.cpp.

bool mfem::Mesh::Nonconforming ( ) const

inline

Definition at line 858 of file mesh.hpp.

bool mfem::Mesh::NonconformingDerefinement	(	Array< double > &	elem_error,
		double	threshold,
		int	nc_limit = `0`,
		int	op = `1`
	)

protectedvirtual

NC version of GeneralDerefinement.

Reimplemented in mfem::ParMesh.

Definition at line 5790 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.

Reimplemented in mfem::ParMesh.

Definition at line 5716 of file mesh.cpp.

void mfem::Mesh::NURBSUniformRefinement ( )

protectedvirtual

Refine NURBS mesh.

Reimplemented in mfem::ParMesh.

Definition at line 2766 of file mesh.cpp.

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

protected

Definition at line 1326 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 6736 of file mesh.cpp.

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

Definition at line 150 of file mesh.cpp.

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

staticprotected

Definition at line 2254 of file mesh.cpp.

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

Definition at line 7360 of file mesh.cpp.

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

staticprotected

Definition at line 2230 of file mesh.cpp.

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

inlinevirtual

Reimplemented in mfem::ParMesh.

Definition at line 935 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 7734 of file mesh.cpp.

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

protected

Definition at line 6811 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 6853 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 > 0 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 7026 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 7249 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 6572 of file mesh.cpp.

void mfem::Mesh::QuadUniformRefinement ( )

protectedvirtual

Refine quadrilateral mesh.

Reimplemented in mfem::ParMesh.

Definition at line 5192 of file mesh.cpp.

void mfem::Mesh::RandomRefinement	(	double	prob,
		bool	aniso = `false`,
		int	nonconforming = `-1`,
		int	nc_limit = `0`
	)

Refine each element with given probability. Uses GeneralRefinement.

Definition at line 6085 of file mesh.cpp.

void mfem::Mesh::ReadCubit	(	named_ifstream &	input,
		int &	curved,
		int &	read_gf
	)

protected

Definition at line 1265 of file mesh_readers.cpp.

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

protected

Definition at line 2242 of file mesh.cpp.

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

protected

Definition at line 2213 of file mesh.cpp.

void mfem::Mesh::ReadGmshMesh ( std::istream & input )

protected

Definition at line 856 of file mesh_readers.cpp.

void mfem::Mesh::ReadInlineMesh	(	std::istream &	input,
		int	generate_edges = `0`
	)

protected

Definition at line 704 of file mesh_readers.cpp.

void mfem::Mesh::ReadLineMesh ( std::istream & input )

protected

Definition at line 108 of file mesh_readers.cpp.

void mfem::Mesh::ReadMFEMMesh	(	std::istream &	input,
		bool	mfem_v11,
		int &	curved
	)

protected

Definition at line 26 of file mesh_readers.cpp.

void mfem::Mesh::ReadNetgen2DMesh	(	std::istream &	input,
		int &	curved
	)

protected

Definition at line 142 of file mesh_readers.cpp.

void mfem::Mesh::ReadNetgen3DMesh ( std::istream & input )

protected

Definition at line 204 of file mesh_readers.cpp.

void mfem::Mesh::ReadNURBSMesh	(	std::istream &	input,
		int &	curved,
		int &	read_gf
	)

protected

Definition at line 663 of file mesh_readers.cpp.

void mfem::Mesh::ReadTrueGridMesh ( std::istream & input )

protected

Definition at line 258 of file mesh_readers.cpp.

void mfem::Mesh::ReadVTKMesh	(	std::istream &	input,
		int &	curved,
		int &	read_gf
	)

protected

Definition at line 362 of file mesh_readers.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 215 of file mesh.hpp.

virtual long mfem::Mesh::ReduceInt ( int value ) const

inlinevirtual

Utility function: sum integers from all processors (Allreduce).

Reimplemented in mfem::ParMesh.

Definition at line 511 of file mesh.hpp.

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

Refine elements sharing the specified vertex. Uses GeneralRefinement.

Definition at line 6104 of file mesh.cpp.

bool mfem::Mesh::RefineByError	(	const Array< double > &	elem_error,
		double	threshold,
		int	nonconforming = `-1`,
		int	nc_limit = `0`
	)

Refine element i if elem_error[i] > threshold, for all i. Returns true if at least one element was refined, false otherwise.

Definition at line 6130 of file mesh.cpp.

bool mfem::Mesh::RefineByError	(	const Vector &	elem_error,
		double	threshold,
		int	nonconforming = `-1`,
		int	nc_limit = `0`
	)

Refine element i if elem_error(i) > threshold, for all i. Returns true if at least one element was refined, false otherwise.

Definition at line 6150 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 8095 of file mesh.cpp.

void mfem::Mesh::RemoveUnusedVertices ( )

Remove unused vertices and rebuild mesh connectivity.

Definition at line 7988 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 1097 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 4184 of file mesh.cpp.

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

inlinestaticprotected

Definition at line 991 of file mesh.hpp.

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

Definition at line 7869 of file mesh.cpp.

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

Definition at line 7799 of file mesh.cpp.

void mfem::Mesh::SetAttributes ( )

Definition at line 768 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 3020 of file mesh.cpp.

void mfem::Mesh::SetMeshGen ( )

protected

Definition at line 2260 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 3003 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 3009 of file mesh.cpp.

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

Definition at line 5082 of file mesh.cpp.

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

Definition at line 5126 of file mesh.cpp.

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

Definition at line 5054 of file mesh.cpp.

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

inlinestaticprotected

Definition at line 985 of file mesh.hpp.

static void mfem::Mesh::skip_comment_lines	(	std::istream &	is,
		const char	comment_char
	)

inlinestaticprotected

Definition at line 177 of file mesh.hpp.

int mfem::Mesh::SpaceDimension ( ) const

inline

Definition at line 524 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 5922 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 5152 of file mesh.cpp.

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

Definition at line 7939 of file mesh.cpp.

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

Definition at line 7964 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 6402 of file mesh.cpp.

void mfem::Mesh::UniformRefinement ( )

Refine all mesh elements.

Definition at line 5964 of file mesh.cpp.

void mfem::Mesh::UpdateNodes ( )

protected

Update the nodes of a curved mesh after refinement.

Definition at line 5183 of file mesh.cpp.

void mfem::Mesh::UpdateNURBS ( )

protected

Definition at line 2801 of file mesh.cpp.

Friends And Related Function Documentation

friend class NURBSExtension

friend

Definition at line 51 of file mesh.hpp.

friend class ParMesh

friend

Definition at line 48 of file mesh.hpp.

friend class ParNCMesh

friend

Definition at line 49 of file mesh.hpp.

friend class Tetrahedron

friend

Definition at line 127 of file mesh.hpp.

Member Data Documentation

Array<int> mfem::Mesh::attributes

Definition at line 140 of file mesh.hpp.

int mfem::Mesh::BaseBdrGeom

protected

Definition at line 60 of file mesh.hpp.

int mfem::Mesh::BaseGeom

protected

Definition at line 60 of file mesh.hpp.

Array<int> mfem::Mesh::bdr_attributes

Definition at line 141 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_edge

protected

Definition at line 104 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_face

protected

Definition at line 106 of file mesh.hpp.

Table* mfem::Mesh::bel_to_edge

protected

Definition at line 105 of file mesh.hpp.

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

protected

Definition at line 73 of file mesh.hpp.

CoarseFineTransformations mfem::Mesh::CoarseFineTr

protected

Definition at line 115 of file mesh.hpp.

int mfem::Mesh::Dim

protected

Definition at line 54 of file mesh.hpp.

Table* mfem::Mesh::edge_vertex

mutableprotected

Definition at line 108 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::EdgeTransformation

protected

Definition at line 111 of file mesh.hpp.

Table* mfem::Mesh::el_to_edge

protected

Definition at line 101 of file mesh.hpp.

Table* mfem::Mesh::el_to_el

protected

Definition at line 103 of file mesh.hpp.

Table* mfem::Mesh::el_to_face

protected

Definition at line 102 of file mesh.hpp.

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

protected

Definition at line 69 of file mesh.hpp.

Table* mfem::Mesh::face_edge

mutableprotected

Definition at line 107 of file mesh.hpp.

FaceElementTransformations mfem::Mesh::FaceElemTr

protected

Definition at line 112 of file mesh.hpp.

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

protected

Definition at line 74 of file mesh.hpp.

Array<FaceInfo> mfem::Mesh::faces_info

protected

Definition at line 98 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::FaceTransformation

protected

Definition at line 111 of file mesh.hpp.

Operation mfem::Mesh::last_operation

protected

Definition at line 147 of file mesh.hpp.

int mfem::Mesh::meshgen

protected

Definition at line 62 of file mesh.hpp.

Array<NCFaceInfo> mfem::Mesh::nc_faces_info

protected

Definition at line 99 of file mesh.hpp.

NCMesh* mfem::Mesh::ncmesh

Definition at line 144 of file mesh.hpp.

GridFunction* mfem::Mesh::Nodes

protected

Definition at line 120 of file mesh.hpp.

int mfem::Mesh::NumOfBdrElements

protected

Definition at line 57 of file mesh.hpp.

int mfem::Mesh::NumOfEdges

protected

Definition at line 58 of file mesh.hpp.

int mfem::Mesh::NumOfElements

protected

Definition at line 57 of file mesh.hpp.

int mfem::Mesh::NumOfFaces

protected

Definition at line 58 of file mesh.hpp.

int mfem::Mesh::NumOfVertices

protected

Definition at line 57 of file mesh.hpp.

NURBSExtension* mfem::Mesh::NURBSext

Definition at line 143 of file mesh.hpp.

int mfem::Mesh::own_nodes

protected

Definition at line 121 of file mesh.hpp.

long mfem::Mesh::sequence

protected

Definition at line 67 of file mesh.hpp.

int mfem::Mesh::spaceDim

protected

Definition at line 55 of file mesh.hpp.

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

protected

Definition at line 128 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation

protected

Definition at line 110 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation2

protected

Definition at line 110 of file mesh.hpp.

Array<Vertex> mfem::Mesh::vertices

protected

Definition at line 72 of file mesh.hpp.

const int mfem::Mesh::vtk_quadratic_hex

staticprotected

Initial value:

=
{
   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
   24, 22, 21, 23, 20, 25, 26
}

Definition at line 124 of file mesh.hpp.

const int mfem::Mesh::vtk_quadratic_tet

staticprotected

Initial value:

=

{ 0, 1, 2, 3, 4, 7, 5, 6, 8, 9 }

Definition at line 123 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 Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation