#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 (double vertices, int num_vertices, int element_indices, Geometry::Type element_type, int element_attributes, int num_elements, int boundary_indices, Geometry::Type boundary_type, int *boundary_attributes, int num_boundary_elements, int dimension, int space_dimension=-1)
	Construct a Mesh from the given primary data. More...

	Mesh (int _Dim, int NVert, int NElem, int NBdrElem=0, int _spaceDim=-1)
	Init constructor: begin the construction of a Mesh object. More...

void	FinalizeTopology ()
	Finalize the construction of the secondary topology (connectivity) data of a Mesh. More...

void	Finalize (bool refine=false, bool fix_orientation=false)
	Finalize the construction of a general Mesh. More...

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...

	Mesh (Mesh *orig_mesh, int ref_factor, int ref_type)
	Create a uniformly refined (by any factor) version of orig_mesh. More...

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

void	Clear ()
	Clear the contents of the Mesh. More...

int	MeshGenerator ()
	Get the mesh generator/type. More...

int	GetNV () const
	Returns number of vertices. Vertices are only at the corners of elements, where you would expect them in the lowest-order mesh. More...

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...

void	GetElementData (int geom, Array< int > &elem_vtx, Array< int > &attr) const

void	GetBdrElementData (int geom, Array< int > &bdr_elem_vtx, Array< int > &bdr_attr) const

void	ChangeVertexDataOwnership (double *vertices, int len_vertices, bool zerocopy=false)
	Set the internal Vertex array to point to the given vertices array without assuming ownership of the pointer. 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 > &v) const
	Returns the indices of the vertices of element i. More...

void	GetBdrElementVertices (int i, Array< int > &v) const
	Returns the indices of the vertices 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

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

int	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...

void	SetAttribute (int i, int attr)
	Set 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

bool	OwnsNodes () const
	Return the mesh nodes ownership flag. More...

void	SetNodesOwner (bool nodes_owner)
	Set the mesh nodes ownership flag. 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 () 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	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=mfem::out) const
	Print the mesh to the given stream using Netgen/Truegrid format. More...

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

void	PrintVTK (std::ostream &out)

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	GetCharacteristics (double &h_min, double &h_max, double &kappa_min, double &kappa_max, Vector Vh=NULL, Vector Vk=NULL)

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

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

void	MesquiteSmooth (const int mesquite_option=0)

virtual int	FindPoints (DenseMatrix &point_mat, Array< int > &elem_ids, Array< IntegrationPoint > &ips, bool warn=true, InverseElementTransformation *inv_trans=NULL)
	Find the ids of the elements that contain the given points, and their corresponding reference coordinates. More...

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

Methods for Mesh construction.
These methods are intended to be used with the init constructor.
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)
	Finalize the construction of a triangular Mesh. More...

void	FinalizeQuadMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)
	Finalize the construction of a quadrilateral Mesh. More...

void	FinalizeTetMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)
	Finalize the construction of a tetrahedral Mesh. More...

void	FinalizeHexMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)
	Finalize the construction of a hexahedral Mesh. More...

NURBS mesh refinement methods
void	KnotInsert (Array< KnotVector * > &kv)

void	DegreeElevate (int t)

Static Public Member Functions
static FiniteElement *	GetTransformationFEforElementType (int)

Public Attributes
Array< int >	attributes
	A list of all unique element attributes used by the Mesh. More...

Array< int >	bdr_attributes
	A list of all unique boundary attributes used by the Mesh. More...

NURBSExtension *	NURBSext
	Optional NURBS mesh extension. More...

NCMesh *	ncmesh
	Optional non-conforming mesh extension. More...

Protected Member Functions
void	Init ()

void	InitTables ()

void	SetEmpty ()

void	DestroyTables ()

void	DeleteTables ()

void	DestroyPointers ()

void	Destroy ()

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 (const char *filename, int &curved, int &read_gf)

void	SetMeshGen ()
	Determine the mesh generator bitmask meshgen, see MeshGenerator(). More...

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)

virtual void	MarkTetMeshForRefinement (DSTable &v_to_v)

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	FinalizeCheck ()

void	Loader (std::istream &input, int generate_edges=0, std::string parse_tag="")

void	Printer (std::ostream &out=mfem::out, std::string section_delimiter="") const

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)

void	GetElementData (const Array< Element * > &elem_array, int geom, Array< int > &elem_vtx, Array< int > &attr) const

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	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 44 of file mesh.hpp.

Member Typedef Documentation

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

Definition at line 165 of file mesh.hpp.

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

Definition at line 163 of file mesh.hpp.

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

Definition at line 161 of file mesh.hpp.

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

Definition at line 164 of file mesh.hpp.

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

Definition at line 162 of file mesh.hpp.

Member Enumeration Documentation

enum mfem::Mesh::Operation

Enumerator
NONE
REFINE
DEREFINE
REBALANCE

Definition at line 167 of file mesh.hpp.

Constructor & Destructor Documentation

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

protected

Create from a nonconforming mesh.

Definition at line 6202 of file mesh.cpp.

mfem::Mesh::Mesh ( )

inline

Definition at line 414 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 2293 of file mesh.cpp.

mfem::Mesh::Mesh	(	double *	vertices,
		int	num_vertices,
		int *	element_indices,
		Geometry::Type	element_type,
		int *	element_attributes,
		int	num_elements,
		int *	boundary_indices,
		Geometry::Type	boundary_type,
		int *	boundary_attributes,
		int	num_boundary_elements,
		int	dimension,
		int	space_dimension = `-1`
	)

Construct a Mesh from the given primary data.

The array vertices is used as external data, i.e. the Mesh does not copy the data and will not delete the pointer.

The data from the other arrays is copied into the internal Mesh data structures.

This method calls the method FinalizeTopology(). The method Finalize() may be called after this constructor and after optionally setting the Mesh nodes.

Definition at line 2448 of file mesh.cpp.

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

inline

Init constructor: begin the construction of a Mesh object.

Definition at line 441 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 535 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 545 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 552 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 2399 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 2417 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 2739 of file mesh.cpp.

mfem::Mesh::Mesh	(	Mesh *	orig_mesh,
		int	ref_factor,
		int	ref_type
	)

Create a uniformly refined (by any factor) version of orig_mesh.

Parameters

[in]	orig_mesh	The starting coarse mesh.
[in]	ref_factor	The refinement factor, an integer > 1.
[in]	ref_type	Specify the positions of the new vertices. The options are BasisType::ClosedUniform or BasisType::GaussLobatto.

The refinement data which can be accessed with GetRefinementTransforms() is set to reflect the performed refinements.

Note: The constructed Mesh is linear, i.e. it does not have nodes.

Definition at line 2918 of file mesh.cpp.

virtual mfem::Mesh::~Mesh ( )

inlinevirtual

Destroys Mesh.

Definition at line 1121 of file mesh.hpp.

Member Function Documentation

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

inline

Definition at line 467 of file mesh.hpp.

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

Definition at line 1013 of file mesh.cpp.

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

Definition at line 1018 of file mesh.cpp.

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

Definition at line 1003 of file mesh.cpp.

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

Definition at line 1008 of file mesh.cpp.

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

inline

Definition at line 466 of file mesh.hpp.

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

Definition at line 979 of file mesh.cpp.

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

Definition at line 984 of file mesh.cpp.

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

protected

Used in GenerateFaces()

Definition at line 4186 of file mesh.cpp.

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

Definition at line 961 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 4254 of file mesh.cpp.

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

protected

Definition at line 4203 of file mesh.cpp.

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

Definition at line 966 of file mesh.cpp.

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

Definition at line 951 of file mesh.cpp.

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

Definition at line 956 of file mesh.cpp.

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

protected

Definition at line 4233 of file mesh.cpp.

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

Definition at line 940 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 703 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 5449 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 6475 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 6682 of file mesh.cpp.

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

Definition at line 4574 of file mesh.cpp.

void mfem::Mesh::ChangeVertexDataOwnership	(	double *	vertices,
		int	len_vertices,
		bool	zerocopy = `false`
	)

Set the internal Vertex array to point to the given vertices array without assuming ownership of the pointer.

If zerocopy is true, the vertices must be given as an array of 3 doubles per vertex. If zerocopy is false then the current Vertex data is first copied to the vertices array.

Definition at line 2424 of file mesh.cpp.

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

Check the orientation of the boundary elements.

Returns: The number of boundary elements with wrong orientation.

Definition at line 3556 of file mesh.cpp.

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

Definition at line 5244 of file mesh.cpp.

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

Check the orientation of the elements.

Returns: The number of elements with wrong orientation.

Definition at line 3349 of file mesh.cpp.

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

Definition at line 4926 of file mesh.cpp.

void mfem::Mesh::Clear ( )

inline

Clear the contents of the Mesh.

Definition at line 599 of file mesh.hpp.

bool mfem::Mesh::Conforming ( ) const

inline

Definition at line 998 of file mesh.hpp.

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

Definition at line 3075 of file mesh.cpp.

void mfem::Mesh::DeleteTables ( )

inlineprotected

Definition at line 184 of file mesh.hpp.

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 6123 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 6140 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 6052 of file mesh.cpp.

void mfem::Mesh::Destroy ( )

protected

Definition at line 841 of file mesh.cpp.

void mfem::Mesh::DestroyPointers ( )

protected

Definition at line 815 of file mesh.cpp.

void mfem::Mesh::DestroyTables ( )

protected

Definition at line 800 of file mesh.cpp.

int mfem::Mesh::Dimension ( ) const

inline

Definition at line 641 of file mesh.hpp.

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

protected

Definition at line 1463 of file mesh.cpp.

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

Definition at line 4177 of file mesh.cpp.

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

Definition at line 4132 of file mesh.cpp.

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

Definition at line 4168 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 6384 of file mesh.cpp.

int mfem::Mesh::EulerNumber ( ) const

inline

Equals 1 + num_holes - num_loops.

Definition at line 635 of file mesh.hpp.

int mfem::Mesh::EulerNumber2D ( ) const

inline

Equals 1 - num_holes.

Definition at line 638 of file mesh.hpp.

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

inline

Return true if the given face is interior.

See Also: FaceIsTrueInterior().

Definition at line 831 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 349 of file mesh.hpp.

void mfem::Mesh::Finalize	(	bool	refine = `false`,
		bool	fix_orientation = `false`
	)

Finalize the construction of a general Mesh.

This method will:

check and optionally fix the orientation of regular elements
check and fix the orientation of boundary elements
assume that vertices are defined, if Nodes == NULL

assume that Nodes are defined, if Nodes != NULL.

Parameters

[in]	refine	If true, prepare the Mesh for conforming refinement of triangular or tetrahedral meshes.
[in]	fix_orientation	If true, fix the orientation of inverted mesh elements by permuting their vertices.

Before calling this method, call FinalizeTopology() and ensure that the Mesh vertices or nodes are set.

Definition at line 1837 of file mesh.cpp.

void mfem::Mesh::FinalizeCheck ( )

protected

Definition at line 1071 of file mesh.cpp.

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

Finalize the construction of a hexahedral Mesh.

Definition at line 1726 of file mesh.cpp.

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

Finalize the construction of a quadrilateral Mesh.

Definition at line 1116 of file mesh.cpp.

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

Finalize the construction of a tetrahedral Mesh.

Definition at line 1682 of file mesh.cpp.

void mfem::Mesh::FinalizeTopology ( )

Finalize the construction of the secondary topology (connectivity) data of a Mesh.

This method does not require any actual coordinate data (either vertex coordinates for linear meshes or node coordinates for meshes with nodes) to be available. However, the data generated by this method is generally required by the FiniteElementSpace class.

After calling this method, setting the Mesh vertices or nodes, it may be appropriate to call the method Finalize().

Definition at line 1759 of file mesh.cpp.

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

Finalize the construction of a triangular Mesh.

Definition at line 1084 of file mesh.cpp.

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

protected

Definition at line 6820 of file mesh.cpp.

int mfem::Mesh::FindPoints	(	DenseMatrix &	point_mat,
		Array< int > &	elem_ids,
		Array< IntegrationPoint > &	ips,
		bool	warn = `true`,
		InverseElementTransformation *	inv_trans = `NULL`
	)

virtual

Find the ids of the elements that contain the given points, and their corresponding reference coordinates.

The DenseMatrix point_mat describes the given points - one point for each column; it should have SpaceDimension() rows.

The InverseElementTransformation object, inv_trans, is used to attempt the element transformation inversion. If NULL pointer is given, the method will use a default constructed InverseElementTransformation. Note that the algorithms in the base class InverseElementTransformation can be completely overwritten by deriving custom classes that override the Transform() method.

If no element is found for the i-th point, elem_ids[i] is set to -1.

In the ParMesh implementation, the point_mat is expected to be the same on all ranks. If the i-th point is found by multiple ranks, only one of them will mark that point as found, i.e. set its elem_ids[i] to a non-negative number; the other ranks will set their elem_ids[i] to -2 to indicate that the point was found but assigned to another rank.

Returns: The total number of points that were found.

Note: This method is not 100 percent reliable, i.e. it is not guaranteed to find a point, even if it lies inside a mesh element.

Reimplemented in mfem::ParMesh.

Definition at line 8539 of file mesh.cpp.

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

protected

Definition at line 8514 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 6319 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 6373 of file mesh.cpp.

void mfem::Mesh::GenerateBoundaryElements ( )

Definition at line 1033 of file mesh.cpp.

void mfem::Mesh::GenerateFaces ( )

protected

Definition at line 4275 of file mesh.cpp.

void mfem::Mesh::GenerateNCFaceInfo ( )

protected

Definition at line 4344 of file mesh.cpp.

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

Definition at line 4619 of file mesh.cpp.

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

inline

Return the attribute of element i.

Definition at line 849 of file mesh.hpp.

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

inline

Return the attribute of boundary element i.

Definition at line 855 of file mesh.hpp.

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

inline

Definition at line 676 of file mesh.hpp.

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

inline

Definition at line 678 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 3969 of file mesh.cpp.

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

inline

Definition at line 687 of file mesh.hpp.

void mfem::Mesh::GetBdrElementData	(	int	geom,
		Array< int > &	bdr_elem_vtx,
		Array< int > &	bdr_attr
	)		const

inline

Definition at line 657 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 3957 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 3680 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 3912 of file mesh.cpp.

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

Returns the transformation defining the i-th boundary element.

Definition at line 332 of file mesh.cpp.

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

Definition at line 338 of file mesh.cpp.

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

Returns the type of boundary element i.

Definition at line 3994 of file mesh.cpp.

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

inline

Returns the indices of the vertices of boundary element i.

Definition at line 695 of file mesh.hpp.

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

Definition at line 717 of file mesh.cpp.

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

Definition at line 4015 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 95 of file mesh.cpp.

void mfem::Mesh::GetCharacteristics	(	double &	h_min,
		double &	h_max,
		double &	kappa_min,
		double &	kappa_max,
		Vector *	Vh = `NULL`,
		Vector *	Vk = `NULL`
	)

Definition at line 159 of file mesh.cpp.

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

protected

Definition at line 1373 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 436 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 492 of file mesh.cpp.

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

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

Definition at line 3779 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 3742 of file mesh.cpp.

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

inline

Definition at line 672 of file mesh.hpp.

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

inline

Definition at line 674 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 4046 of file mesh.cpp.

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

inline

Definition at line 684 of file mesh.hpp.

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

Definition at line 7497 of file mesh.cpp.

void mfem::Mesh::GetElementData	(	const Array< Element * > &	elem_array,
		int	geom,
		Array< int > &	elem_vtx,
		Array< int > &	attr
	)		const

protected

Definition at line 6252 of file mesh.cpp.

void mfem::Mesh::GetElementData	(	int	geom,
		Array< int > &	elem_vtx,
		Array< int > &	attr
	)		const

inline

Definition at line 654 of file mesh.hpp.

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 3658 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 3874 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 43 of file mesh.cpp.

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

inline

Definition at line 669 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 51 of file mesh.cpp.

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

Definition at line 69 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 4093 of file mesh.cpp.

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

protected

Definition at line 4426 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 255 of file mesh.cpp.

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

Returns the transformation defining the i-th element.

Definition at line 325 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 284 of file mesh.cpp.

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

Returns the type of element i.

Definition at line 3989 of file mesh.cpp.

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

inline

Returns the indices of the vertices of element i.

Definition at line 691 of file mesh.hpp.

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

Definition at line 78 of file mesh.cpp.

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

inline

Definition at line 680 of file mesh.hpp.

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

Definition at line 3935 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 3712 of file mesh.cpp.

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

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

Definition at line 3751 of file mesh.cpp.

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

Definition at line 743 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 633 of file mesh.cpp.

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

Definition at line 760 of file mesh.cpp.

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

Definition at line 755 of file mesh.cpp.

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

Definition at line 749 of file mesh.cpp.

STable3D * mfem::Mesh::GetFacesTable ( )

protected

Definition at line 4391 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 3840 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 367 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 430 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 709 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 1149 of file mesh.cpp.

long mfem::Mesh::GetGlobalNE ( ) const

inline

Return the total (global) number of elements.

Definition at line 632 of file mesh.hpp.

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

inline

Definition at line 822 of file mesh.hpp.

Operation mfem::Mesh::GetLastOperation ( ) const

inline

Return type of last modification of the mesh.

Definition at line 1006 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 4031 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 600 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 499 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 578 of file mesh.cpp.

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

protected

Definition at line 534 of file mesh.cpp.

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

protected

Definition at line 514 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 554 of file mesh.cpp.

int mfem::Mesh::GetNBE ( ) const

inline

Returns number of boundary elements.

Definition at line 617 of file mesh.hpp.

int mfem::Mesh::GetNE ( ) const

inline

Returns number of elements.

Definition at line 614 of file mesh.hpp.

int mfem::Mesh::GetNEdges ( ) const

inline

Return the number of edges.

Definition at line 620 of file mesh.hpp.

int mfem::Mesh::GetNFaces ( ) const

inline

Return the number of faces in a 3D mesh.

Definition at line 623 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 3310 of file mesh.cpp.

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

Definition at line 5350 of file mesh.cpp.

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

Definition at line 5401 of file mesh.cpp.

GridFunction* mfem::Mesh::GetNodes ( )

inline

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

Definition at line 907 of file mesh.hpp.

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

inline

Definition at line 908 of file mesh.hpp.

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

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

Definition at line 3284 of file mesh.cpp.

int mfem::Mesh::GetNumFaces ( ) const

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

Definition at line 3334 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 611 of file mesh.hpp.

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

Definition at line 3999 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 3508 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 6830 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 1012 of file mesh.hpp.

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

static

Definition at line 239 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 3460 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 be updated and should not be used!

Definition at line 647 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 652 of file mesh.hpp.

Table * mfem::Mesh::GetVertexToElementTable ( )

The returned Table must be destroyed by the caller.

Definition at line 3805 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 4068 of file mesh.cpp.

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

Definition at line 5330 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 239 of file mesh.hpp.

void mfem::Mesh::HexUniformRefinement ( )

protectedvirtual

Refine hexahedral mesh.

Reimplemented in mfem::ParMesh.

Definition at line 5581 of file mesh.cpp.

void mfem::Mesh::Init ( )

protected

Definition at line 765 of file mesh.cpp.

void mfem::Mesh::InitBaseGeom ( )

protected

Definition at line 917 of file mesh.cpp.

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

protected

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

Definition at line 6152 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 900 of file mesh.cpp.

void mfem::Mesh::InitRefinementTransforms ( )

protected

Definition at line 6808 of file mesh.cpp.

void mfem::Mesh::InitTables ( )

protected

Definition at line 782 of file mesh.cpp.

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

protected

Definition at line 698 of file mesh.cpp.

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

Definition at line 3043 of file mesh.cpp.

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

inlinevirtual

This is similar to the mesh constructor with the same arguments, but here the current mesh is destroyed and another one created based on the data stream again given in MFEM, netgen, or VTK format. If generate_edges = 0 (default) edges are not generated, if 1 edges are generated.

See Also: mfem::igzstream() for on-the-fly decompression of compressed ascii inputs.

Definition at line 591 of file mesh.hpp.

void mfem::Mesh::Loader	(	std::istream &	input,
		int	generate_edges = `0`,
		std::string	parse_tag = `""`
	)

protected

Definition at line 2576 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 3160 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 5746 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 2245 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 2085 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 1897 of file mesh.cpp.

void mfem::Mesh::MarkForRefinement ( )

protected

Definition at line 1341 of file mesh.cpp.

void mfem::Mesh::MarkTetMeshForRefinement ( DSTable & v_to_v )

protectedvirtual

Reimplemented in mfem::ParMesh.

Definition at line 1398 of file mesh.cpp.

void mfem::Mesh::MarkTriMeshForRefinement ( )

protected

Definition at line 1358 of file mesh.cpp.

int mfem::Mesh::MeshGenerator ( )

inline

Get the mesh generator/type.

Returns

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 607 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 5389 of file mesh.cpp.

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

Definition at line 5321 of file mesh.cpp.

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

Definition at line 2490 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 5425 of file mesh.cpp.

bool mfem::Mesh::Nonconforming ( ) const

inline

Definition at line 999 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 6078 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 6004 of file mesh.cpp.

void mfem::Mesh::NURBSUniformRefinement ( )

protectedvirtual

Refine NURBS mesh.

Reimplemented in mfem::ParMesh.

Definition at line 3062 of file mesh.cpp.

bool mfem::Mesh::OwnsNodes ( ) const

inline

Return the mesh nodes ownership flag.

Definition at line 910 of file mesh.hpp.

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

protected

Definition at line 1421 of file mesh.cpp.

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

inlinevirtual

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

See Also: mfem::ogzstream() for on-the-fly compression of ascii outputs

Reimplemented in mfem::ParMesh.

Definition at line 1019 of file mesh.hpp.

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

Definition at line 192 of file mesh.cpp.

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

staticprotected

Definition at line 2551 of file mesh.cpp.

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

Definition at line 7690 of file mesh.cpp.

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

staticprotected

Definition at line 2527 of file mesh.cpp.

void mfem::Mesh::Printer	(	std::ostream &	out = `mfem::out`,
		std::string	section_delimiter = `""`
	)		const

protected

Definition at line 7052 of file mesh.cpp.

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

inlinevirtual

Reimplemented in mfem::ParMesh.

Definition at line 1084 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 8064 of file mesh.cpp.

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

protected

Definition at line 7134 of file mesh.cpp.

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

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

See Also: mfem::ogzstream() for on-the-fly compression of ascii outputs

Definition at line 7176 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.

See Also: mfem::ogzstream() for on-the-fly compression of ascii outputs

Definition at line 7349 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.

See Also: mfem::ogzstream() for on-the-fly compression of ascii outputs

Definition at line 7572 of file mesh.cpp.

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

virtual

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

Reimplemented in mfem::ParMesh.

Definition at line 6888 of file mesh.cpp.

void mfem::Mesh::QuadUniformRefinement ( )

protectedvirtual

Refine quadrilateral mesh.

Reimplemented in mfem::ParMesh.

Definition at line 5479 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 6401 of file mesh.cpp.

void mfem::Mesh::ReadCubit	(	const char *	filename,
		int &	curved,
		int &	read_gf
	)

protected

Definition at line 1267 of file mesh_readers.cpp.

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

protected

Definition at line 2539 of file mesh.cpp.

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

protected

Definition at line 2510 of file mesh.cpp.

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

protected

Definition at line 858 of file mesh_readers.cpp.

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

protected

Definition at line 706 of file mesh_readers.cpp.

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

protected

Definition at line 110 of file mesh_readers.cpp.

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

protected

Definition at line 28 of file mesh_readers.cpp.

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

protected

Definition at line 144 of file mesh_readers.cpp.

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

protected

Definition at line 206 of file mesh_readers.cpp.

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

protected

Definition at line 665 of file mesh_readers.cpp.

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

protected

Definition at line 260 of file mesh_readers.cpp.

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

protected

Definition at line 364 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 233 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 629 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 6420 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 6446 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 6466 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 8426 of file mesh.cpp.

void mfem::Mesh::RemoveUnusedVertices ( )

Remove unused vertices and rebuild mesh connectivity.

Definition at line 8319 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 1194 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 4499 of file mesh.cpp.

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

inlinestaticprotected

Definition at line 1169 of file mesh.hpp.

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

Definition at line 8200 of file mesh.cpp.

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

Definition at line 8130 of file mesh.cpp.

void mfem::Mesh::SetAttribute	(	int	i,
		int	attr
	)

inline

Set the attribute of element i.

Definition at line 852 of file mesh.hpp.

void mfem::Mesh::SetAttributes ( )

Definition at line 869 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 3315 of file mesh.cpp.

void mfem::Mesh::SetEmpty ( )

protected

Definition at line 788 of file mesh.cpp.

void mfem::Mesh::SetMeshGen ( )

protected

Determine the mesh generator bitmask meshgen, see MeshGenerator().

Definition at line 2557 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 3298 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 3304 of file mesh.cpp.

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

Definition at line 5369 of file mesh.cpp.

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

Definition at line 5413 of file mesh.cpp.

void mfem::Mesh::SetNodesOwner ( bool nodes_owner )

inline

Set the mesh nodes ownership flag.

Definition at line 912 of file mesh.hpp.

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

Definition at line 5341 of file mesh.cpp.

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

inlinestaticprotected

Definition at line 1163 of file mesh.hpp.

int mfem::Mesh::SpaceDimension ( ) const

inline

Definition at line 642 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 6210 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 5439 of file mesh.cpp.

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

Definition at line 8270 of file mesh.cpp.

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

Definition at line 8295 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 6718 of file mesh.cpp.

void mfem::Mesh::UniformRefinement ( )

Refine all mesh elements.

Definition at line 6280 of file mesh.cpp.

void mfem::Mesh::UpdateNodes ( )

protected

Update the nodes of a curved mesh after refinement.

Definition at line 5470 of file mesh.cpp.

void mfem::Mesh::UpdateNURBS ( )

protected

Definition at line 3097 of file mesh.cpp.

Friends And Related Function Documentation

friend class NURBSExtension

friend

Definition at line 50 of file mesh.hpp.

friend class ParMesh

friend

Definition at line 47 of file mesh.hpp.

friend class ParNCMesh

friend

Definition at line 48 of file mesh.hpp.

friend class Tetrahedron

friend

Definition at line 156 of file mesh.hpp.

Member Data Documentation

Array<int> mfem::Mesh::attributes

A list of all unique element attributes used by the Mesh.

Definition at line 170 of file mesh.hpp.

int mfem::Mesh::BaseBdrGeom

protected

Definition at line 59 of file mesh.hpp.

int mfem::Mesh::BaseGeom

protected

Definition at line 59 of file mesh.hpp.

Array<int> mfem::Mesh::bdr_attributes

A list of all unique boundary attributes used by the Mesh.

Definition at line 172 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_edge

protected

Definition at line 133 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_face

protected

Definition at line 135 of file mesh.hpp.

Table* mfem::Mesh::bel_to_edge

protected

Definition at line 134 of file mesh.hpp.

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

protected

Definition at line 72 of file mesh.hpp.

CoarseFineTransformations mfem::Mesh::CoarseFineTr

protected

Definition at line 144 of file mesh.hpp.

int mfem::Mesh::Dim

protected

Definition at line 53 of file mesh.hpp.

Table* mfem::Mesh::edge_vertex

mutableprotected

Definition at line 137 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::EdgeTransformation

protected

Definition at line 140 of file mesh.hpp.

Table* mfem::Mesh::el_to_edge

protected

Definition at line 130 of file mesh.hpp.

Table* mfem::Mesh::el_to_el

protected

Definition at line 132 of file mesh.hpp.

Table* mfem::Mesh::el_to_face

protected

Definition at line 131 of file mesh.hpp.

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

protected

Definition at line 68 of file mesh.hpp.

Table* mfem::Mesh::face_edge

mutableprotected

Definition at line 136 of file mesh.hpp.

FaceElementTransformations mfem::Mesh::FaceElemTr

protected

Definition at line 141 of file mesh.hpp.

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

protected

Definition at line 73 of file mesh.hpp.

Array<FaceInfo> mfem::Mesh::faces_info

protected

Definition at line 127 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::FaceTransformation

protected

Definition at line 140 of file mesh.hpp.

Operation mfem::Mesh::last_operation

protected

Definition at line 178 of file mesh.hpp.

int mfem::Mesh::meshgen

protected

Definition at line 61 of file mesh.hpp.

Array<NCFaceInfo> mfem::Mesh::nc_faces_info

protected

Definition at line 128 of file mesh.hpp.

NCMesh* mfem::Mesh::ncmesh

Optional non-conforming mesh extension.

Definition at line 175 of file mesh.hpp.

GridFunction* mfem::Mesh::Nodes

protected

Definition at line 149 of file mesh.hpp.

int mfem::Mesh::NumOfBdrElements

protected

Definition at line 56 of file mesh.hpp.

int mfem::Mesh::NumOfEdges

protected

Definition at line 57 of file mesh.hpp.

int mfem::Mesh::NumOfElements

protected

Definition at line 56 of file mesh.hpp.

int mfem::Mesh::NumOfFaces

protected

Definition at line 57 of file mesh.hpp.

int mfem::Mesh::NumOfVertices

protected

Definition at line 56 of file mesh.hpp.

NURBSExtension* mfem::Mesh::NURBSext

Optional NURBS mesh extension.

Definition at line 174 of file mesh.hpp.

int mfem::Mesh::own_nodes

protected

Definition at line 150 of file mesh.hpp.

long mfem::Mesh::sequence

protected

Definition at line 66 of file mesh.hpp.

int mfem::Mesh::spaceDim

protected

Definition at line 54 of file mesh.hpp.

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

protected

Definition at line 157 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation

protected

Definition at line 139 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation2

protected

Definition at line 139 of file mesh.hpp.

Array<Vertex> mfem::Mesh::vertices

protected

Definition at line 71 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 153 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 152 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