#include <mesh.hpp>

Inheritance diagram for Mesh:

Collaboration diagram for Mesh:

Classes
class	FaceInfo
Public Types
enum	{ NORMAL, TWO_LEVEL_COARSE, TWO_LEVEL_FINE }
Public Member Functions
	Mesh ()
	Mesh (int _Dim, int NVert, int NElem, int NBdrElem=0)
void	AddVertex (double *)
void	AddElement (Element *elem)
void	AddTri (int *vi, int attr=1)
void	AddTriangle (int *vi, int attr=1)
void	AddQuad (int *vi, int attr=1)
void	AddTet (int *vi, int attr=1)
void	AddHex (int *vi, int attr=1)
void	AddBdrSegment (int *vi, int attr=1)
void	AddBdrTriangle (int *vi, int attr=1)
void	AddBdrQuad (int *vi, int attr=1)
void	GenerateBoundaryElements ()
void	FinalizeTriMesh (int generate_edges=0, int refine=0)
void	FinalizeQuadMesh (int generate_edges=0, int refine=0)
void	FinalizeTetMesh (int generate_edges=0, int refine=0)
void	FinalizeHexMesh (int generate_edges=0, int refine=0)
void	SetAttributes ()
	Mesh (int nx, int ny, Element::Type type, int generate_edges=0, double sx=1.0, double sy=1.0)
	Mesh (int n)
	Mesh (istream &input, int generate_edges=0, int refine=1)
	Mesh (Mesh *mesh_array[], int num_pieces)
	Create a disjoint mesh from the given mesh array.
void	Load (istream &input, int generate_edges=0, int refine=1)
void	SetNodalFESpace (FiniteElementSpace *nfes)
void	SetNodalGridFunction (GridFunction *nodes)
const FiniteElementSpace *	GetNodalFESpace ()
int	MeshGenerator ()
	Truegrid or NetGen?
int	GetNV () const
	Returns number of vertices.
int	GetNE () const
	Returns number of elements.
int	GetNBE () const
	Returns number of boundary elements.
int	GetNEdges () const
	Return the number of edges.
int	GetNFaces () const
int	EulerNumber () const
	Equals 1 + num_holes - num_loops.
int	EulerNumber2D () const
	Equals 1 - num_holes.
int	Dimension () const
const double *	GetVertex (int i) const
	Return pointer to vertex i's coordinates.
double *	GetVertex (int i)
const Element *	GetElement (int i) const
Element *	GetElement (int i)
const Element *	GetBdrElement (int i) const
Element *	GetBdrElement (int i)
const Element *	GetFace (int i) const
int	GetFaceBaseGeometry (int i) const
int	GetElementBaseGeometry (int i) const
int	GetBdrElementBaseGeometry (int i) const
void	GetElementVertices (int i, Array< int > &dofs) const
	Returns the indices of the dofs of element i.
void	GetBdrElementVertices (int i, Array< int > &dofs) const
	Returns the indices of the dofs of boundary element i.
void	GetElementEdges (int i, Array< int > &, Array< int > &) const
	Return the indices and the orientations of all edges of element i.
void	GetBdrElementEdges (int i, Array< int > &, Array< int > &) const
	Return the indices and the orientations of all edges of bdr element i.
void	GetFaceEdges (int i, Array< int > &, Array< int > &) const
	Return the indices and the orientations of all edges of face i.
void	GetFaceVertices (int i, Array< int > &vert) const
	Returns the indices of the vertices of face i.
void	GetEdgeVertices (int i, Array< int > &vert) const
	Returns the indices of the vertices of edge i.
Table *	GetFaceEdgeTable () const
	Returns the face-to-edge Table (3D)
Table *	GetEdgeVertexTable () const
	Returns the edge-to-vertex Table (3D)
void	GetElementFaces (int i, Array< int > &, Array< int > &) const
	Return the indices and the orientations of all faces of element i.
void	GetBdrElementFace (int i, int , int ) const
	Return the index and the orientation of the face of bdr element i. (3D)
int	GetBdrElementEdgeIndex (int i) const
int	GetElementType (int i) const
	Returns the type of element i.
int	GetBdrElementType (int i) const
	Returns the type of boundary element i.
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.
void	GetElementTransformation (int i, const Vector &nodes, IsoparametricTransformation *ElTr)
ElementTransformation *	GetBdrElementTransformation (int i)
	Returns the transformation defining the i-th boundary element.
void	GetFaceTransformation (int i, IsoparametricTransformation *FTr)
ElementTransformation *	GetFaceTransformation (int FaceNo)
	Returns the transformation defining the given face element.
FaceElementTransformations *	GetFaceElementTransformations (int FaceNo, int mask=31)
FaceElementTransformations *	GetInteriorFaceTransformations (int FaceNo)
FaceElementTransformations *	GetBdrFaceTransformations (int BdrElemNo)
void	GetFaceElements (int Face, int Elem1, int Elem2)
void	GetFaceInfos (int Face, int Inf1, int Inf2)
void	CheckElementOrientation ()
	Check the orientation of the elements.
void	CheckBdrElementOrientation ()
	Check the orientation of the boundary elements.
int	GetAttribute (int i) const
	Return the attribute of element i.
int	GetBdrAttribute (int i) const
	Return the attribute of boundary element i.
const Table &	ElementToElementTable ()
const Table &	ElementToFaceTable () const
const Table &	ElementToEdgeTable () const
Table *	GetVertexToElementTable ()
	The returned Table must be destroyed by the caller.
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	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 grid function.
void	NewNodes (GridFunction &nodes)
virtual void	LocalRefinement (const Array< int > &marked_el, int type=3)
	Refine the marked elements.
void	UniformRefinement ()
void	KnotInsert (Array< KnotVector * > &kv)
void	DegreeElevate (int t)
void	UseTwoLevelState (int use)
void	SetState (int s)
	Change the mesh state to NORMAL, TWO_LEVEL_COARSE, TWO_LEVEL_FINE.
int	GetNumFineElems (int i)
int	GetRefinementType (int i)
	For a given coarse element i returns its refinement type.
int	GetFineElem (int i, int j)
ElementTransformation *	GetFineElemTrans (int i, int j)
virtual void	PrintXG (ostream &out=cout) const
	Print the mesh to the given stream using Netgen/Truegrid format.
virtual void	Print (ostream &out=cout) const
	Print the mesh to the given stream using the default MFEM mesh format.
void	PrintVTK (ostream &out)
	Print the mesh in VTK format (linear and quadratic meshes only).
void	PrintVTK (ostream &out, int ref, int field_data=0)
void	GetElementColoring (Array< int > &colors, int el0=0)
void	PrintWithPartitioning (int *partitioning, ostream &out, int elem_attr=0) const
void	PrintElementsWithPartitioning (int *partitioning, ostream &out, int interior_faces=0)
void	ScaleSubdomains (double sf)
void	ScaleElements (double sf)
void	Transform (void(*f)(const Vector &, Vector &))
double	GetElementSize (int i, int type=0)
double	GetElementSize (int i, const Vector &dir)
double	GetElementVolume (int i)
void	PrintCharacteristics (Vector Vh=NULL, Vector Vk=NULL)
virtual	~Mesh ()
	Destroys mesh.
Public Attributes
Array< int >	attributes
Array< int >	bdr_attributes
NURBSExtension *	NURBSext
Protected Member Functions
Element *	NewElement (int geom)
void	Init ()
void	InitTables ()
void	DeleteTables ()
void	DeleteCoarseTables ()
Element *	ReadElement (istream &)
double	GetLength (int i, int j) const
	Return the length of the segment from node i to node j.
void	GetElementJacobian (int i, DenseMatrix &J)
void	MarkForRefinement ()
void	MarkTriMeshForRefinement ()
void	MarkTetMeshForRefinement ()
STable3D *	GetFacesTable ()
STable3D *	GetElementToFaceTable (int ret_ftbl=0)
void	RedRefinement (int i, const DSTable &v_to_v, int edge1, int edge2, int *middle)
void	GreenRefinement (int i, const DSTable &v_to_v, int edge1, int edge2, int *middle)
void	Bisection (int i, const DSTable &, int , int , int *)
void	Bisection (int i, const DSTable &, int *)
void	UniformRefinement (int i, const DSTable &, int , int , int *)
void	AverageVertices (int *indexes, int n, int result)
void	UpdateNodes ()
	Update the nodes of a curved mesh after refinement.
virtual void	QuadUniformRefinement ()
	Refine quadrilateral mesh.
virtual void	HexUniformRefinement ()
	Refine hexahedral mesh.
virtual void	NURBSUniformRefinement ()
	Refine NURBS mesh.
void	LoadPatchTopo (istream &input, Array< int > &edge_to_knot)
	Read NURBS patch/macro-element mesh.
void	UpdateNURBS ()
void	PrintTopo (ostream &out, const Array< int > &e_to_k) const
void	BisectTriTrans (DenseMatrix &pointmat, Triangle *tri, int child)
void	BisectTetTrans (DenseMatrix &pointmat, Tetrahedron *tet, int child)
int	GetFineElemPath (int i, int j)
int	GetBisectionHierarchy (Element *E)
FiniteElement *	GetTransformationFEforElementType (int)
void	GetLocalSegToTriTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...)
void	GetLocalSegToQuadTransformation (IsoparametricTransformation &loc, int i)
void	GetLocalTriToTetTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...)
void	GetLocalQuadToHexTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...)
void	GetVertexToVertexTable (DSTable &) const
int	GetElementToEdgeTable (Table &, Array< int > &)
void	AddSegmentFaceElement (int lf, int gf, int el, int v0, int v1)
	Used in GenerateFaces()
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)
void	FreeElement (Element *E)
void	GenerateFaces ()
Static Protected Member Functions
static void	PrintElement (Element *, ostream &)
static int	GetTriOrientation (const int base, const int test)
	Returns the orientation of "test" relative to "base".
static int	GetQuadOrientation (const int base, const int test)
	Returns the orientation of "test" relative to "base".
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	NumOfVertices
int	NumOfElements
int	NumOfBdrElements
int	NumOfEdges
int	NumOfFaces
int	State
int	WantTwoLevelState
int	meshgen
int	c_NumOfVertices
int	c_NumOfElements
int	c_NumOfBdrElements
int	f_NumOfVertices
int	f_NumOfElements
int	f_NumOfBdrElements
int	c_NumOfEdges
int	c_NumOfFaces
int	f_NumOfEdges
int	f_NumOfFaces
Array< Element * >	elements
Array< Vertex >	vertices
Array< Element * >	boundary
Array< Element * >	faces
Array< FaceInfo >	faces_info
Table *	el_to_edge
Table *	el_to_face
Table *	el_to_el
Array< int >	be_to_edge
Table *	bel_to_edge
Array< int >	be_to_face
Table *	face_edge
Table *	edge_vertex
Table *	c_el_to_edge
Table *	f_el_to_edge
Table *	c_bel_to_edge
Table *	f_bel_to_edge
Array< int >	fc_be_to_edge
Table *	c_el_to_face
Table *	f_el_to_face
Array< FaceInfo >	fc_faces_info
IsoparametricTransformation	Transformation
IsoparametricTransformation	Transformation2
IsoparametricTransformation	FaceTransformation
FaceElementTransformations	FaceElemTr
GridFunction *	Nodes
int	own_nodes
Friends
class	NURBSExtension

Detailed Description

Definition at line 25 of file mesh.hpp.

Member Enumeration Documentation

anonymous enum

Enumerator:

NORMAL
TWO_LEVEL_COARSE
TWO_LEVEL_FINE

Definition at line 222 of file mesh.hpp.

Constructor & Destructor Documentation

Mesh::Mesh ( ) [inline]

Definition at line 229 of file mesh.hpp.

References Dim, Init(), InitTables(), and meshgen.

Mesh::Mesh	(	int	_Dim,
		int	NVert,
		int	NElem,
		int	NBdrElem = `0`
	)

Definition at line 574 of file mesh.cpp.

References boundary, Dim, elements, Init(), InitTables(), NumOfBdrElements, NumOfElements, NumOfVertices, Array< T >::SetSize(), and vertices.

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

Creates mesh for the unit square, 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 864 of file mesh.cpp.

References Array< T >::Append(), attributes, bdr_attributes, be_to_edge, boundary, CheckBdrElementOrientation(), CheckElementOrientation(), Dim, el_to_edge, elements, GenerateFaces(), GetElementToEdgeTable(), Init(), InitTables(), MarkTriMeshForRefinement(), meshgen, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, Element::QUADRILATERAL, Array< T >::SetSize(), Element::TRIANGLE, and vertices.

Mesh::Mesh ( int n ) [explicit]

Creates 1D mesh , divided into n equal intervals.

Definition at line 1012 of file mesh.cpp.

References boundary, Dim, elements, Init(), InitTables(), meshgen, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, Array< T >::SetSize(), and vertices.

Mesh::Mesh	(	istream &	input,
		int	generate_edges = `0`,
		int	refine = `1`
	)

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

Definition at line 1048 of file mesh.cpp.

References Init(), InitTables(), and Load().

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

Create a disjoint mesh from the given mesh array.

Definition at line 2038 of file mesh.cpp.

References be_to_edge, boundary, Dim, Dimension(), Element::Duplicate(), el_to_edge, elements, GenerateFaces(), GetAttribute(), GetBdrElement(), GetElement(), NURBSExtension::GetElementLocalToGlobal(), GetElementToEdgeTable(), GetElementToFaceTable(), NURBSExtension::GetElementTopo(), GetNBE(), GetNE(), NURBSExtension::GetNE(), GetNodes(), GetNV(), NURBSExtension::GetNV(), Element::GetNVertices(), GetVertex(), NURBSExtension::GetVertexLocalToGlobal(), Element::GetVertices(), Init(), InitTables(), meshgen, MeshGenerator(), Nodes, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, NURBSext, NURBSExtension, own_nodes, SetAttributes(), Array< T >::SetSize(), and vertices.

Mesh::~Mesh ( ) [virtual]

Destroys mesh.

Definition at line 7014 of file mesh.cpp.

References boundary, DeleteTables(), elements, faces, FreeElement(), Nodes, NumOfBdrElements, NumOfElements, NURBSext, own_nodes, and Array< T >::Size().

Member Function Documentation

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

Definition at line 643 of file mesh.cpp.

References boundary, and NumOfBdrElements.

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

Definition at line 633 of file mesh.cpp.

References boundary, and NumOfBdrElements.

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

Definition at line 638 of file mesh.cpp.

References boundary, and NumOfBdrElements.

void Mesh::AddElement ( Element * elem ) [inline]

Definition at line 233 of file mesh.hpp.

References elements, and NumOfElements.

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

Definition at line 628 of file mesh.cpp.

References elements, and NumOfElements.

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

Definition at line 610 of file mesh.cpp.

References elements, and NumOfElements.

void Mesh::AddQuadFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1,
		int	v2,
		int	v3
	)		`[protected]`

Definition at line 3129 of file mesh.cpp.

References faces, faces_info, GetQuadOrientation(), GetVertices(), and mfem_error().

Referenced by GenerateFaces().

void Mesh::AddSegmentFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1
	)		`[protected]`

Used in GenerateFaces()

Definition at line 3085 of file mesh.cpp.

References faces, faces_info, and mfem_error().

Referenced by GenerateFaces().

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

Definition at line 615 of file mesh.cpp.

References elements, NumOfElements, Element::SetAttribute(), and Tetrahedron::SetVertices().

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

Definition at line 600 of file mesh.cpp.

References elements, and NumOfElements.

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

Definition at line 605 of file mesh.cpp.

References elements, and NumOfElements.

void Mesh::AddTriangleFaceElement	(	int	lf,
		int	gf,
		int	el,
		int	v0,
		int	v1,
		int	v2
	)		`[protected]`

Definition at line 3106 of file mesh.cpp.

References faces, faces_info, GetTriOrientation(), GetVertices(), and mfem_error().

Referenced by GenerateFaces().

void Mesh::AddVertex ( double * x )

Definition at line 591 of file mesh.cpp.

References Dim, NumOfVertices, and vertices.

void Mesh::AverageVertices	(	int *	indexes,
		int	n,
		int	result
	)		`[protected]`

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

Definition at line 4100 of file mesh.cpp.

References Dim, and vertices.

Referenced by HexUniformRefinement(), and QuadUniformRefinement().

void 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 4855 of file mesh.cpp.

References Array< T >::Append(), Element::BISECTED, Tetrahedron::CreateRefinementFlag(), elements, RefinedElement::FirstChild, Element::GetAttribute(), Tetrahedron::GetRefinementFlag(), Element::GetType(), Tetrahedron::GetVertices(), Triangle::GetVertices(), mfem_error(), DSTable::NumberOfRows(), NumOfElements, NumOfVertices, Tetrahedron::ParseRefinementFlag(), Element::QUADRISECTED, BisectedElement::SecondChild, Element::SetAttribute(), RefinedElement::SetCoarseElem(), Tetrahedron::SetVertices(), Triangle::SetVertices(), Element::TETRAHEDRON, Element::TRIANGLE, Tetrahedron::TYPE_A, Tetrahedron::TYPE_PF, Tetrahedron::TYPE_PU, vertices, and WantTwoLevelState.

Referenced by GreenRefinement(), and LocalRefinement().

void Mesh::Bisection	(	int	i,
		const DSTable &	v_to_v,
		int *	middle
	)		`[protected]`

Bisection. Element with index i is bisected.

Definition at line 5085 of file mesh.cpp.

References Array< T >::Append(), Element::BISECTED, boundary, RefinedElement::FirstChild, Element::GetAttribute(), Element::GetType(), Triangle::GetVertices(), mfem_error(), NumOfBdrElements, Element::QUADRISECTED, BisectedElement::SecondChild, RefinedElement::SetCoarseElem(), Element::TRIANGLE, and WantTwoLevelState.

void Mesh::BisectTetTrans	(	DenseMatrix &	pointmat,
		Tetrahedron *	tet,
		int	child
	)		`[protected]`

Definition at line 5611 of file mesh.cpp.

References Tetrahedron::ParseRefinementFlag().

Referenced by GetFineElemTrans().

void Mesh::BisectTriTrans	(	DenseMatrix &	pointmat,
		Triangle *	tri,
		int	child
	)		`[protected]`

Definition at line 5587 of file mesh.cpp.

Referenced by GetFineElemTrans().

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

Definition at line 3367 of file mesh.cpp.

References Dim, Geometries, Geometry::GetCenter(), GetElementBaseGeometry(), GetElementTransformation(), NumOfElements, NumOfVertices, and vertices.

void Mesh::CheckBdrElementOrientation ( )

Check the orientation of the boundary elements.

Definition at line 2530 of file mesh.cpp.

References be_to_edge, be_to_face, boundary, Dim, elements, faces, faces_info, GetElementType(), GetQuadOrientation(), GetTriOrientation(), Element::HEXAHEDRON, NumOfBdrElements, and Element::TETRAHEDRON.

Referenced by FinalizeHexMesh(), FinalizeQuadMesh(), FinalizeTetMesh(), FinalizeTriMesh(), HexUniformRefinement(), Load(), LoadPatchTopo(), Mesh(), and QuadUniformRefinement().

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

void Mesh::CheckElementOrientation ( )

Check the orientation of the elements.

Definition at line 2396 of file mesh.cpp.

References DenseMatrix::Det(), Dim, elements, GetElementType(), Element::HEXAHEDRON, NumOfElements, Element::QUADRILATERAL, Element::TETRAHEDRON, Element::TRIANGLE, and vertices.

Referenced by FinalizeHexMesh(), FinalizeQuadMesh(), FinalizeTetMesh(), FinalizeTriMesh(), Load(), LocalRefinement(), Mesh(), and QuadUniformRefinement().

void Mesh::CheckPartitioning ( int * partitioning )

Definition at line 3691 of file mesh.cpp.

References el_to_el, ElementToElementTable(), FindPartitioningComponents(), GetNE(), and Array< T >::Size().

void Mesh::DegreeElevate ( int t )

Definition at line 2203 of file mesh.cpp.

References NURBSExtension::ConvertToPatches(), NURBSExtension::DegreeElevate(), NURBSFECollection::GetOrder(), mfem_error(), Nodes, NURBSext, GridFunction::OwnFEC(), UpdateNURBS(), and NURBSFECollection::UpdateOrder().

Referenced by main().

void Mesh::DeleteCoarseTables ( ) [protected]

Delete the 'el_to_el', 'face_edge' and 'edge_vertex' tables. Usefull in refinement methods to destroy the coarse tables.

Definition at line 506 of file mesh.cpp.

References edge_vertex, el_to_el, and face_edge.

Referenced by HexUniformRefinement(), LocalRefinement(), QuadUniformRefinement(), and ReorientTetMesh().

void Mesh::DeleteTables ( ) [protected]

Definition at line 483 of file mesh.cpp.

References bel_to_edge, Dim, edge_vertex, el_to_edge, el_to_el, el_to_face, face_edge, and InitTables().

Referenced by Load(), and ~Mesh().

int Mesh::Dimension ( ) const [inline]

Definition at line 302 of file mesh.hpp.

References Dim.

Referenced by GridFunction::ComputeH1Error(), GridFunction::ComputeW11Error(), FiniteElementSpace::Constructor(), NURBSExtension::Dimension(), FiniteElementSpace::GetBdrElementDofs(), FiniteElementSpace::GetBE(), FiniteElementSpace::GetElementDofs(), main(), Mesh(), PrintCharacteristics(), GridFunction::ProjectCoefficient(), and GridFunction::SaveSTL().

const Table & Mesh::ElementToEdgeTable ( ) const

Definition at line 3078 of file mesh.cpp.

References el_to_edge, and mfem_error().

Referenced by ElementToElementTable(), and PrintElementsWithPartitioning().

const Table & Mesh::ElementToElementTable ( )

Definition at line 3025 of file mesh.cpp.

References Dim, el_to_el, ElementToEdgeTable(), faces_info, Table::Finalize(), Table::GetRow(), mfem_error(), NumOfElements, NumOfFaces, Table::Push(), Table::RowSize(), Array< T >::Size(), Table::Size(), and Transpose().

Referenced by CheckPartitioning(), GeneratePartitioning(), and GetElementColoring().

const Table & Mesh::ElementToFaceTable ( ) const

Definition at line 3071 of file mesh.cpp.

References el_to_face, and mfem_error().

int Mesh::EulerNumber ( ) const [inline]

Equals 1 + num_holes - num_loops.

Definition at line 296 of file mesh.hpp.

References NumOfEdges, NumOfElements, NumOfFaces, and NumOfVertices.

Referenced by PrintCharacteristics().

int Mesh::EulerNumber2D ( ) const [inline]

Equals 1 - num_holes.

Definition at line 299 of file mesh.hpp.

References NumOfEdges, NumOfElements, and NumOfVertices.

Referenced by PrintCharacteristics().

void Mesh::FinalizeHexMesh	(	int	generate_edges = `0`,
		int	refine = `0`
	)

Definition at line 839 of file mesh.cpp.

References be_to_edge, CheckBdrElementOrientation(), CheckElementOrientation(), el_to_edge, GenerateBoundaryElements(), GenerateFaces(), GetElementToEdgeTable(), GetElementToFaceTable(), meshgen, NumOfBdrElements, NumOfEdges, and SetAttributes().

void Mesh::FinalizeQuadMesh	(	int	generate_edges = `0`,
		int	refine = `0`
	)

Definition at line 719 of file mesh.cpp.

References be_to_edge, CheckBdrElementOrientation(), CheckElementOrientation(), el_to_edge, GenerateFaces(), GetElementToEdgeTable(), meshgen, NumOfEdges, NumOfFaces, and SetAttributes().

void Mesh::FinalizeTetMesh	(	int	generate_edges = `0`,
		int	refine = `0`
	)

Definition at line 801 of file mesh.cpp.

References be_to_edge, bel_to_edge, CheckBdrElementOrientation(), CheckElementOrientation(), el_to_edge, GenerateBoundaryElements(), GenerateFaces(), GetElementToEdgeTable(), GetElementToFaceTable(), MarkTetMeshForRefinement(), meshgen, NumOfBdrElements, NumOfEdges, and SetAttributes().

void Mesh::FinalizeTriMesh	(	int	generate_edges = `0`,
		int	refine = `0`
	)

Definition at line 695 of file mesh.cpp.

References be_to_edge, CheckBdrElementOrientation(), CheckElementOrientation(), el_to_edge, GenerateFaces(), GetElementToEdgeTable(), MarkTriMeshForRefinement(), meshgen, NumOfEdges, NumOfFaces, and SetAttributes().

void Mesh::FreeElement ( Element * E ) [protected]

Definition at line 6999 of file mesh.cpp.

References Element::BISECTED, Element::GetType(), and Element::TETRAHEDRON.

Referenced by GenerateBoundaryElements(), GenerateFaces(), Load(), SetState(), UpdateNURBS(), and ~Mesh().

void Mesh::GenerateBoundaryElements ( )

Definition at line 648 of file mesh.cpp.

References be_to_edge, be_to_face, bel_to_edge, boundary, Dim, faces, faces_info, FreeElement(), NumOfBdrElements, Array< T >::SetSize(), and Array< T >::Size().

Referenced by FinalizeHexMesh(), FinalizeTetMesh(), Load(), and LoadPatchTopo().

void Mesh::GenerateFaces ( ) [protected]

Definition at line 3152 of file mesh.cpp.

References AddQuadFaceElement(), AddSegmentFaceElement(), AddTriangleFaceElement(), Dim, el_to_edge, el_to_face, elements, faces, faces_info, FreeElement(), GetElementType(), Table::GetRow(), Element::HEXAHEDRON, NumOfEdges, NumOfElements, NumOfFaces, Array< T >::SetSize(), Array< T >::Size(), and Element::TETRAHEDRON.

Referenced by FinalizeHexMesh(), FinalizeQuadMesh(), FinalizeTetMesh(), FinalizeTriMesh(), HexUniformRefinement(), Load(), LoadPatchTopo(), LocalRefinement(), Mesh(), QuadUniformRefinement(), ReorientTetMesh(), and UpdateNURBS().

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

Definition at line 3410 of file mesh.cpp.

References el_to_el, ElementToElementTable(), Table::GetI(), Table::GetJ(), mfem_error(), NumOfElements, and SortPairs< int, int >().

int Mesh::GetAttribute ( int i ) const [inline]

Return the attribute of element i.

Definition at line 440 of file mesh.hpp.

References elements.

Referenced by NURBSExtension::Get2DElementTopo(), NURBSExtension::Get3DElementTopo(), GetElementTransformation(), LocalRefinement(), Mesh(), PrintVTK(), PrintWithPartitioning(), ScaleSubdomains(), SetAttributes(), and UniformRefinement().

int Mesh::GetBdrAttribute ( int i ) const [inline]

Return the attribute of boundary element i.

Definition at line 443 of file mesh.hpp.

References boundary.

Referenced by NURBSExtension::Get2DBdrElementTopo(), NURBSExtension::Get3DBdrElementTopo(), GetBdrElementTransformation(), and SetAttributes().

const Element* Mesh::GetBdrElement ( int i ) const [inline]

Definition at line 312 of file mesh.hpp.

References boundary.

Referenced by Mesh().

Element* Mesh::GetBdrElement ( int i ) [inline]

Definition at line 314 of file mesh.hpp.

References boundary.

int Mesh::GetBdrElementBaseGeometry ( int i ) const [inline]

Definition at line 323 of file mesh.hpp.

References boundary.

Referenced by FiniteElementSpace::GetBdrElementDofs(), and FiniteElementSpace::GetBE().

int Mesh::GetBdrElementEdgeIndex ( int i ) const

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

Definition at line 2867 of file mesh.cpp.

References be_to_edge, be_to_face, and Dim.

void 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 2640 of file mesh.cpp.

References be_to_edge, bel_to_edge, boundary, Dim, Table::GetRow(), mfem_error(), and Array< T >::SetSize().

Referenced by NURBSExtension::CheckBdrPatches(), FiniteElementSpace::GetBdrElementDofs(), NURBSPatchMap::GetBdrPatchKnotVectors(), and NURBSExtension::GetBdrPatchKnotVectors().

void 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 2805 of file mesh.cpp.

References be_to_face, boundary, faces, GetBdrElementType(), GetQuadOrientation(), GetTriOrientation(), mfem_error(), Element::QUADRILATERAL, State, Element::TRIANGLE, and TWO_LEVEL_COARSE.

Referenced by FiniteElementSpace::GetBdrElementDofs(), and NURBSPatchMap::GetBdrPatchKnotVectors().

ElementTransformation * Mesh::GetBdrElementTransformation ( int i )

Returns the transformation defining the i-th boundary element.

Definition at line 208 of file mesh.cpp.

References ElementTransformation::Attribute, Dim, ElementTransformation::ElementNo, FaceTransformation, GridFunction::FESpace(), GetBdrAttribute(), GetBdrElementType(), FiniteElementSpace::GetBdrElementVDofs(), GetBdrPointMatrix(), FiniteElementSpace::GetBE(), IsoparametricTransformation::GetPointMat(), GetTransformationFEforElementType(), Nodes, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), and Array< T >::Size().

int Mesh::GetBdrElementType ( int i ) const

Returns the type of boundary element i.

Definition at line 2889 of file mesh.cpp.

References Element::BISECTED, boundary, Element::GetType(), and Element::QUADRISECTED.

Referenced by GetBdrElementFace(), GetBdrElementTransformation(), GetElementToFaceTable(), and ReorientTetMesh().

void Mesh::GetBdrElementVertices	(	int	i,
		Array< int > &	dofs
	)		const `[inline]`

Returns the indices of the dofs of boundary element i.

Definition at line 331 of file mesh.hpp.

References boundary.

Referenced by FiniteElementSpace::GetBdrElementDofs(), and NURBSPatchMap::GetBdrPatchKnotVectors().

FaceElementTransformations * Mesh::GetBdrFaceTransformations ( int BdrElemNo )

Definition at line 440 of file mesh.cpp.

References ElementTransformation::Attribute, be_to_edge, be_to_face, boundary, Dim, FaceElementTransformations::Face, faces_info, and GetFaceElementTransformations().

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

Definition at line 2916 of file mesh.cpp.

References boundary, Dim, DenseMatrix::SetSize(), and vertices.

Referenced by GetBdrElementTransformation().

int Mesh::GetBisectionHierarchy ( Element * E ) [protected]

Definition at line 5405 of file mesh.cpp.

References Element::BISECTED, elements, and Element::GetType().

Referenced by GetRefinementType().

Table * Mesh::GetEdgeVertexTable ( ) const

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

Definition at line 2724 of file mesh.cpp.

References edge_vertex, Table::Finalize(), GetVertexToVertexTable(), DSTable::NumberOfEntries(), NumOfVertices, and Table::Push().

Referenced by GetEdgeVertices().

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

Returns the indices of the vertices of edge i.

Definition at line 2688 of file mesh.cpp.

References Dim, edge_vertex, faces, GetEdgeVertexTable(), Table::GetRow(), NumOfEdges, and Array< T >::Size().

Referenced by FiniteElementSpace::GetEdgeDofs(), and PrintElementsWithPartitioning().

Element* Mesh::GetElement ( int i ) [inline]

Definition at line 310 of file mesh.hpp.

References elements.

const Element* Mesh::GetElement ( int i ) const [inline]

Definition at line 308 of file mesh.hpp.

References elements.

Referenced by Mesh().

void Mesh::GetElementArrayEdgeTable	(	const Array< Element * > &	elem_array,
		const DSTable &	v_to_v,
		Table &	el_to_edge
	)		`[static, protected]`

Definition at line 2943 of file mesh.cpp.

References Table::AddColumnsInRow(), Table::AddConnection(), GetNEdges(), Table::MakeI(), Table::MakeJ(), Table::ShiftUpI(), and Array< T >::Size().

Referenced by GetElementToEdgeTable(), and GetFaceEdgeTable().

int Mesh::GetElementBaseGeometry ( int i ) const [inline]

Definition at line 320 of file mesh.hpp.

References elements.

Referenced by CartesianPartitioning(), FiniteElementSpace::Constructor(), FiniteElementSpace::ConstructRefinementData(), FiniteElementSpace::GetElementDofs(), GetElementJacobian(), GetElementVolume(), FiniteElementSpace::GetFE(), FiniteElementSpace::GetOrder(), Load(), PrintVTK(), and GridFunction::SaveVTK().

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

Definition at line 6369 of file mesh.cpp.

References el_to_el, ElementToElementTable(), Table::GetI(), Table::GetJ(), GetNE(), and Array< T >::SetSize().

Referenced by PrintVTK().

void 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 2621 of file mesh.cpp.

References el_to_edge, elements, Table::GetRow(), mfem_error(), and Array< T >::SetSize().

Referenced by NURBSExtension::CheckPatches(), NURBSExtension::GenerateOffsets(), FiniteElementSpace::GetElementDofs(), NURBSPatchMap::GetPatchKnotVectors(), NURBSExtension::GetPatchKnotVectors(), NURBSExtension::KnotInsert(), and NURBSExtension::NURBSExtension().

void 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 2779 of file mesh.cpp.

References el_to_face, faces_info, Table::GetRow(), mfem_error(), Array< T >::SetSize(), and Array< T >::Size().

Referenced by FiniteElementSpace::GetElementDofs(), and NURBSPatchMap::GetPatchKnotVectors().

void 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 25 of file mesh.cpp.

References Geometries, Geometry::GetCenter(), GetElementBaseGeometry(), GetElementTransformation(), ElementTransformation::Jacobian(), Geometry::JacToPerfJac(), and ElementTransformation::SetIntPoint().

Referenced by GetElementSize(), and PrintCharacteristics().

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

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

Definition at line 33 of file mesh.cpp.

References DenseMatrix::CalcSingularvalue(), DenseMatrix::Det(), Dim, and GetElementJacobian().

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

Definition at line 45 of file mesh.cpp.

References Dim, GetElementJacobian(), and DenseMatrix::MultTranspose().

int Mesh::GetElementToEdgeTable	(	Table &	e_to_f,
		Array< int > &	be_to_f
	)		`[protected]`

Return element to edge table and the indeces 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 2990 of file mesh.cpp.

References bel_to_edge, boundary, Dim, elements, GetElementArrayEdgeTable(), GetVertexToVertexTable(), mfem_error(), DSTable::NumberOfEntries(), NumOfBdrElements, NumOfVertices, and Array< T >::SetSize().

Referenced by FinalizeHexMesh(), FinalizeQuadMesh(), FinalizeTetMesh(), FinalizeTriMesh(), HexUniformRefinement(), Load(), LoadPatchTopo(), LocalRefinement(), Mesh(), QuadUniformRefinement(), ReorientTetMesh(), and UpdateNURBS().

STable3D * Mesh::GetElementToFaceTable ( int ret_ftbl = 0 ) [protected]

Definition at line 3236 of file mesh.cpp.

References be_to_face, boundary, el_to_face, elements, Table::Finalize(), GetBdrElementType(), GetElementType(), Element::HEXAHEDRON, STable3D::NumberOfElements(), NumOfBdrElements, NumOfElements, NumOfFaces, NumOfVertices, STable3D::Push(), Table::Push(), STable3D::Push4(), Element::QUADRILATERAL, Array< T >::SetSize(), Element::TETRAHEDRON, and Element::TRIANGLE.

Referenced by FinalizeHexMesh(), FinalizeTetMesh(), HexUniformRefinement(), Load(), LoadPatchTopo(), LocalRefinement(), Mesh(), ReorientTetMesh(), and UpdateNURBS().

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

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

Definition at line 148 of file mesh.cpp.

References ElementTransformation::Attribute, Dim, ElementTransformation::ElementNo, GridFunction::FESpace(), GetAttribute(), GetElementType(), FiniteElementSpace::GetElementVDofs(), FiniteElementSpace::GetFE(), IsoparametricTransformation::GetPointMat(), GetPointMatrix(), GetTransformationFEforElementType(), Nodes, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), and Array< T >::Size().

Referenced by CartesianPartitioning(), GridFunction::ComputeH1Error(), ComputeLpNorm(), GridFunction::ComputeW11Error(), GetElementJacobian(), GetElementTransformation(), FiniteElementSpace::GetElementTransformation(), GetElementVolume(), GetFaceElementTransformations(), and PrintVTK().

ElementTransformation * Mesh::GetElementTransformation ( int i )

Returns the transformation defining the i-th element.

Definition at line 201 of file mesh.cpp.

References GetElementTransformation(), and Transformation.

void 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 171 of file mesh.cpp.

References ElementTransformation::Attribute, Dim, ElementTransformation::ElementNo, elements, GridFunction::FESpace(), GetAttribute(), GetElementType(), FiniteElementSpace::GetElementVDofs(), FiniteElementSpace::GetFE(), IsoparametricTransformation::GetPointMat(), GetTransformationFEforElementType(), Nodes, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), Array< T >::Size(), and vertices.

int Mesh::GetElementType ( int i ) const

Returns the type of element i.

Definition at line 2874 of file mesh.cpp.

References Element::BISECTED, elements, Element::GetType(), Element::OCTASECTED, and Element::QUADRISECTED.

Referenced by CheckBdrElementOrientation(), CheckElementOrientation(), ComputeLpNorm(), GenerateFaces(), GetElementToFaceTable(), GetElementTransformation(), GetFaceBaseGeometry(), GetFaceElementTransformations(), GetFacesTable(), and ReorientTetMesh().

void Mesh::GetElementVertices	(	int	i,
		Array< int > &	dofs
	)		const `[inline]`

Returns the indices of the dofs of element i.

Definition at line 327 of file mesh.hpp.

References elements.

Referenced by FiniteElementSpace::GetElementDofs(), NURBSPatchMap::GetPatchKnotVectors(), GridFunction::ProjectCoefficient(), ScaleElements(), and ScaleSubdomains().

double Mesh::GetElementVolume ( int i )

Definition at line 54 of file mesh.cpp.

References IntegrationRules::Get(), GetElementBaseGeometry(), GetElementTransformation(), IntegrationRule::GetNPoints(), IntegrationRule::IntPoint(), IntRules, ElementTransformation::OrderJ(), ElementTransformation::SetIntPoint(), ElementTransformation::Weight(), and IntegrationPoint::weight.

const Element* Mesh::GetFace ( int i ) const [inline]

Definition at line 316 of file mesh.hpp.

References faces.

int Mesh::GetFaceBaseGeometry ( int i ) const

Definition at line 2834 of file mesh.cpp.

References faces, faces_info, GetElementType(), Element::HEXAHEDRON, mfem_error(), Element::QUADRILATERAL, Geometry::SEGMENT, Geometry::SQUARE, Element::TETRAHEDRON, Geometry::TRIANGLE, and Element::TRIANGLE.

Referenced by FiniteElementSpace::Constructor(), FiniteElementSpace::GetElementDofs(), and Load().

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

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

Definition at line 2669 of file mesh.cpp.

References Dim, face_edge, faces, GetFaceEdgeTable(), Table::GetRow(), and Array< T >::SetSize().

Referenced by NURBSExtension::GenerateOffsets(), and FiniteElementSpace::GetFaceDofs().

Table * Mesh::GetFaceEdgeTable ( ) const

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

Definition at line 2702 of file mesh.cpp.

References Dim, face_edge, faces, GetElementArrayEdgeTable(), GetVertexToVertexTable(), mfem_error(), NumOfFaces, NumOfVertices, and Array< T >::Size().

Referenced by GetFaceEdges().

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

Definition at line 455 of file mesh.cpp.

References faces_info.

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

Returns (a poiter 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. 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 355 of file mesh.cpp.

Referenced by GridFunction::ComputeH1Error(), GetBdrFaceTransformations(), GridFunction::GetFaceValues(), GridFunction::GetFaceVectorValues(), and GetInteriorFaceTransformations().

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

Definition at line 461 of file mesh.cpp.

References faces_info.

STable3D * Mesh::GetFacesTable ( ) [protected]

Definition at line 3207 of file mesh.cpp.

References elements, GetElementType(), Element::HEXAHEDRON, NumOfElements, NumOfVertices, STable3D::Push(), STable3D::Push4(), and Element::TETRAHEDRON.

ElementTransformation * Mesh::GetFaceTransformation ( int FaceNo )

Returns the transformation defining the given face element.

Definition at line 248 of file mesh.cpp.

References FaceTransformation, and GetFaceTransformation().

void 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 234 of file mesh.cpp.

References ElementTransformation::Attribute, Dim, ElementTransformation::ElementNo, faces, IsoparametricTransformation::GetPointMat(), GetTransformationFEforElementType(), IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), and vertices.

Referenced by GetFaceElementTransformations(), and GetFaceTransformation().

void Mesh::GetFaceVertices	(	int	i,
		Array< int > &	vert
	)		const `[inline]`

Returns the indices of the vertices of face i.

Definition at line 344 of file mesh.hpp.

References faces, and GetVertices().

Referenced by FiniteElementSpace::GetFaceDofs().

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

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

Definition at line 5499 of file mesh.cpp.

References Element::BISECTED, QuadrisectedElement::Child2, QuadrisectedElement::Child3, QuadrisectedElement::Child4, RefinedElement::CoarseElem, Dim, elements, RefinedElement::FirstChild, Element::GetType(), Element::OCTASECTED, Element::QUADRILATERAL, Element::QUADRISECTED, and BisectedElement::SecondChild.

int Mesh::GetFineElemPath	(	int	i,
		int	j
	)		`[protected]`

Definition at line 5656 of file mesh.cpp.

References Element::BISECTED, elements, RefinedElement::FirstChild, Element::GetType(), and BisectedElement::SecondChild.

Referenced by GetFineElemTrans().

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

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

Definition at line 5689 of file mesh.cpp.

References ElementTransformation::Attribute, Element::BISECTED, BisectTetTrans(), BisectTriTrans(), RefinedElement::CoarseElem, Dim, ElementTransformation::ElementNo, elements, RefinedElement::FirstChild, GetFineElemPath(), IsoparametricTransformation::GetPointMat(), Element::GetType(), HexahedronFE, mfem_error(), Element::OCTASECTED, Element::QUADRILATERAL, QuadrilateralFE, Element::QUADRISECTED, BisectedElement::SecondChild, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), TetrahedronFE, Transformation, and TriangleFE.

FaceElementTransformations* Mesh::GetInteriorFaceTransformations ( int FaceNo ) [inline]

Definition at line 425 of file mesh.hpp.

References faces_info, and GetFaceElementTransformations().

double Mesh::GetLength	(	int	i,
		int	j
	)		const `[protected]`

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

Definition at line 2930 of file mesh.cpp.

References Dim, and vertices.

Referenced by MarkTetMeshForRefinement().

void Mesh::GetLocalQuadToHexTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)		`[protected]`

Used in GetFaceElementTransformations (...)

Definition at line 326 of file mesh.cpp.

References Geometry::CUBE, Geometries, IsoparametricTransformation::GetPointMat(), Geometry::GetVertices(), IntegrationRule::IntPoint(), QuadrilateralFE, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), IntegrationPoint::x, IntegrationPoint::y, and IntegrationPoint::z.

Referenced by GetFaceElementTransformations().

void Mesh::GetLocalSegToQuadTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)		`[protected]`

Definition at line 276 of file mesh.cpp.

References Geometries, IsoparametricTransformation::GetPointMat(), Geometry::GetVertices(), IntegrationRule::IntPoint(), SegmentFE, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), Geometry::SQUARE, IntegrationPoint::x, and IntegrationPoint::y.

Referenced by GetFaceElementTransformations().

void Mesh::GetLocalSegToTriTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)		`[protected]`

Used in GetFaceElementTransformations (...)

Definition at line 254 of file mesh.cpp.

References Geometries, IsoparametricTransformation::GetPointMat(), Geometry::GetVertices(), IntegrationRule::IntPoint(), SegmentFE, IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), Geometry::TRIANGLE, IntegrationPoint::x, and IntegrationPoint::y.

Referenced by GetFaceElementTransformations().

void Mesh::GetLocalTriToTetTransformation	(	IsoparametricTransformation &	loc,
		int	i
	)		`[protected]`

Used in GetFaceElementTransformations (...)

Definition at line 298 of file mesh.cpp.

References Geometries, IsoparametricTransformation::GetPointMat(), Geometry::GetVertices(), IntegrationRule::IntPoint(), IsoparametricTransformation::SetFE(), DenseMatrix::SetSize(), Geometry::TETRAHEDRON, TriangleFE, IntegrationPoint::x, IntegrationPoint::y, and IntegrationPoint::z.

Referenced by GetFaceElementTransformations().

int Mesh::GetNBE ( ) const [inline]

Returns number of boundary elements.

Definition at line 288 of file mesh.hpp.

References NumOfBdrElements.

Referenced by NURBSExtension::GetNBP(), Mesh(), PrintCharacteristics(), and SetAttributes().

int Mesh::GetNE ( ) const [inline]

Returns number of elements.

Definition at line 285 of file mesh.hpp.

References NumOfElements.

Referenced by CheckPartitioning(), GridFunction::ComputeH1Error(), ComputeLpNorm(), GridFunction::ComputeW11Error(), FiniteElementSpace::Constructor(), NURBSExtension::GenerateOffsets(), GetElementColoring(), NURBSExtension::GetNP(), main(), Mesh(), PrintCharacteristics(), PrintVTK(), GridFunction::ProjectCoefficient(), GridFunction::SaveSTL(), GridFunction::SaveVTK(), SetAttributes(), and UniformRefinement().

int Mesh::GetNEdges ( ) const [inline]

Return the number of edges.

Definition at line 291 of file mesh.hpp.

References NumOfEdges.

Referenced by FiniteElementSpace::Constructor(), NURBSExtension::GenerateOffsets(), GetElementArrayEdgeTable(), NURBSExtension::NURBSExtension(), and PrintCharacteristics().

int Mesh::GetNFaces ( ) const [inline]

Definition at line 293 of file mesh.hpp.

References NumOfFaces.

Referenced by GridFunction::ComputeH1Error(), FiniteElementSpace::Constructor(), NURBSExtension::GenerateOffsets(), and PrintCharacteristics().

const FiniteElementSpace * Mesh::GetNodalFESpace ( )

Definition at line 2391 of file mesh.cpp.

References GridFunction::FESpace(), and Nodes.

void Mesh::GetNodes ( Vector & node_coord ) const

Definition at line 4077 of file mesh.cpp.

References GetVertices(), and Nodes.

Referenced by main(), and Mesh().

GridFunction* Mesh::GetNodes ( ) [inline]

Return a pointer to the internal node grid function.

Definition at line 481 of file mesh.hpp.

References Nodes.

Referenced by Mesh().

int Mesh::GetNumFineElems ( int i )

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

Definition at line 5351 of file mesh.cpp.

References Element::BISECTED, Dim, elements, RefinedElement::FirstChild, Element::GetType(), Element::OCTASECTED, Element::QUADRISECTED, and BisectedElement::SecondChild.

int Mesh::GetNV ( ) const [inline]

Returns number of vertices.

Definition at line 282 of file mesh.hpp.

References NumOfVertices.

Referenced by FiniteElementSpace::Constructor(), NURBSExtension::GenerateOffsets(), Mesh(), PrintCharacteristics(), and GridFunction::ProjectCoefficient().

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

Definition at line 2902 of file mesh.cpp.

References Dim, elements, DenseMatrix::SetSize(), and vertices.

Referenced by GetElementTransformation(), MarkTriMeshForRefinement(), ScaleElements(), and ScaleSubdomains().

int Mesh::GetQuadOrientation	(	const int *	base,
		const int *	test
	)		`[static, protected]`

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

Definition at line 2490 of file mesh.cpp.

References mfem_error().

Referenced by AddQuadFaceElement(), CheckBdrElementOrientation(), GetBdrElementFace(), and Load().

int Mesh::GetRefinementType ( int i )

For a given coarse element i returns its refinement type.

Definition at line 5444 of file mesh.cpp.

References Element::BISECTED, Dim, elements, GetBisectionHierarchy(), Element::GetType(), mfem_error(), Element::OCTASECTED, Tetrahedron::ParseRefinementFlag(), Element::QUADRILATERAL, Element::QUADRISECTED, Tetrahedron::TYPE_A, and Tetrahedron::TYPE_M.

FiniteElement * Mesh::GetTransformationFEforElementType ( int ElemType ) [protected]

Definition at line 132 of file mesh.cpp.

References Element::HEXAHEDRON, HexahedronFE, mfem_error(), Element::POINT, PointFE, Element::QUADRILATERAL, QuadrilateralFE, Element::SEGMENT, SegmentFE, Element::TETRAHEDRON, TetrahedronFE, Element::TRIANGLE, and TriangleFE.

Referenced by CheckDisplacements(), GetBdrElementTransformation(), GetElementTransformation(), and GetFaceTransformation().

int Mesh::GetTriOrientation	(	const int *	base,
		const int *	test
	)		`[static, protected]`

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

Definition at line 2457 of file mesh.cpp.

References mfem_error().

Referenced by AddTriangleFaceElement(), CheckBdrElementOrientation(), GetBdrElementFace(), and Load().

const double* Mesh::GetVertex ( int i ) const [inline]

Return pointer to vertex i's coordinates.

Definition at line 305 of file mesh.hpp.

References vertices.

Referenced by Mesh(), and GridFunction::ProjectCoefficient().

double* Mesh::GetVertex ( int i ) [inline]

Definition at line 306 of file mesh.hpp.

References vertices.

Table * Mesh::GetVertexToElementTable ( )

The returned Table must be destroyed by the caller.

Definition at line 2748 of file mesh.cpp.

References Table::AddAColumnInRow(), Table::AddConnection(), elements, Table::MakeI(), Table::MakeJ(), NumOfElements, NumOfVertices, and Table::ShiftUpI().

void 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 2965 of file mesh.cpp.

References edge_vertex, elements, Table::GetRow(), NumOfElements, DSTable::Push(), and Table::Size().

Referenced by GetEdgeVertexTable(), GetElementToEdgeTable(), GetFaceEdgeTable(), Load(), LocalRefinement(), and MarkTetMeshForRefinement().

void Mesh::GetVertices ( Vector & vert_coord ) const

Definition at line 4053 of file mesh.cpp.

References Dim, Vector::SetSize(), Array< T >::Size(), and vertices.

Referenced by AddQuadFaceElement(), AddTriangleFaceElement(), GetFaceVertices(), and GetNodes().

void Mesh::GreenRefinement	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)		`[inline, protected]`

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

Definition at line 121 of file mesh.hpp.

References Bisection().

Referenced by LocalRefinement().

void Mesh::HexUniformRefinement ( ) [protected, virtual]

Refine hexahedral mesh.

Reimplemented in ParMesh.

Definition at line 4280 of file mesh.cpp.

References AverageVertices(), be_to_edge, be_to_face, bel_to_edge, boundary, c_bel_to_edge, c_el_to_edge, c_el_to_face, c_NumOfBdrElements, c_NumOfEdges, c_NumOfElements, c_NumOfFaces, c_NumOfVertices, CheckBdrElementOrientation(), OctasectedElement::Child, QuadrisectedElement::Child2, QuadrisectedElement::Child3, QuadrisectedElement::Child4, DeleteCoarseTables(), el_to_edge, el_to_face, elements, f_bel_to_edge, f_el_to_edge, f_el_to_face, f_NumOfBdrElements, f_NumOfEdges, f_NumOfElements, f_NumOfFaces, f_NumOfVertices, faces_info, fc_faces_info, RefinedElement::FINE, RefinedElement::FirstChild, GenerateFaces(), GetElementToEdgeTable(), GetElementToFaceTable(), Table::GetRow(), Nodes, NORMAL, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, Array< T >::SetSize(), SetState(), State, RefinedElement::State, Swap(), TWO_LEVEL_FINE, UpdateNodes(), UseTwoLevelState(), vertices, and WantTwoLevelState.

Referenced by UniformRefinement().

void Mesh::Init ( ) [protected]

Definition at line 467 of file mesh.cpp.

References Nodes, NORMAL, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfVertices, NURBSext, own_nodes, State, and WantTwoLevelState.

Referenced by LoadPatchTopo(), and Mesh().

void Mesh::InitTables ( ) [protected]

Definition at line 477 of file mesh.cpp.

References bel_to_edge, edge_vertex, el_to_edge, el_to_el, el_to_face, and face_edge.

Referenced by DeleteTables(), Load(), LoadPatchTopo(), and Mesh().

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

Definition at line 2178 of file mesh.cpp.

References NURBSExtension::ConvertToPatches(), NURBSExtension::GetNKV(), NURBSExtension::KnotInsert(), mfem_error(), Nodes, NURBSext, Array< T >::Size(), and UpdateNURBS().

void Mesh::Load	(	istream &	input,
		int	generate_edges = `0`,
		int	refine = `1`
	)

Definition at line 1120 of file mesh.cpp.

References Table::AddColumnsInRow(), Table::AddConnections(), be_to_edge, be_to_face, boundary, Ordering::byVDIM, c_el_to_edge, CheckBdrElementOrientation(), CheckElementOrientation(), Geometry::CUBE, Array< T >::DeleteAll(), DeleteTables(), Vector::Destroy(), Dim, NURBSExtension::Dimension(), FiniteElementCollection::DofForGeometry(), FiniteElementCollection::DofOrderForOrientation(), FiniteElementSpace::DofsToVDofs(), el_to_edge, elements, faces, faces_info, FiniteElementSpace::FEColl(), GridFunction::FESpace(), FreeElement(), GenerateBoundaryElements(), GenerateFaces(), NURBSExtension::GetBdrElementTopo(), GetElementBaseGeometry(), FiniteElementSpace::GetElementDofs(), GetElementToEdgeTable(), GetElementToFaceTable(), NURBSExtension::GetElementTopo(), GetFaceBaseGeometry(), NURBSExtension::GetNBE(), NURBSExtension::GetNE(), GridFunction::GetNodalValues(), NURBSExtension::GetNV(), NURBSExtension::GetOrder(), GetQuadOrientation(), Table::GetRow(), GetTriOrientation(), GetVertexToVertexTable(), NURBSExtension::HavePatches(), Element::HEXAHEDRON, InitTables(), Table::MakeI(), Table::MakeJ(), GridFunction::MakeOwner(), MarkForRefinement(), meshgen, mfem_error(), Nodes, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, NURBSext, NURBSExtension, own_nodes, Geometry::POINT, Element::QUADRILATERAL, ReadElement(), Table::RowSize(), Geometry::SEGMENT, Element::SEGMENT, Element::SetAttribute(), SetAttributes(), NURBSExtension::SetCoordsFromPatches(), Vector::SetSize(), Array< T >::SetSize(), Tetrahedron::SetVertices(), Table::ShiftUpI(), Vector::Size(), Array< T >::Size(), skip_comment_lines(), Geometry::SQUARE, Element::TETRAHEDRON, Geometry::TETRAHEDRON, Element::TRIANGLE, Geometry::TRIANGLE, GridFunction::VectorDim(), and vertices.

Referenced by Mesh().

void Mesh::LoadPatchTopo	(	istream &	input,
		Array< int > &	edge_to_knot
	)		`[protected]`

Read NURBS patch/macro-element mesh.

Definition at line 2275 of file mesh.cpp.

References be_to_edge, boundary, CheckBdrElementOrientation(), Dim, edge_vertex, el_to_edge, elements, GenerateBoundaryElements(), GenerateFaces(), GetElementToEdgeTable(), GetElementToFaceTable(), Table::GetRow(), Init(), InitTables(), meshgen, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, ReadElement(), SetAttributes(), Array< T >::SetSize(), skip_comment_lines(), and vertices.

Referenced by NURBSExtension::NURBSExtension().

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

Refine the marked elements.

Reimplemented in ParMesh.

Definition at line 4502 of file mesh.cpp.

References Array< T >::Append(), be_to_edge, bel_to_edge, Element::BISECTED, Bisection(), boundary, c_bel_to_edge, c_el_to_edge, c_el_to_face, c_NumOfBdrElements, c_NumOfEdges, c_NumOfElements, c_NumOfFaces, c_NumOfVertices, CheckElementOrientation(), DeleteCoarseTables(), Dim, el_to_edge, el_to_face, elements, f_bel_to_edge, f_el_to_edge, f_el_to_face, f_NumOfBdrElements, f_NumOfEdges, f_NumOfElements, f_NumOfFaces, f_NumOfVertices, faces_info, fc_be_to_edge, fc_faces_info, RefinedElement::FINE, RefinedElement::FirstChild, GenerateFaces(), GetAttribute(), GetElementToEdgeTable(), GetElementToFaceTable(), Element::GetType(), GetVertexToVertexTable(), GreenRefinement(), mfem_error(), Nodes, NORMAL, DSTable::NumberOfEntries(), NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, RedRefinement(), BisectedElement::SecondChild, Element::SEGMENT, RefinedElement::SetCoarseElem(), Array< T >::SetSize(), SetState(), Array< T >::Size(), State, RefinedElement::State, Swap(), TWO_LEVEL_FINE, Tetrahedron::TYPE_PF, Tetrahedron::TYPE_PU, UpdateNodes(), UseTwoLevelState(), vertices, and WantTwoLevelState.

Referenced by UniformRefinement().

void Mesh::MarkForRefinement ( ) [protected]

Definition at line 740 of file mesh.cpp.

References Dim, MarkTetMeshForRefinement(), MarkTriMeshForRefinement(), and meshgen.

Referenced by Load().

void Mesh::MarkTetMeshForRefinement ( ) [protected]

Definition at line 764 of file mesh.cpp.

References boundary, edge_length::edge, elements, GetLength(), GetVertexToVertexTable(), edge_length::length, DSTable::NumberOfEntries(), NumOfBdrElements, NumOfEdges, NumOfElements, NumOfVertices, Element::TETRAHEDRON, and Element::TRIANGLE.

Referenced by FinalizeTetMesh(), and MarkForRefinement().

void Mesh::MarkTriMeshForRefinement ( ) [protected]

Definition at line 751 of file mesh.cpp.

References elements, GetPointMatrix(), NumOfElements, and Element::TRIANGLE.

Referenced by FinalizeTriMesh(), MarkForRefinement(), and Mesh().

int Mesh::MeshGenerator ( ) [inline]

Truegrid or NetGen?

Definition at line 279 of file mesh.hpp.

References meshgen.

Referenced by Mesh().

void Mesh::MoveNodes ( const Vector & displacements )

Definition at line 4069 of file mesh.cpp.

References MoveVertices(), and Nodes.

void Mesh::MoveVertices ( const Vector & displacements )

Definition at line 4046 of file mesh.cpp.

References Dim, Array< T >::Size(), and vertices.

Referenced by MoveNodes().

Element * Mesh::NewElement ( int geom ) [protected]

Definition at line 1055 of file mesh.cpp.

References Geometry::CUBE, Geometry::SEGMENT, Geometry::SQUARE, Geometry::TETRAHEDRON, and Geometry::TRIANGLE.

Referenced by ReadElement().

void Mesh::NewNodes ( GridFunction & nodes )

Definition at line 4093 of file mesh.cpp.

References Nodes, and own_nodes.

void Mesh::NURBSUniformRefinement ( ) [protected, virtual]

Refine NURBS mesh.

Reimplemented in ParMesh.

Definition at line 2193 of file mesh.cpp.

References NURBSExtension::ConvertToPatches(), Nodes, NURBSext, NURBSExtension::UniformRefinement(), and UpdateNURBS().

Referenced by UniformRefinement().

void Mesh::Print ( ostream & out = cout ) const [virtual]

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

Reimplemented in ParMesh.

Definition at line 6002 of file mesh.cpp.

References boundary, Dim, elements, Nodes, NumOfBdrElements, NumOfElements, NumOfVertices, NURBSext, NURBSExtension::Print(), PrintElement(), GridFunction::Save(), and vertices.

Referenced by main().

void Mesh::PrintCharacteristics	(	Vector *	Vh = `NULL`,
		Vector *	Vk = `NULL`
	)

Definition at line 70 of file mesh.cpp.

References DenseMatrix::CalcSingularvalue(), DenseMatrix::Det(), Dimension(), EulerNumber(), EulerNumber2D(), GetElementJacobian(), GetNBE(), GetNE(), GetNEdges(), GetNFaces(), GetNV(), kappa, NumOfElements, Vector::SetSize(), and DenseMatrix::SetSize().

void Mesh::PrintElement	(	Element *	el,
		ostream &	out
	)		`[static, protected]`

Definition at line 1090 of file mesh.cpp.

References Element::GetAttribute(), Element::GetGeometryType(), Element::GetNVertices(), and Element::GetVertices().

Referenced by Print(), and PrintTopo().

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

Definition at line 6532 of file mesh.cpp.

References Dim, elements, ElementToEdgeTable(), faces, faces_info, GetEdgeVertices(), Table::GetRow(), meshgen, NumOfElements, NumOfFaces, NumOfVertices, Table::RowSize(), Table::Size(), Transpose(), and vertices.

void Mesh::PrintTopo	(	ostream &	out,
		const Array< int > &	e_to_k
	)		const `[protected]`

Definition at line 6055 of file mesh.cpp.

References boundary, Dim, edge_vertex, elements, Table::GetRow(), NumOfBdrElements, NumOfEdges, NumOfElements, NumOfVertices, and PrintElement().

Referenced by NURBSExtension::Print().

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

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

Definition at line 6238 of file mesh.cpp.

References attributes, Geometry::CUBE, Geometries, GetAttribute(), GetElementBaseGeometry(), GetElementColoring(), GetElementTransformation(), GetNE(), IntegrationRule::GetNPoints(), Geometry::GetVertices(), GlobGeometryRefiner, DenseMatrix::Height(), RefinedGeometry::RefGeoms, GeometryRefiner::Refine(), RefinedGeometry::RefPts, Array< T >::Size(), Geometry::SQUARE, Geometry::TETRAHEDRON, Geometry::TRIANGLE, and DenseMatrix::Width().

void Mesh::PrintVTK ( ostream & out )

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

Definition at line 6091 of file mesh.cpp.

References Geometry::CUBE, Dim, FiniteElementSpace::DofsToVDofs(), elements, FiniteElementSpace::FEColl(), GridFunction::FESpace(), FiniteElementSpace::GetElementDofs(), FiniteElementSpace::GetNDofs(), mfem_error(), FiniteElementCollection::Name(), Nodes, NumOfElements, NumOfVertices, Array< T >::SetSize(), Array< T >::Size(), Geometry::SQUARE, Geometry::TETRAHEDRON, Geometry::TRIANGLE, and vertices.

void Mesh::PrintWithPartitioning	(	int *	partitioning,
		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.

Definition at line 6436 of file mesh.cpp.

References Dim, elements, faces, faces_info, GetAttribute(), Nodes, NumOfElements, NumOfFaces, NumOfVertices, GridFunction::Save(), and vertices.

void Mesh::PrintXG ( ostream & out = cout ) const [virtual]

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

Reimplemented in ParMesh.

Definition at line 5859 of file mesh.cpp.

References boundary, Dim, elements, meshgen, mfem_error(), Nodes, NumOfBdrElements, NumOfElements, NumOfVertices, GridFunction::Save(), Array< T >::Size(), and vertices.

void Mesh::QuadUniformRefinement ( ) [protected, virtual]

Refine quadrilateral mesh.

Reimplemented in ParMesh.

Definition at line 4133 of file mesh.cpp.

References AverageVertices(), be_to_edge, boundary, c_el_to_edge, c_NumOfBdrElements, c_NumOfEdges, c_NumOfElements, c_NumOfVertices, CheckBdrElementOrientation(), CheckElementOrientation(), QuadrisectedElement::Child2, QuadrisectedElement::Child3, QuadrisectedElement::Child4, DeleteCoarseTables(), el_to_edge, elements, f_el_to_edge, f_NumOfBdrElements, f_NumOfEdges, f_NumOfElements, f_NumOfVertices, fc_be_to_edge, RefinedElement::FINE, RefinedElement::FirstChild, GenerateFaces(), GetElementToEdgeTable(), Table::GetRow(), Nodes, NORMAL, NumOfBdrElements, NumOfEdges, NumOfElements, NumOfFaces, NumOfVertices, BisectedElement::SecondChild, RefinedElement::SetCoarseElem(), Array< T >::SetSize(), SetState(), State, RefinedElement::State, Swap(), TWO_LEVEL_FINE, UpdateNodes(), UseTwoLevelState(), vertices, and WantTwoLevelState.

Referenced by UniformRefinement().

Element * Mesh::ReadElement ( istream & input ) [protected]

Definition at line 1074 of file mesh.cpp.

References Element::GetNVertices(), Element::GetVertices(), NewElement(), and Element::SetAttribute().

Referenced by Load(), and LoadPatchTopo().

void Mesh::RedRefinement	(	int	i,
		const DSTable &	v_to_v,
		int *	edge1,
		int *	edge2,
		int *	middle
	)		`[inline, protected]`

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

Definition at line 115 of file mesh.hpp.

References UniformRefinement().

Referenced by LocalRefinement().

void 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 ParMesh.

Definition at line 3291 of file mesh.cpp.

References be_to_edge, boundary, DeleteCoarseTables(), Dim, el_to_edge, elements, GenerateFaces(), GetBdrElementType(), GetElementToEdgeTable(), GetElementToFaceTable(), GetElementType(), meshgen, NumOfBdrElements, NumOfEdges, NumOfElements, Rotate3(), ShiftL2R(), Element::TETRAHEDRON, and Element::TRIANGLE.