#include <mesh.hpp>

Inheritance diagram for mfem::Mesh:

Collaboration diagram for mfem::Mesh:

Classes
struct	FaceInfo

class	GeometryList
	List of mesh geometries stored as Array<Geometry::Type>. More...

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

typedef Geometry::Constants < Geometry::PRISM >	pri_t

Public Member Functions
	Mesh ()

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

	Mesh (Mesh &&mesh)
	Move constructor, useful for using a Mesh as a function return value. More...

Mesh &	operator= (Mesh &&mesh)
	Move assignment operstor. More...

Mesh &	operator= (Mesh &mesh)=delete
	Explicitly delete the copy assignment operator. More...

std::vector< int >	CreatePeriodicVertexMapping (const std::vector< Vector > &translations, double tol=1e-8) const
	Creates a mapping v2v from the vertex indices of the mesh such that coincident vertices under the given translations are identified. More...

	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 (bool generate_bdr=true)
	Finalize the construction of the secondary topology (connectivity) data of a Mesh. More...

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

virtual void	SetAttributes ()

double	GetGeckoElementOrdering (Array< int > &ordering, int iterations=4, int window=4, int period=2, int seed=0, bool verbose=false, double time_limit=0)

void	GetHilbertElementOrdering (Array< int > &ordering)

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

MFEM_DEPRECATED	Mesh (int nx, int ny, int nz, Element::Type type, bool generate_edges=false, double sx=1.0, double sy=1.0, double sz=1.0, bool sfc_ordering=true)
	Deprecated: see MakeCartesian3D. More...

MFEM_DEPRECATED	Mesh (int nx, int ny, Element::Type type, bool generate_edges=false, double sx=1.0, double sy=1.0, bool sfc_ordering=true)
	Deprecated: see MakeCartesian2D. More...

MFEM_DEPRECATED	Mesh (int n, double sx=1.0)
	Deprecated: see MakeCartesian1D. More...

	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...

MFEM_DEPRECATED	Mesh (Mesh *orig_mesh, int ref_factor, int ref_type)
	Deprecated: see MakeRefined. 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...

int	GetNFbyType (FaceType type) const
	Returns the number of faces according to the requested type. 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...

const GeometricFactors *	GetGeometricFactors (const IntegrationRule &ir, const int flags, MemoryType d_mt=MemoryType::DEFAULT)
	Return the mesh geometric factors corresponding to the given integration rule. More...

const FaceGeometricFactors *	GetFaceGeometricFactors (const IntegrationRule &ir, const int flags, FaceType type)
	Return the mesh geometric factors for the faces corresponding to the given integration rule. More...

void	DeleteGeometricFactors ()
	Destroy all GeometricFactors stored by the Mesh. 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

Geometry::Type	GetFaceGeometry (int i) const

Geometry::Type	GetElementGeometry (int i) const

Geometry::Type	GetBdrElementGeometry (int i) const

Geometry::Type	GetFaceBaseGeometry (int i) const

Geometry::Type	GetElementBaseGeometry (int i) const

Geometry::Type	GetBdrElementBaseGeometry (int i) const

bool	HasGeometry (Geometry::Type geom) const
	Return true iff the given geom is encountered in the mesh. Geometries of dimensions lower than Dimension() are counted as well. More...

int	GetNumGeometries (int dim) const
	Return the number of geometries of the given dimension present in the mesh. More...

void	GetGeometries (int dim, Array< Geometry::Type > &el_geoms) const
	Return all element geometries of the given dimension present in the mesh. More...

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 > &edges, Array< int > &o) 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 > &faces, Array< int > &ori) const
	Return the indices and the orientations of all faces of element i. More...

void	GetBdrElementFace (int i, int f, int o) 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...

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

Element::Type	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)
	Returns the transformation defining the given face element in a user-defined variable. More...

void	GetLocalFaceTransformation (int face_type, int elem_type, IsoparametricTransformation &Transf, int info)
	A helper method that constructs a transformation from the reference space of a face to the reference space of an element. More...

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)

int	GetBdrFace (int BdrElemNo) const
	Return the local face index for the given boundary face. More...

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

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

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

void	GetFaceInfos (int Face, int Inf1, int Inf2, int *NCFace) const

Geometry::Type	GetFaceGeometryType (int Face) const

Element::Type	GetFaceElementType (int Face) const

int	CheckElementOrientation (bool fix_it=true)
	Check (and optionally attempt to fix) 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...

void	SetBdrAttribute (int i, int attr)
	Set 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) const

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	EnsureNodes ()

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

void	UniformRefinement (int ref_algo=0)
	Refine all mesh elements. More...

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 simplices_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

virtual void	Save (const char *fname, int precision=16) const

virtual void	Print (adios2stream &out) const
	Print the mesh to the given stream using the adios2 bp format. More...

void	PrintVTK (std::ostream &out)

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

void	PrintVTU (std::ostream &out, int ref=1, VTKFormat format=VTKFormat::ASCII, bool high_order_output=false, int compression_level=0, bool bdr_elements=false)

virtual void	PrintVTU (std::string fname, VTKFormat format=VTKFormat::ASCII, bool high_order_output=false, int compression_level=0, bool bdr=false)

void	PrintBdrVTU (std::string fname, VTKFormat format=VTKFormat::ASCII, bool high_order_output=false, int compression_level=0)

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

void	PrintWithPartitioning (int *partitioning, std::ostream &out, int elem_attr=0) const
	Prints the mesh with boundary elements given by the boundary of the subdomains, so that the boundary of subdomain i has boundary attribute i+1. More...

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

double	GetElementSize (int i, const Vector &dir)

double	GetElementVolume (int i)

void	GetElementCenter (int i, Vector &center)

void	GetBoundingBox (Vector &min, Vector &max, int ref=2)
	Returns the minimum and maximum corners of the mesh bounding box. More...

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)
	Compute and print mesh characteristics such as number of vertices, number of elements, number of boundary elements, minimal and maximal element sizes, minimal and maximal element aspect ratios, etc. More...

virtual void	PrintInfo (std::ostream &out=mfem::out)
	In serial, this method calls PrintCharacteristics(). In parallel, additional information about the parallel decomposition is also printed. More...

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...

void	Swap (Mesh &other, bool non_geometry)

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

void	DebugDump (std::ostream &out) const
	Output an NCMesh-compatible debug dump. More...

Methods for Mesh construction.
These methods are intended to be used with the init constructor.
Element *	NewElement (int geom)

int	AddVertex (double x, double y=0.0, double z=0.0)

int	AddVertex (const double *coords)

void	AddVertexParents (int i, int p1, int p2)
	Mark vertex i as non-conforming, with parent vertices p1 and p2. More...

int	AddSegment (int v1, int v2, int attr=1)

int	AddSegment (const int *vi, int attr=1)

int	AddTriangle (int v1, int v2, int v3, int attr=1)

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

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

int	AddQuad (int v1, int v2, int v3, int v4, int attr=1)

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

int	AddTet (int v1, int v2, int v3, int v4, int attr=1)

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

int	AddWedge (int v1, int v2, int v3, int v4, int v5, int v6, int attr=1)

int	AddWedge (const int *vi, int attr=1)

int	AddHex (int v1, int v2, int v3, int v4, int v5, int v6, int v7, int v8, int attr=1)

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

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

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

int	AddElement (Element *elem)
	The parameter elem should be allocated using the NewElement() method. More...

int	AddBdrElement (Element *elem)

int	AddBdrSegment (int v1, int v2, int attr=1)

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

int	AddBdrTriangle (int v1, int v2, int v3, int attr=1)

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

int	AddBdrQuad (int v1, int v2, int v3, int v4, int attr=1)

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

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

int	AddBdrPoint (int v, 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	FinalizeWedgeMesh (int generate_edges=0, int refine=0, bool fix_orientation=true)
	Finalize the construction of a wedge Mesh. More...

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

void	FinalizeMesh (int refine=0, bool fix_orientation=true)
	Finalize the construction of any type of Mesh. More...

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

void	KnotInsert (Array< Vector * > &kv)

void	DegreeElevate (int rel_degree, int degree=16)

Static Public Member Functions
static FiniteElement *	GetTransformationFEforElementType (Element::Type)

static void	PrintElementsByGeometry (int dim, const Array< int > &num_elems_by_geom, std::ostream &out)
	Auxiliary method used by PrintCharacteristics(). More...

Named mesh constructors.
Each of these constructors uses the move constructor, and can be used as the right-hand side of an assignment when creating new meshes.
static Mesh	LoadFromFile (const char *filename, int generate_edges=0, int refine=1, bool fix_orientation=true)

static Mesh	MakeCartesian1D (int n, double sx=1.0)

static Mesh	MakeCartesian2D (int nx, int ny, Element::Type type, bool generate_edges=false, double sx=1.0, double sy=1.0, bool sfc_ordering=true)

static Mesh	MakeCartesian3D (int nx, int ny, int nz, Element::Type type, double sx=1.0, double sy=1.0, double sz=1.0, bool sfc_ordering=true)

static Mesh	MakeRefined (Mesh &orig_mesh, int ref_factor, int ref_type)
	Create a refined (by any factor) version of orig_mesh. More...

static Mesh	MakeRefined (Mesh &orig_mesh, const Array< int > &ref_factors, int ref_type)
	refined ref_factors[i] times in each dimension. More...

static Mesh	MakeSimplicial (const Mesh &orig_mesh)

static Mesh	MakePeriodic (const Mesh &orig_mesh, const std::vector< int > &v2v)
	Create a periodic mesh by identifying vertices of orig_mesh. More...

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...

Array< GeometricFactors * >	geom_factors
	Optional geometric factors. More...

Array< FaceGeometricFactors * >	face_geom_factors
	Optional face geometric factors. More...

Static Public Attributes
static bool	remove_unused_vertices = true

Protected Member Functions
void	Init ()

void	InitTables ()

void	SetEmpty ()

void	DestroyTables ()

void	DeleteTables ()

void	DestroyPointers ()

void	Destroy ()

void	ResetLazyData ()

Element *	ReadElementWithoutAttr (std::istream &)

Element *	ReadElement (std::istream &)

void	ReadMFEMMesh (std::istream &input, int version, 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	CreateVTKMesh (const Vector &points, const Array< int > &cell_data, const Array< int > &cell_offsets, const Array< int > &cell_types, const Array< int > &cell_attributes, int &curved, int &read_gf, bool &finalize_topo)

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

void	ReadXML_VTKMesh (std::istream &input, int &curved, int &read_gf, bool &finalize_topo, const std::string &xml_prefix="")

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

void	ReadInlineMesh (std::istream &input, bool generate_edges=false)

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

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 *)
	Bisect a triangle: element with index i is bisected. More...

void	Bisection (int i, HashTable< Hashed2 > &)
	Bisect a tetrahedron: element with index i is bisected. More...

void	BdrBisection (int i, const HashTable< Hashed2 > &)
	Bisect a boundary triangle: boundary element with index i is bisected. More...

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

void	AverageVertices (const int *indexes, int n, int result)
	Averages the vertices with given indexes and saves the result in vertices[result]. More...

void	InitRefinementTransforms ()

int	FindCoarseElement (int i)

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

void	SetVerticesFromNodes (const GridFunction *nodes)
	Helper to set vertex coordinates given a high-order curvature function. More...

void	UniformRefinement2D_base (bool update_nodes=true)

virtual void	UniformRefinement2D ()
	Refine a mixed 2D mesh uniformly. More...

void	UniformRefinement3D_base (Array< int > f2qf=NULL, DSTable v_to_v_p=NULL, bool update_nodes=true)

virtual void	UniformRefinement3D ()
	Refine a mixed 3D mesh uniformly. 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...

double	AggregateError (const Array< double > &elem_error, const int *fine, int nfine, int op)
	Derefinement helper. 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	GetLocalTriToWdgTransformation (IsoparametricTransformation &loc, int i)
	Used in GetFaceElementTransformations (...) More...

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

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

void	ApplyLocalSlaveTransformation (FaceElementTransformations &FT, const FaceInfo &fi, bool is_ghost)

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	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, double sx, double sy, double sz, bool sfc_ordering)

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

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

void	MakeRefined_ (Mesh &orig_mesh, const Array< int > ref_factors, int ref_type)
	Internal function used in Mesh::MakeRefined. 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	GetElementData (const Array< Element * > &elem_array, int geom, Array< int > &elem_vtx, Array< int > &attr) const

double	GetElementSize (ElementTransformation *T, int type=0)

void	MakeSimplicial_ (const Mesh &orig_mesh, int *vglobal)

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 int	GetTetOrientation (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)

Protected Attributes
int	Dim

int	spaceDim

int	NumOfVertices

int	NumOfElements

int	NumOfBdrElements

int	NumOfEdges

int	NumOfFaces

int	nbInteriorFaces

int	nbBoundaryFaces

int	meshgen

int	mesh_geoms

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	BdrTransformation

IsoparametricTransformation	FaceTransformation

IsoparametricTransformation	EdgeTransformation

FaceElementTransformations	FaceElemTr

CoarseFineTransformations	CoarseFineTr

GridFunction *	Nodes

int	own_nodes

MemAlloc< Tetrahedron, 1024 >	TetMemory

Array< Triple< int, int, int > >	tmp_vertex_parents

Operation	last_operation

Static Protected Attributes
static const int	vtk_quadratic_tet [10]

static const int	vtk_quadratic_wedge [18]

static const int	vtk_quadratic_hex [27]

Friends
class	ParMesh

class	ParNCMesh

class	NCMesh

class	NURBSExtension

class	adios2stream

class	Tetrahedron

Detailed Description

Definition at line 52 of file mesh.hpp.

Member Typedef Documentation

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

Definition at line 196 of file mesh.hpp.

typedef Geometry::Constants<Geometry::PRISM> mfem::Mesh::pri_t

Definition at line 197 of file mesh.hpp.

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

Definition at line 194 of file mesh.hpp.

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

Definition at line 192 of file mesh.hpp.

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

Definition at line 195 of file mesh.hpp.

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

Definition at line 193 of file mesh.hpp.

Member Enumeration Documentation

enum mfem::Mesh::Operation

Enumerator
NONE
REFINE
DEREFINE
REBALANCE

Definition at line 199 of file mesh.hpp.

Constructor & Destructor Documentation

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

explicitprotected

Create from a nonconforming mesh.

Definition at line 8604 of file mesh.cpp.

mfem::Mesh::Mesh ( )

inline

Definition at line 491 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 3135 of file mesh.cpp.

mfem::Mesh::Mesh ( Mesh && mesh )

Move constructor, useful for using a Mesh as a function return value.

Definition at line 3258 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 3373 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 625 of file mesh.hpp.

MFEM_DEPRECATED mfem::Mesh::Mesh	(	int	nx,
		int	ny,
		int	nz,
		Element::Type	type,
		bool	generate_edges = `false`,
		double	sx = `1.0`,
		double	sy = `1.0`,
		double	sz = `1.0`,
		bool	sfc_ordering = `true`
	)

inline

Deprecated: see MakeCartesian3D.

Definition at line 770 of file mesh.hpp.

MFEM_DEPRECATED mfem::Mesh::Mesh	(	int	nx,
		int	ny,
		Element::Type	type,
		bool	generate_edges = `false`,
		double	sx = `1.0`,
		double	sy = `1.0`,
		bool	sfc_ordering = `true`
	)

inline

Deprecated: see MakeCartesian2D.

Definition at line 780 of file mesh.hpp.

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

inlineexplicit

Deprecated: see MakeCartesian1D.

Definition at line 789 of file mesh.hpp.

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

explicit

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. See also Mesh::LoadFromFile.

Definition at line 3324 of file mesh.cpp.

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

explicit

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 3342 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 3748 of file mesh.cpp.

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

Deprecated: see MakeRefined.

Definition at line 3890 of file mesh.cpp.

virtual mfem::Mesh::~Mesh ( )

inlinevirtual

Destroys Mesh.

Definition at line 1538 of file mesh.hpp.

Member Function Documentation

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

Definition at line 1433 of file mesh.cpp.

int mfem::Mesh::AddBdrPoint	(	int	v,
		int	attr = `1`
	)

Definition at line 1497 of file mesh.cpp.

int mfem::Mesh::AddBdrQuad	(	int	v1,
		int	v2,
		int	v3,
		int	v4,
		int	attr = `1`
	)

Definition at line 1468 of file mesh.cpp.

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

Definition at line 1475 of file mesh.cpp.

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

Definition at line 1482 of file mesh.cpp.

int mfem::Mesh::AddBdrSegment	(	int	v1,
		int	v2,
		int	attr = `1`
	)

Definition at line 1440 of file mesh.cpp.

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

Definition at line 1447 of file mesh.cpp.

int mfem::Mesh::AddBdrTriangle	(	int	v1,
		int	v2,
		int	v3,
		int	attr = `1`
	)

Definition at line 1454 of file mesh.cpp.

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

Definition at line 1461 of file mesh.cpp.

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

The parameter elem should be allocated using the NewElement() method.

Definition at line 1426 of file mesh.cpp.

int mfem::Mesh::AddHex	(	int	v1,
		int	v2,
		int	v3,
		int	v4,
		int	v5,
		int	v6,
		int	v7,
		int	v8,
		int	attr = `1`
	)

Definition at line 1373 of file mesh.cpp.

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

Definition at line 1382 of file mesh.cpp.

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

Definition at line 1389 of file mesh.cpp.

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

Definition at line 1408 of file mesh.cpp.

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

protected

Used in GenerateFaces()

Definition at line 5947 of file mesh.cpp.

int mfem::Mesh::AddQuad	(	int	v1,
		int	v2,
		int	v3,
		int	v4,
		int	attr = `1`
	)

Definition at line 1324 of file mesh.cpp.

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

Definition at line 1331 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 6044 of file mesh.cpp.

int mfem::Mesh::AddSegment	(	int	v1,
		int	v2,
		int	attr = `1`
	)

Definition at line 1296 of file mesh.cpp.

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

Definition at line 1303 of file mesh.cpp.

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

protected

Definition at line 5979 of file mesh.cpp.

int mfem::Mesh::AddTet	(	int	v1,
		int	v2,
		int	v3,
		int	v4,
		int	attr = `1`
	)

Definition at line 1338 of file mesh.cpp.

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

Definition at line 1344 of file mesh.cpp.

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

inline

Definition at line 649 of file mesh.hpp.

int mfem::Mesh::AddTriangle	(	int	v1,
		int	v2,
		int	v3,
		int	attr = `1`
	)

Definition at line 1310 of file mesh.cpp.

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

Definition at line 1317 of file mesh.cpp.

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

protected

Definition at line 6016 of file mesh.cpp.

int mfem::Mesh::AddVertex	(	double	x,
		double	y = `0.0`,
		double	z = `0.0`
	)

Definition at line 1263 of file mesh.cpp.

int mfem::Mesh::AddVertex ( const double * coords )

Definition at line 1273 of file mesh.cpp.

void mfem::Mesh::AddVertexParents	(	int	i,
		int	p1,
		int	p2
	)

Mark vertex i as non-conforming, with parent vertices p1 and p2.

Definition at line 1280 of file mesh.cpp.

int mfem::Mesh::AddWedge	(	int	v1,
		int	v2,
		int	v3,
		int	v4,
		int	v5,
		int	v6,
		int	attr = `1`
	)

Definition at line 1359 of file mesh.cpp.

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

Definition at line 1366 of file mesh.cpp.

double mfem::Mesh::AggregateError	(	const Array< double > &	elem_error,
		const int *	fine,
		int	nfine,
		int	op
	)

protected

Derefinement helper.

Definition at line 8472 of file mesh.cpp.

void mfem::Mesh::ApplyLocalSlaveTransformation	(	FaceElementTransformations &	FT,
		const FaceInfo &	fi,
		bool	is_ghost
	)

protected

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

Definition at line 981 of file mesh.cpp.

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

protected

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

Definition at line 7396 of file mesh.cpp.

void mfem::Mesh::BdrBisection	(	int	i,
		const HashTable< Hashed2 > &	v_to_v
	)

protected

Bisect a boundary triangle: boundary element with index i is bisected.

Definition at line 9106 of file mesh.cpp.

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

protected

Bisect a triangle: element with index i is bisected.

Definition at line 8898 of file mesh.cpp.

void mfem::Mesh::Bisection	(	int	i,
		HashTable< Hashed2 > &	v_to_v
	)

protected

Bisect a tetrahedron: element with index i is bisected.

Definition at line 8987 of file mesh.cpp.

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

Definition at line 6438 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 3349 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 5317 of file mesh.cpp.

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

Definition at line 7186 of file mesh.cpp.

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

Check (and optionally attempt to fix) the orientation of the elements.

Parameters

[in] fix_it If true, attempt to fix the orientations of some elements: triangles, quads, and tets.

Returns: The number of elements with wrong orientation.

Note: For meshes with nodes (e.g. high-order or periodic meshes), fixing the element orientations may require additional permutation of the nodal GridFunction of the mesh which is not performed by this method. Instead, the method Finalize() should be used with the parameter fix_orientation set to true.; This method performs a simple check if an element is inverted, e.g. for most elements types, it checks if the Jacobian of the mapping from the reference element is non-negative at the center of the element.

Definition at line 4953 of file mesh.cpp.

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

Definition at line 6868 of file mesh.cpp.

void mfem::Mesh::Clear ( )

inline

Clear the contents of the Mesh.

Definition at line 828 of file mesh.hpp.

bool mfem::Mesh::Conforming ( ) const

inline

Definition at line 1366 of file mesh.hpp.

std::vector< int > mfem::Mesh::CreatePeriodicVertexMapping	(	const std::vector< Vector > &	translations,
		double	tol = `1e-8`
	)		const

Creates a mapping v2v from the vertex indices of the mesh such that coincident vertices under the given translations are identified.

Each Vector in translations should be of size sdim (the spatial dimension of the mesh). Two vertices are considered coincident if the translated coordinates of one vertex are within the given tolerance (tol, relative to the mesh diameter) of the coordinates of the other vertex.

Warning: This algorithm does not scale well with the number of boundary vertices in the mesh, and may run slowly on very large meshes.

Definition at line 4483 of file mesh.cpp.

void mfem::Mesh::CreateVTKMesh	(	const Vector &	points,
		const Array< int > &	cell_data,
		const Array< int > &	cell_offsets,
		const Array< int > &	cell_types,
		const Array< int > &	cell_attributes,
		int &	curved,
		int &	read_gf,
		bool &	finalize_topo
	)

protected

Definition at line 367 of file mesh_readers.cpp.

void mfem::Mesh::DebugDump ( std::ostream & out ) const

Output an NCMesh-compatible debug dump.

Definition at line 11932 of file mesh.cpp.

void mfem::Mesh::DegreeElevate	(	int	rel_degree,
		int	degree = `16`
	)

Definition at line 4665 of file mesh.cpp.

void mfem::Mesh::DeleteGeometricFactors ( )

Destroy all GeometricFactors stored by the Mesh.

This method can be used to force recomputation of the GeometricFactors, for example, after the mesh nodes are modified externally.

Definition at line 825 of file mesh.cpp.

void mfem::Mesh::DeleteTables ( )

inlineprotected

Definition at line 224 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 8539 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 8556 of file mesh.cpp.

void mfem::Mesh::Destroy ( )

protected

Definition at line 1170 of file mesh.cpp.

void mfem::Mesh::DestroyPointers ( )

protected

Definition at line 1144 of file mesh.cpp.

void mfem::Mesh::DestroyTables ( )

protected

Definition at line 1128 of file mesh.cpp.

int mfem::Mesh::Dimension ( ) const

inline

Definition at line 911 of file mesh.hpp.

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

protected

Definition at line 2164 of file mesh.cpp.

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

Definition at line 5938 of file mesh.cpp.

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

Definition at line 5893 of file mesh.cpp.

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

Definition at line 5929 of file mesh.cpp.

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

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

Definition at line 8800 of file mesh.cpp.

void mfem::Mesh::EnsureNodes ( )

Make sure that the mesh has valid nodes, i.e. its geometry is described by a vector finite element grid function (even if it is a low-order mesh with straight edges).

Definition at line 4849 of file mesh.cpp.

int mfem::Mesh::EulerNumber ( ) const

inline

Equals 1 + num_holes - num_loops.

Definition at line 905 of file mesh.hpp.

int mfem::Mesh::EulerNumber2D ( ) const

inline

Equals 1 - num_holes.

Definition at line 908 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 1165 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 425 of file mesh.hpp.

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

virtual

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.

Reimplemented in mfem::ParMesh.

Definition at line 2600 of file mesh.cpp.

void mfem::Mesh::FinalizeCheck ( )

protected

Definition at line 1542 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 2470 of file mesh.cpp.

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

Finalize the construction of any type of Mesh.

This method calls FinalizeTopology() and Finalize().

Definition at line 2500 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 1585 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 2394 of file mesh.cpp.

void mfem::Mesh::FinalizeTopology ( bool generate_bdr = true )

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 2507 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 1556 of file mesh.cpp.

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

Finalize the construction of a wedge Mesh.

Definition at line 2435 of file mesh.cpp.

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

protected

Definition at line 9245 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 11277 of file mesh.cpp.

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

protected

Definition at line 11252 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 hexahedra. 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 8732 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 8789 of file mesh.cpp.

void mfem::Mesh::GenerateBoundaryElements ( )

Definition at line 1504 of file mesh.cpp.

void mfem::Mesh::GenerateFaces ( )

protected

Definition at line 6071 of file mesh.cpp.

void mfem::Mesh::GenerateNCFaceInfo ( )

protected

Definition at line 6156 of file mesh.cpp.

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

Definition at line 6477 of file mesh.cpp.

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

inline

Return the attribute of element i.

Definition at line 1197 of file mesh.hpp.

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

inline

Return the attribute of boundary element i.

Definition at line 1203 of file mesh.hpp.

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

inline

Definition at line 946 of file mesh.hpp.

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

inline

Definition at line 948 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 5726 of file mesh.cpp.

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

inline

Definition at line 974 of file mesh.hpp.

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

inline

Definition at line 927 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 5714 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 5474 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 5691 of file mesh.cpp.

Geometry::Type mfem::Mesh::GetBdrElementGeometry ( int i ) const

inline

Definition at line 962 of file mesh.hpp.

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

Returns the transformation defining the i-th boundary element.

Definition at line 428 of file mesh.cpp.

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

Definition at line 434 of file mesh.cpp.

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

Returns the type of boundary element i.

Definition at line 5753 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 1015 of file mesh.hpp.

int mfem::Mesh::GetBdrFace ( int BdrElemNo ) const

Return the local face index for the given boundary face.

Definition at line 1037 of file mesh.cpp.

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

Definition at line 1020 of file mesh.cpp.

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

Definition at line 5776 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 first refined ref times.

Definition at line 129 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 193 of file mesh.cpp.

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

protected

Definition at line 2050 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 567 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 626 of file mesh.cpp.

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

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

Definition at line 5573 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 5536 of file mesh.cpp.

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

inline

Definition at line 942 of file mesh.hpp.

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

inline

Definition at line 944 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 5807 of file mesh.cpp.

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

inline

Definition at line 971 of file mesh.hpp.

void mfem::Mesh::GetElementCenter	(	int	i,
		Vector &	center
	)

Definition at line 68 of file mesh.cpp.

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

Definition at line 10235 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 8668 of file mesh.cpp.

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

inline

Definition at line 924 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 5452 of file mesh.cpp.

void mfem::Mesh::GetElementFaces	(	int	i,
		Array< int > &	faces,
		Array< int > &	ori
	)		const

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

Definition at line 5668 of file mesh.cpp.

Geometry::Type mfem::Mesh::GetElementGeometry ( int i ) const

inline

Definition at line 957 of file mesh.hpp.

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 60 of file mesh.cpp.

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

inline

Definition at line 939 of file mesh.hpp.

double mfem::Mesh::GetElementSize	(	ElementTransformation *	T,
		int	type = `0`
	)

protected

Definition at line 76 of file mesh.cpp.

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

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

Definition at line 98 of file mesh.cpp.

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

Definition at line 103 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 5854 of file mesh.cpp.

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

protected

Definition at line 6263 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 347 of file mesh.cpp.

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

Returns the transformation defining the i-th element.

Definition at line 421 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 378 of file mesh.cpp.

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

Returns the type of element i.

Definition at line 5748 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 1011 of file mesh.hpp.

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

Definition at line 112 of file mesh.cpp.

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

inline

Definition at line 950 of file mesh.hpp.

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

inline

Definition at line 968 of file mesh.hpp.

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 5506 of file mesh.cpp.

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

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

Definition at line 5545 of file mesh.cpp.

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

Definition at line 1055 of file mesh.cpp.

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

Returns (a pointer to an object 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. These mask values are defined in the ConfigMasks enum type as part of the FaceElementTransformations class in fem/eltrans.hpp.

Definition at line 886 of file mesh.cpp.

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

Definition at line 1093 of file mesh.cpp.

const FaceGeometricFactors * mfem::Mesh::GetFaceGeometricFactors	(	const IntegrationRule &	ir,
		const int	flags,
		FaceType	type
	)

Return the mesh geometric factors for the faces corresponding to the given integration rule.

The IntegrationRule used with GetFaceGeometricFactors needs to remain valid until the internally stored FaceGeometricFactors objects are destroyed (by either calling Mesh::DeleteGeometricFactors or the Mesh destructor).

Definition at line 804 of file mesh.cpp.

Geometry::Type mfem::Mesh::GetFaceGeometry ( int i ) const

inline

Definition at line 952 of file mesh.hpp.

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

Definition at line 1074 of file mesh.cpp.

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

Definition at line 1061 of file mesh.cpp.

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

Definition at line 1067 of file mesh.cpp.

STable3D * mfem::Mesh::GetFacesTable ( )

protected

Definition at line 6214 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 5634 of file mesh.cpp.

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

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

Definition at line 492 of file mesh.cpp.

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

Returns the transformation defining the given face element.

Definition at line 561 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 1029 of file mesh.hpp.

double mfem::Mesh::GetGeckoElementOrdering	(	Array< int > &	ordering,
		int	iterations = `4`,
		int	window = `4`,
		int	period = `2`,
		int	seed = `0`,
		bool	verbose = `false`,
		double	time_limit = `0`
	)

This is our integration with the Gecko library. The method finds an element ordering that will increase memory coherency by putting elements that are in physical proximity closer in memory. It can also be used to obtain a space-filling curve ordering for ParNCMesh partitioning.

Parameters

[out]	ordering	Output element ordering.
	iterations	Total number of V cycles. The ordering may improve with more iterations. The best iteration is returned at the end.
	window	Initial window size. This determines the number of permutations tested at each multigrid level and strongly influences the quality of the result, but the cost of increasing 'window' is exponential.
	period	The window size is incremented every 'period' iterations.
	seed	Seed for initial random ordering (0 = skip random reorder).
	verbose	Print the progress of the optimization to mfem::out.
	time_limit	Optional time limit for the optimization, in seconds. When reached, ordering from the best iteration so far is returned (0 = no limit).

Returns: The final edge product cost of the ordering. The function may be called in an external loop with different seeds, and the best ordering can then be retained.

Definition at line 1647 of file mesh.cpp.

const GeometricFactors * mfem::Mesh::GetGeometricFactors	(	const IntegrationRule &	ir,
		const int	flags,
		MemoryType	d_mt = `MemoryType::DEFAULT`
	)

Return the mesh geometric factors corresponding to the given integration rule.

The IntegrationRule used with GetGeometricFactors needs to remain valid until the internally stored GeometricFactors objects are destroyed (by either calling Mesh::DeleteGeometricFactors or the Mesh destructor). If the device MemoryType parameter d_mt is specified, then the returned object will use that type unless it was previously allocated with a different type.

Definition at line 784 of file mesh.cpp.

void mfem::Mesh::GetGeometries	(	int	dim,
		Array< Geometry::Type > &	el_geoms
	)		const

Return all element geometries of the given dimension present in the mesh.

For a parallel mesh only the local geometries are returned.

The returned geometries are sorted.

Definition at line 5439 of file mesh.cpp.

long mfem::Mesh::GetGlobalNE ( ) const

inline

Return the total (global) number of elements.

Definition at line 872 of file mesh.hpp.

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

Return an ordering of the elements that approximately follows the Hilbert curve. The method performs a spatial (Hilbert) sort on the centers of all elements and returns the resulting sequence, which can then be passed to ReorderElements. This is a cheap alternative to GetGeckoElementOrdering.

Definition at line 1814 of file mesh.cpp.

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

inline

Definition at line 1153 of file mesh.hpp.

Operation mfem::Mesh::GetLastOperation ( ) const

inline

Return type of last modification of the mesh.

Definition at line 1374 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 5792 of file mesh.cpp.

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

A helper method that constructs a transformation from the reference space of a face to the reference space of an element.

The local index of the face as a face in the element and its orientation are given by the input parameter info, as info = 64*loc_face_idx + loc_face_orientation.

Definition at line 839 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 633 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 738 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 760 of file mesh.cpp.

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

protected

Definition at line 668 of file mesh.cpp.

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

protected

Definition at line 648 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 688 of file mesh.cpp.

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

protected

Used in GetFaceElementTransformations (...)

Definition at line 712 of file mesh.cpp.

int mfem::Mesh::GetNBE ( ) const

inline

Returns number of boundary elements.

Definition at line 849 of file mesh.hpp.

int mfem::Mesh::GetNE ( ) const

inline

Returns number of elements.

Definition at line 846 of file mesh.hpp.

int mfem::Mesh::GetNEdges ( ) const

inline

Return the number of edges.

Definition at line 852 of file mesh.hpp.

int mfem::Mesh::GetNFaces ( void ) const

inline

Return the number of faces in a 3D mesh.

Definition at line 855 of file mesh.hpp.

int mfem::Mesh::GetNFbyType ( FaceType type ) const

Returns the number of faces according to the requested type.

If type==Boundary returns only the "true" number of boundary faces contrary to GetNBE() that returns "fake" boundary faces associated to visualization for GLVis. Similarly, if type==Interior, the "fake" boundary faces associated to visualization are counted as interior faces.

Definition at line 4941 of file mesh.cpp.

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 4877 of file mesh.cpp.

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

Definition at line 7292 of file mesh.cpp.

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

Definition at line 7343 of file mesh.cpp.

GridFunction* mfem::Mesh::GetNodes ( )

inline

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

Definition at line 1258 of file mesh.hpp.

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

inline

Definition at line 1259 of file mesh.hpp.

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

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

Definition at line 4829 of file mesh.cpp.

int mfem::Mesh::GetNumFaces ( ) const

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

Definition at line 4915 of file mesh.cpp.

int mfem::Mesh::GetNumGeometries ( int dim ) const

Return the number of geometries of the given dimension present in the mesh.

For a parallel mesh only the local geometries are counted.

Definition at line 5428 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 843 of file mesh.hpp.

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

Definition at line 5758 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 5136 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 9255 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 1380 of file mesh.hpp.

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

staticprotected

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

Definition at line 5184 of file mesh.cpp.

FiniteElement * mfem::Mesh::GetTransformationFEforElementType ( Element::Type ElemType )

static

Definition at line 327 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 5088 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 917 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 922 of file mesh.hpp.

Table * mfem::Mesh::GetVertexToElementTable ( )

The returned Table must be destroyed by the caller.

Definition at line 5599 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 5829 of file mesh.cpp.

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

Definition at line 7272 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 294 of file mesh.hpp.

bool mfem::Mesh::HasGeometry ( Geometry::Type geom ) const

inline

Return true iff the given geom is encountered in the mesh. Geometries of dimensions lower than Dimension() are counted as well.

Definition at line 979 of file mesh.hpp.

void mfem::Mesh::Init ( )

protected

Definition at line 1098 of file mesh.cpp.

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

protected

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

Definition at line 8568 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 1240 of file mesh.cpp.

void mfem::Mesh::InitRefinementTransforms ( )

protected

Definition at line 9233 of file mesh.cpp.

void mfem::Mesh::InitTables ( )

protected

Definition at line 1116 of file mesh.cpp.

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

protected

Definition at line 976 of file mesh.cpp.

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

Definition at line 4608 of file mesh.cpp.

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

Definition at line 4630 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::ifgzstream() for on-the-fly decompression of compressed ascii inputs.

Reimplemented in mfem::ParMesh.

Definition at line 820 of file mesh.hpp.

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

protected

Definition at line 3530 of file mesh.cpp.

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

static

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 3269 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 4747 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 8180 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 3091 of file mesh.cpp.

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

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. The parameter sfc_ordering controls how the elements (when type=QUADRILATERAL) are ordered: true - use space-filling curve ordering, or false - use lexicographic ordering.

Definition at line 2913 of file mesh.cpp.

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

protected

Creates mesh for the parallelepiped [0,sx]x[0,sy]x[0,sz], divided into nx*ny*nz hexahedra if type=HEXAHEDRON or into 6*nx*ny*nz tetrahedrons if type=TETRAHEDRON. The parameter sfc_ordering controls how the elements (when type=HEXAHEDRON) are ordered: true - use space-filling curve ordering, or false - use lexicographic ordering.

Definition at line 2675 of file mesh.cpp.

Mesh mfem::Mesh::MakeCartesian1D	(	int	n,
		double	sx = `1.0`
	)

static

Creates 1D mesh , divided into n equal intervals.

Definition at line 3279 of file mesh.cpp.

Mesh mfem::Mesh::MakeCartesian2D	(	int	nx,
		int	ny,
		Element::Type	type,
		bool	generate_edges = `false`,
		double	sx = `1.0`,
		double	sy = `1.0`,
		bool	sfc_ordering = `true`
	)

static

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. If scf_ordering = true (default), elements are ordered along a space-filling curve, instead of row by row.

Definition at line 3287 of file mesh.cpp.

Mesh mfem::Mesh::MakeCartesian3D	(	int	nx,
		int	ny,
		int	nz,
		Element::Type	type,
		double	sx = `1.0`,
		double	sy = `1.0`,
		double	sz = `1.0`,
		bool	sfc_ordering = `true`
	)

static

Creates mesh for the parallelepiped [0,sx]x[0,sy]x[0,sz], divided into nx*ny*nz hexahedra if type=HEXAHEDRON or into 6*nx*ny*nz tetrahedrons if type=TETRAHEDRON. If sfc_ordering = true (default), elements are ordered along a space-filling curve, instead of row by row and layer by layer.

Definition at line 3297 of file mesh.cpp.

Mesh mfem::Mesh::MakePeriodic	(	const Mesh &	orig_mesh,
		const std::vector< int > &	v2v
	)

static

Create a periodic mesh by identifying vertices of orig_mesh.

Each vertex i will be mapped to vertex v2v[i], such that all vertices that are coincident under the periodic mapping get mapped to the same index. The mapping v2v can be generated from translation vectors using Mesh::CreatePeriodicVertexMapping.

Note: MFEM requires that each edge of the resulting mesh be uniquely identifiable by a pair of distinct vertices. As a consequence, periodic boundaries must be connected by at least three edges.

Definition at line 4449 of file mesh.cpp.

Mesh mfem::Mesh::MakeRefined	(	Mesh &	orig_mesh,
		int	ref_factor,
		int	ref_type
	)

static

Create a 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 straight-sided.

Definition at line 3307 of file mesh.cpp.

Mesh mfem::Mesh::MakeRefined	(	Mesh &	orig_mesh,
		const Array< int > &	ref_factors,
		int	ref_type
	)

static

refined ref_factors[i] times in each dimension.

Create a refined mesh, where each element of the original mesh may be refined by a different factor.

Parameters

[in]	orig_mesh	The starting coarse mesh.
[in]	ref_factors	An array of integers whose size is the number of elements of orig_mesh. The ith element of orig_mesh is refined by refinement factor ref_factors[i].
[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 straight-sided.

Definition at line 3316 of file mesh.cpp.

void mfem::Mesh::MakeRefined_	(	Mesh &	orig_mesh,
		const Array< int >	ref_factors,
		int	ref_type
	)

protected

Internal function used in Mesh::MakeRefined.

Definition at line 3897 of file mesh.cpp.

Mesh mfem::Mesh::MakeSimplicial ( const Mesh & orig_mesh )

static

Create a mesh by splitting each element of orig_mesh into simplices. Quadrilaterals are split into two triangles, prisms are split into 3 tetrahedra, and hexahedra are split into either 5 or 6 tetrahedra depending on the configuration.

Warning: The curvature of the original mesh is not carried over to the new mesh. Periodic meshes are not supported.

Definition at line 4120 of file mesh.cpp.

void mfem::Mesh::MakeSimplicial_	(	const Mesh &	orig_mesh,
		int *	vglobal
	)

protected

Definition at line 4127 of file mesh.cpp.

void mfem::Mesh::MarkForRefinement ( )

protected

Definition at line 2018 of file mesh.cpp.

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

protectedvirtual

Reimplemented in mfem::ParMesh.

Definition at line 2075 of file mesh.cpp.

void mfem::Mesh::MarkTriMeshForRefinement ( )

protected

Definition at line 2035 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),
bit 2 - the mesh has wedge elements.

In parallel, the result takes into account elements on all processors.

Definition at line 839 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 7331 of file mesh.cpp.

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

Definition at line 7263 of file mesh.cpp.

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

Definition at line 3415 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 7367 of file mesh.cpp.

bool mfem::Mesh::Nonconforming ( ) const

inline

Definition at line 1367 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 8491 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 8422 of file mesh.cpp.

void mfem::Mesh::NURBSUniformRefinement ( )

protectedvirtual

Refine NURBS mesh.

Reimplemented in mfem::ParMesh.

Definition at line 4652 of file mesh.cpp.

Mesh & mfem::Mesh::operator= ( Mesh && mesh )

Move assignment operstor.

Definition at line 3263 of file mesh.cpp.

Mesh& mfem::Mesh::operator= ( Mesh & mesh )

delete

Explicitly delete the copy assignment operator.

bool mfem::Mesh::OwnsNodes ( ) const

inline

Return the mesh nodes ownership flag.

Definition at line 1261 of file mesh.hpp.

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

protected

Definition at line 2098 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::ofgzstream() for on-the-fly compression of ascii outputs

Reimplemented in mfem::ParMesh.

Definition at line 1387 of file mesh.hpp.

void mfem::Mesh::Print ( adios2stream & out ) const

virtual

Print the mesh to the given stream using the adios2 bp format.

Reimplemented in mfem::ParMesh.

Definition at line 9623 of file mesh.cpp.

void mfem::Mesh::PrintBdrVTU	(	std::string	fname,
		VTKFormat	format = `VTKFormat::ASCII`,
		bool	high_order_output = `false`,
		int	compression_level = `0`
	)

Print the boundary elements of the mesh in VTU format, and output the boundary attributes as a data array (useful for boundary conditions).

Definition at line 9821 of file mesh.cpp.

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

Compute and print mesh characteristics such as number of vertices, number of elements, number of boundary elements, minimal and maximal element sizes, minimal and maximal element aspect ratios, etc.

If Vh or Vk are not NULL, return the element sizes and aspect ratios for all elements in the given Vectors.

Definition at line 242 of file mesh.cpp.

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

staticprotected

Definition at line 3480 of file mesh.cpp.

void mfem::Mesh::PrintElementsByGeometry	(	int	dim,
		const Array< int > &	num_elems_by_geom,
		std::ostream &	out
	)

static

Auxiliary method used by PrintCharacteristics().

It is also used in the mesh-explorer miniapp.

Definition at line 228 of file mesh.cpp.

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

Definition at line 10429 of file mesh.cpp.

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

staticprotected

Definition at line 3456 of file mesh.cpp.

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

protected

Definition at line 9482 of file mesh.cpp.

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

inlinevirtual

In serial, this method calls PrintCharacteristics(). In parallel, additional information about the parallel decomposition is also printed.

Reimplemented in mfem::ParMesh.

Definition at line 1497 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 10801 of file mesh.cpp.

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

protected

Definition at line 9573 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::ofgzstream() for on-the-fly compression of ascii outputs

Definition at line 9629 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::ofgzstream() for on-the-fly compression of ascii outputs

Definition at line 10092 of file mesh.cpp.

void mfem::Mesh::PrintVTU	(	std::ostream &	out,
		int	ref = `1`,
		VTKFormat	format = `VTKFormat::ASCII`,
		bool	high_order_output = `false`,
		int	compression_level = `0`,
		bool	bdr_elements = `false`
	)

Print the mesh in VTU format. The parameter ref > 0 specifies an element subdivision number (useful for high order fields and curved meshes). If bdr_elements is true, then output (only) the boundary elements, otherwise output only the non-boundary elements.

Definition at line 9884 of file mesh.cpp.

void mfem::Mesh::PrintVTU	(	std::string	fname,
		VTKFormat	format = `VTKFormat::ASCII`,
		bool	high_order_output = `false`,
		int	compression_level = `0`,
		bool	bdr = `false`
	)

virtual

Print the mesh in VTU format with file name fname.

Reimplemented in mfem::ParMesh.

Definition at line 9795 of file mesh.cpp.

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

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

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

Definition at line 10310 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 9318 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 8824 of file mesh.cpp.

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

protected

Definition at line 2719 of file mesh_readers.cpp.

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

protected

Definition at line 3468 of file mesh.cpp.

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

protected

Definition at line 3438 of file mesh.cpp.

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

protected

The following mappings convert the Gmsh node orderings for high order elements to MFEM's L2 degree of freedom ordering. To support more options examine Gmsh's ordering and read off the indices in MFEM's order. For example 2nd order Gmsh quadrilaterals use the following ordering:

3–6–2 | | | 7 8 5 | | | 0–4–1

(from https://gmsh.info/doc/texinfo/gmsh.html#Node-ordering)

Whereas MFEM uses a tensor product ordering with the horizontal axis cycling fastest so we would read off:

0 4 1 7 8 5 3 6 2

This corresponds to the quad9 mapping below.

Definition at line 1473 of file mesh_readers.cpp.

void mfem::Mesh::ReadInlineMesh	(	std::istream &	input,
		bool	generate_edges = `false`
	)

protected

Definition at line 1317 of file mesh_readers.cpp.

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

protected

Definition at line 108 of file mesh_readers.cpp.

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

protected

Definition at line 39 of file mesh_readers.cpp.

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

protected

Definition at line 142 of file mesh_readers.cpp.

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

protected

Definition at line 204 of file mesh_readers.cpp.

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

protected

Definition at line 1276 of file mesh_readers.cpp.

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

protected

Definition at line 258 of file mesh_readers.cpp.

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

protected

Definition at line 1145 of file mesh_readers.cpp.

void mfem::Mesh::ReadXML_VTKMesh	(	std::istream &	input,
		int &	curved,
		int &	read_gf,
		bool &	finalize_topo,
		const std::string &	xml_prefix = `""`
	)

protected

Definition at line 1027 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 288 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 869 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 8843 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 8869 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 8889 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 11164 of file mesh.cpp.

void mfem::Mesh::RemoveUnusedVertices ( )

Remove unused vertices and rebuild mesh connectivity.

Definition at line 11057 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. For each element i, the array ordering[i] contains its desired new index. Note that the method reorders vertices, edges and faces along with the elements.

Definition at line 1866 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 6376 of file mesh.cpp.

void mfem::Mesh::ResetLazyData ( )

protected

Definition at line 1199 of file mesh.cpp.

void mfem::Mesh::Save	(	const char *	fname,
		int	precision = `16`
	)		const

virtual

Save the mesh to a file using Mesh::Print. The given precision will be used for ASCII output.

Reimplemented in mfem::ParMesh.

Definition at line 9615 of file mesh.cpp.

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

Definition at line 10938 of file mesh.cpp.

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

Definition at line 10868 of file mesh.cpp.

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

inline

Set the attribute of element i.

Definition at line 1200 of file mesh.hpp.

void mfem::Mesh::SetAttributes ( )

virtual

Reimplemented in mfem::ParMesh.

Definition at line 1209 of file mesh.cpp.

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

inline

Set the attribute of boundary element i.

Definition at line 1206 of file mesh.hpp.

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

virtual

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'.

Reimplemented in mfem::ParMesh.

Definition at line 4882 of file mesh.cpp.

void mfem::Mesh::SetEmpty ( )

protected

Definition at line 1122 of file mesh.cpp.

void mfem::Mesh::SetMeshGen ( )

protected

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

Also, initializes mesh_geoms.

Definition at line 3486 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 4843 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 4871 of file mesh.cpp.

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

Definition at line 7311 of file mesh.cpp.

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

Definition at line 7355 of file mesh.cpp.

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

inline

Set the mesh nodes ownership flag.

Definition at line 1263 of file mesh.hpp.

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

Definition at line 7283 of file mesh.cpp.

void mfem::Mesh::SetVerticesFromNodes ( const GridFunction * nodes )

protected

Helper to set vertex coordinates given a high-order curvature function.

Definition at line 4901 of file mesh.cpp.

int mfem::Mesh::SpaceDimension ( ) const

inline

Definition at line 912 of file mesh.hpp.

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

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 8612 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 7386 of file mesh.cpp.

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

Definition at line 11008 of file mesh.cpp.

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

Definition at line 11033 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 9143 of file mesh.cpp.

void mfem::Mesh::UniformRefinement ( int ref_algo = 0 )

Refine all mesh elements.

Parameters

[in] ref_algo Refinement algorithm. Currently used only for pure tetrahedral meshes. If set to zero (default), a tet mesh will be refined using algorithm A, that produces elements with better quality compared to algorithm B used when the parameter is non-zero.

For tetrahedral meshes, after using algorithm A, the mesh cannot be refined locally using methods like GeneralRefinement() unless it is re-finalized using Finalize() with the parameter refine set to true. Note that calling Finalize() in this way will generally invalidate any FiniteElementSpaces and GridFunctions defined on the mesh.

Definition at line 8703 of file mesh.cpp.

virtual void mfem::Mesh::UniformRefinement2D ( )

inlineprotectedvirtual

Refine a mixed 2D mesh uniformly.

Reimplemented in mfem::ParMesh.

Definition at line 326 of file mesh.hpp.

void mfem::Mesh::UniformRefinement2D_base ( bool update_nodes = true )

protected

Definition at line 7429 of file mesh.cpp.

virtual void mfem::Mesh::UniformRefinement3D ( )

inlineprotectedvirtual

Refine a mixed 3D mesh uniformly.

Reimplemented in mfem::ParMesh.

Definition at line 336 of file mesh.hpp.

void mfem::Mesh::UniformRefinement3D_base	(	Array< int > *	f2qf = `NULL`,
		DSTable *	v_to_v_p = `NULL`,
		bool	update_nodes = `true`
	)

protected

Definition at line 7588 of file mesh.cpp.

void mfem::Mesh::UpdateNodes ( )

protected

Update the nodes of a curved mesh after refinement.

Definition at line 7417 of file mesh.cpp.

void mfem::Mesh::UpdateNURBS ( )

protected

Definition at line 4682 of file mesh.cpp.

Friends And Related Function Documentation

friend class adios2stream

friend

Definition at line 62 of file mesh.hpp.

friend class NCMesh

friend

Definition at line 58 of file mesh.hpp.

friend class NURBSExtension

friend

Definition at line 59 of file mesh.hpp.

friend class ParMesh

friend

Definition at line 55 of file mesh.hpp.

friend class ParNCMesh

friend

Definition at line 56 of file mesh.hpp.

friend class Tetrahedron

friend

Definition at line 184 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 202 of file mesh.hpp.

Array<int> mfem::Mesh::bdr_attributes

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

Definition at line 204 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::BdrTransformation

protected

Definition at line 166 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_edge

protected

Definition at line 159 of file mesh.hpp.

Array<int> mfem::Mesh::be_to_face

protected

Definition at line 161 of file mesh.hpp.

Table* mfem::Mesh::bel_to_edge

protected

Definition at line 160 of file mesh.hpp.

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

protected

Definition at line 91 of file mesh.hpp.

CoarseFineTransformations mfem::Mesh::CoarseFineTr

protected

Definition at line 171 of file mesh.hpp.

int mfem::Mesh::Dim

protected

Definition at line 66 of file mesh.hpp.

Table* mfem::Mesh::edge_vertex

mutableprotected

Definition at line 163 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::EdgeTransformation

protected

Definition at line 167 of file mesh.hpp.

Table* mfem::Mesh::el_to_edge

protected

Definition at line 156 of file mesh.hpp.

Table* mfem::Mesh::el_to_el

protected

Definition at line 158 of file mesh.hpp.

Table* mfem::Mesh::el_to_face

protected

Definition at line 157 of file mesh.hpp.

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

protected

Definition at line 85 of file mesh.hpp.

Table* mfem::Mesh::face_edge

mutableprotected

Definition at line 162 of file mesh.hpp.

Array<FaceGeometricFactors*> mfem::Mesh::face_geom_factors

Optional face geometric factors.

Definition at line 210 of file mesh.hpp.

FaceElementTransformations mfem::Mesh::FaceElemTr

protected

Definition at line 168 of file mesh.hpp.

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

protected

Definition at line 92 of file mesh.hpp.

Array<FaceInfo> mfem::Mesh::faces_info

protected

Definition at line 153 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::FaceTransformation

protected

Definition at line 167 of file mesh.hpp.

Array<GeometricFactors*> mfem::Mesh::geom_factors

Optional geometric factors.

Definition at line 208 of file mesh.hpp.

Operation mfem::Mesh::last_operation

protected

Definition at line 218 of file mesh.hpp.

int mfem::Mesh::mesh_geoms

protected

Definition at line 78 of file mesh.hpp.

int mfem::Mesh::meshgen

protected

Definition at line 77 of file mesh.hpp.

int mfem::Mesh::nbBoundaryFaces

mutableprotected

Definition at line 75 of file mesh.hpp.

int mfem::Mesh::nbInteriorFaces

mutableprotected

These variables store the number of Interior and Boundary faces. Calling fes->GetMesh()->GetNBE() doesn't return the expected value in 3D because periodic meshes in 3D have some of their faces marked as boundary for visualization purpose in GLVis.

Definition at line 75 of file mesh.hpp.

Array<NCFaceInfo> mfem::Mesh::nc_faces_info

protected

Definition at line 154 of file mesh.hpp.

NCMesh* mfem::Mesh::ncmesh

Optional non-conforming mesh extension.

Definition at line 207 of file mesh.hpp.

GridFunction* mfem::Mesh::Nodes

protected

Definition at line 176 of file mesh.hpp.

int mfem::Mesh::NumOfBdrElements

protected

Definition at line 69 of file mesh.hpp.

int mfem::Mesh::NumOfEdges

protected

Definition at line 70 of file mesh.hpp.

int mfem::Mesh::NumOfElements

protected

Definition at line 69 of file mesh.hpp.

int mfem::Mesh::NumOfFaces

protected

Definition at line 70 of file mesh.hpp.

int mfem::Mesh::NumOfVertices

protected

Definition at line 69 of file mesh.hpp.

NURBSExtension* mfem::Mesh::NURBSext

Optional NURBS mesh extension.

Definition at line 206 of file mesh.hpp.

int mfem::Mesh::own_nodes

protected

Definition at line 177 of file mesh.hpp.

bool mfem::Mesh::remove_unused_vertices = true

static

Definition at line 215 of file mesh.hpp.

long mfem::Mesh::sequence

protected

Definition at line 83 of file mesh.hpp.

int mfem::Mesh::spaceDim

protected

Definition at line 67 of file mesh.hpp.

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

protected

Definition at line 185 of file mesh.hpp.

Array<Triple<int, int, int> > mfem::Mesh::tmp_vertex_parents

protected

Definition at line 189 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation

protected

Definition at line 165 of file mesh.hpp.

IsoparametricTransformation mfem::Mesh::Transformation2

protected

Definition at line 165 of file mesh.hpp.

Array<Vertex> mfem::Mesh::vertices

protected

Definition at line 90 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 181 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 179 of file mesh.hpp.

const int mfem::Mesh::vtk_quadratic_wedge

staticprotected

Initial value:

=

{ 0, 2, 1, 3, 5, 4, 8, 7, 6, 11, 10, 9, 12, 14, 13, 17, 16, 15}

Definition at line 180 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

Static 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