Dune::GenericGeometry Namespace Reference

Classes
struct	BaseTopology
struct	BaseTopology< Prism< Base > >
struct	BaseTopology< Pyramid< Base > >
class	BasicGeometry
	generic implementation of DUNE geometries More...
class	CachedJacobianInverseTransposed
class	CachedJacobianTransposed
class	CachedMapping
class	CachedStorage
class	CodimTable
class	CodimTable< Element,-1 >
struct	Convert
struct	Convert< GeometryType::cube, 0 >
struct	Convert< GeometryType::cube, dim >
struct	Convert< GeometryType::prism, dim >
struct	Convert< GeometryType::pyramid, dim >
struct	Convert< GeometryType::simplex, 0 >
struct	Convert< GeometryType::simplex, dim >
class	CoordPointerStorage
class	CoordStorage
class	CornerMapping
	implementation of GenericGeometry::Mapping for first order lagrange type reference mappings. More...
struct	CubeTopology
struct	CubeTopology< 0 >
struct	DefaultGeometryTraits
	default settings for BasicGeometry More...
struct	DuneCoordTraits
class	DuneGeometryType
	statically convert a generic topology type into a GeometryType More...
class	DuneGeometryType< Point, linetype >
class	DuneGeometryType< Prism< BaseTopology >, linetype >
class	DuneGeometryType< Pyramid< BaseTopology >, linetype >
class	DuneGeometryTypeProvider
	dynamically convert a generic topology type into a GeometryType More...
struct	FieldHelper
class	GenericCornerMapping
class	GenericCornerMapping< Point, Traits, affine, offset >
class	GenericCornerMapping< Prism< BaseTopology >, Traits, affine, offset >
class	GenericCornerMapping< Pyramid< BaseTopology >, Traits, affine, offset >
class	GenericSubTopologyNumbering
struct	GenericSubTopologyNumberingHelper
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, 0 >
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, subcodim >
struct	GenericSubTopologyNumberingHelper< Prism< BaseTopology >, codim, subdim, subdim >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, 0 >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, subcodim >
struct	GenericSubTopologyNumberingHelper< Pyramid< BaseTopology >, codim, subdim, subdim >
class	Geometry
	generic implementation of a DUNE (global) geometry More...
struct	GlobalGeometryTraits
	grid specific information required by GenericGeometry::Geometry More...
struct	GlobalGeometryTraits< const Grid >
class	HybridMapping
	abstract base class for generic mapping More...
class	IfTopology
class	IfTopology< Operation, 0, Topology >
struct	IsCube
struct	IsGeneralizedPrism
struct	IsGeneralizedPrism< Prism< BaseTopology > >
struct	IsHybrid
struct	IsSimplex
class	LocalGeometry
	generic implementation of a DUNE (local) geometry More...
struct	LocalGeometryTraits
	grid specific information required by GenericGeometry::LocalGeometry More...
struct	LocalGeometryTraits< const Grid >
class	Mapping
	interface for a mapping More...
class	MappingProvider
class	MappingProvider< HybridMapping< dim, GeometryTraits >, codim >
class	MappingProvider< NonHybridMapping< Topology, GeometryTraits >, codim >
struct	MappingTraits
	Default mapping traits using Dune::FieldVector and Dune::FieldMatrix. More...
struct	MatrixHelper
struct	Maximum
class	NonHybridMapping
	non-virtual geometric mapping More...
class	NonHybridMappingFactory
struct	Point
struct	Prism
struct	PrismTopology
struct	Pyramid
struct	PyramidTopology
struct	ReferenceDomain
class	ReferenceDomainBase
struct	ReferenceElement
struct	SimplexTopology
struct	SimplexTopology< 0 >
struct	Size
	Statically compute the number of subentities of a given codimension. More...
class	SizeImpl
class	SizeImpl< Point, dim, codim >
class	SizeImpl< Prism< BaseTopology >, dim, 0 >
class	SizeImpl< Prism< BaseTopology >, dim, codim >
class	SizeImpl< Prism< BaseTopology >, dim, dim >
class	SizeImpl< Pyramid< BaseTopology >, dim, 0 >
class	SizeImpl< Pyramid< BaseTopology >, dim, codim >
class	SizeImpl< Pyramid< BaseTopology >, dim, dim >
struct	StaticMaximum
class	SubMappingCoords
struct	SubTopology
class	SubTopologyImpl
class	SubTopologyImpl< Point, dim, codim, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, 0, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, codim, i >
class	SubTopologyImpl< Prism< BaseTopology >, dim, dim, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, 0, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, codim, i >
class	SubTopologyImpl< Pyramid< BaseTopology >, dim, dim, i >
class	SubTopologyMapper
class	SubTopologyNumbering
class	SubTopologySize
class	Topology
class	Topology< id, 0 >
class	TraceProvider
class	VirtualMapping
class	VirtualMappingFactory

Enumerations
enum	EvaluationType { ComputeOnDemand, PreCompute }
	If not affine only volume is cached (based on intElCompute) otherwise all quantities can be cached. More...
enum	TopologyConstruction { pyramidConstruction = 0, prismConstruction = 1 }

Functions
unsigned long	referenceVolumeInverse (unsigned int topologyId, int dim)
template<class ct , int cdim>
bool	checkInside (unsigned int topologyId, int dim, const FieldVector< ct, cdim > &x, ct tolerance, ct factor=ct(1))
template<class ct , int cdim>
unsigned int	referenceCorners (unsigned int topologyId, int dim, FieldVector< ct, cdim > *corners)
template<class ct >
ct	referenceVolume (unsigned int topologyId, int dim)
template<class ct , int cdim>
unsigned int	referenceOrigins (unsigned int topologyId, int dim, int codim, FieldVector< ct, cdim > *origins)
template<class ct , int cdim, int mydim>
unsigned int	referenceEmbeddings (unsigned int topologyId, int dim, int codim, FieldVector< ct, cdim > *origins, FieldMatrix< ct, mydim, cdim > *jacobianTransposeds)
template<class ct , int cdim>
unsigned int	referenceIntegrationOuterNormals (unsigned int topologyId, int dim, const FieldVector< ct, cdim > *origins, FieldVector< ct, cdim > *normals)
template<class ct , int cdim>
unsigned int	referenceIntegrationOuterNormals (unsigned int topologyId, int dim, FieldVector< ct, cdim > *normals)
unsigned int	size (unsigned int topologyId, int dim, int codim)
	Compute the number of subentities of a given codimension. More...
unsigned int	subTopologyId (unsigned int topologyId, int dim, int codim, unsigned int i)
	Compute the topology id of a given subentity. More...
void	subTopologyNumbering (unsigned int topologyId, int dim, int codim, unsigned int i, int subcodim, unsigned int *beginOut, unsigned int *endOut)
unsigned int	numTopologies (int dim)
	obtain the number of topologies of a given dimension More...
bool	isPyramid (unsigned int topologyId, int dim, int codim=0)
	check whether a pyramid construction was used to create a given codimension More...
bool	isPrism (unsigned int topologyId, int dim, int codim=0)
	check whether a prism construction was used to create a given codimension More...
bool	isTopology (TopologyConstruction construction, unsigned int topologyId, int dim, int codim=0)
	check whether a specific topology construction was used to create a given codimension More...
unsigned int	baseTopologyId (unsigned int topologyId, int dim, int codim=1)
	obtain the base topology of a given codimension More...

Enumeration Type Documentation

enum Dune::GenericGeometry::EvaluationType

If not affine only volume is cached (based on intElCompute) otherwise all quantities can be cached.

Enumerator
ComputeOnDemand	assign if method called using barycenter
PreCompute	assign in constructor using barycenter

enum Dune::GenericGeometry::TopologyConstruction

Enumerator
pyramidConstruction
prismConstruction

Function Documentation

unsigned int Dune::GenericGeometry::baseTopologyId ( unsigned int  topologyId, int  dim, int  codim = 1  )

inline

obtain the base topology of a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 1)

References numTopologies().

Referenced by checkInside(), referenceCorners(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), size(), subTopologyId(), and subTopologyNumbering().

template<class ct , int cdim>

bool Dune::GenericGeometry::checkInside ( unsigned int  topologyId, int  dim, const FieldVector< ct, cdim > &  x, ct  tolerance, ct  factor = ct( 1 )  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by Dune::GenericGeometry::ReferenceDomain< Topology >::checkInside().

bool Dune::GenericGeometry::isPrism ( unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a prism construction was used to create a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if a prism construction was used to generate the codimension the topology.

References numTopologies().

Referenced by Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::affine(), checkInside(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::global(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::jacobianTransposed(), referenceCorners(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), size(), subTopologyId(), and subTopologyNumbering().

bool Dune::GenericGeometry::isPyramid ( unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a pyramid construction was used to create a given codimension

Parameters

[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if a pyramid construction was used to generate the codimension the topology.

References numTopologies().

Referenced by Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::global(), Dune::MultiLinearGeometry< ct, mydim, cdim, Traits >::jacobianTransposed(), size(), subTopologyId(), and subTopologyNumbering().

bool Dune::GenericGeometry::isTopology ( TopologyConstruction  construction, unsigned int  topologyId, int  dim, int  codim = 0  )

inline

check whether a specific topology construction was used to create a given codimension

Parameters

[in]	construction	construction to check for
[in]	topologyId	id of the topology
[in]	dim	dimension of the topology
[in]	codim	codimension for which the information is desired (defaults to 0)

Returns

true, if construction was used to generate the codimension the topology.

References numTopologies().

unsigned int Dune::GenericGeometry::numTopologies ( int  dim )

inline

obtain the number of topologies of a given dimension

Note

Valid topology ids are 0,...,numTopologies(dim)-1.

Parameters

[in]

dim

dimension

Returns

number of topologies for the dimension

Referenced by baseTopologyId(), checkInside(), isPrism(), isPyramid(), isTopology(), referenceCorners(), referenceEmbeddings(), referenceIntegrationOuterNormals(), referenceOrigins(), referenceVolumeInverse(), and size().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceCorners ( unsigned int  topologyId, int  dim, FieldVector< ct, cdim > *  corners  )

inline

References baseTopologyId(), isPrism(), numTopologies(), and size().

template<class ct , int cdim, int mydim>

unsigned int Dune::GenericGeometry::referenceEmbeddings ( unsigned int  topologyId, int  dim, int  codim, FieldVector< ct, cdim > *  origins, FieldMatrix< ct, mydim, cdim > *  jacobianTransposeds  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceIntegrationOuterNormals ( unsigned int  topologyId, int  dim, const FieldVector< ct, cdim > *  origins, FieldVector< ct, cdim > *  normals  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by referenceIntegrationOuterNormals().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceIntegrationOuterNormals ( unsigned int  topologyId, int  dim, FieldVector< ct, cdim > *  normals  )

inline

References referenceIntegrationOuterNormals(), referenceOrigins(), and size().

template<class ct , int cdim>

unsigned int Dune::GenericGeometry::referenceOrigins ( unsigned int  topologyId, int  dim, int  codim, FieldVector< ct, cdim > *  origins  )

inline

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by referenceIntegrationOuterNormals().

template<class ct >

ct Dune::GenericGeometry::referenceVolume ( unsigned int  topologyId, int  dim  )

inline

References referenceVolumeInverse().

unsigned long Dune::GenericGeometry::referenceVolumeInverse	(	unsigned int	topologyId,
		int	dim
	)

References baseTopologyId(), isPrism(), and numTopologies().

Referenced by referenceVolume().

unsigned int Dune::GenericGeometry::size	(	unsigned int	topologyId,
		int	dim,
		int	codim
	)

Compute the number of subentities of a given codimension.

References baseTopologyId(), isPrism(), isPyramid(), and numTopologies().

Referenced by Dune::GenericReferenceElement< ctype, dim >::SubEntityInfo::Initialize< Topology, codim >::apply(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, dimension >::coords(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, dimension >::equals(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, 0 >::equals(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, dimension >::increment(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, 0 >::increment(), Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize(), referenceCorners(), referenceIntegrationOuterNormals(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, dimension >::RefinementIteratorSpecial(), Dune::RefinementImp::Simplex::RefinementIteratorSpecial< dimension, CoordType, 0 >::RefinementIteratorSpecial(), subTopologyId(), Dune::GenericGeometry::SubTopologyMapper< Topology >::SubTopologyMapper(), and subTopologyNumbering().

unsigned int Dune::GenericGeometry::subTopologyId	(	unsigned int	topologyId,
		int	dim,
		int	codim,
		unsigned int	i
	)

Compute the topology id of a given subentity.

Parameters

topologyId	Topology id of entity
dim	Dimension of entity
codim	Codimension of the subentity that we are interested in
i	Number of the subentity that we are interested in

References baseTopologyId(), isPrism(), isPyramid(), prismConstruction, pyramidConstruction, and size().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize(), and subTopologyNumbering().

void Dune::GenericGeometry::subTopologyNumbering	(	unsigned int	topologyId,
		int	dim,
		int	codim,
		unsigned int	i,
		int	subcodim,
		unsigned int *	beginOut,
		unsigned int *	endOut
	)

References baseTopologyId(), isPrism(), isPyramid(), size(), and subTopologyId().

Referenced by Dune::ReferenceElement< ctype, dim >::SubEntityInfo::initialize().