Grid-independent geometry. More...

#include <dune/geometry/mockgeometry.hh>

Inheritance diagram for Dune::MockGeometry< ctype, mydim, coorddim >:

Public Types
typedef FieldMatrix< ctype, coorddim, mydim >	Jacobian
	type of jacobian (also of jacobian inverse transposed) More...

typedef FieldMatrix< ctype, mydim, coorddim >	JacobianTransposed
	type of jacobian transposed More...

typedef CoordTraits::ctype	ctype
	Type used for coordinate components. More...

typedef FieldVector< ctype, mydimension >	LocalCoordinate
	Type used for parameter coordinates. More...

typedef FieldVector< ctype, coorddimension >	GlobalCoordinate
	Type used for world coordinates. More...

Public Member Functions
	MockGeometry ()
	Default constructor. More...

template<class CoordVector >
	MockGeometry (const GeometryType &type, const CoordVector &coords)
	Constructor using a GeometryType and a list of corner coordinates. More...

template<int fatherdim>
	MockGeometry (const MockGeometry< ctype, fatherdim, coorddim > &father, int i)
	obtain a geometry for a subentity More...

JacobianTransposed	jacobianTransposed (const typename Base::LocalCoordinate &local) const
	Return the transposed of the Jacobian. More...

Jacobian	jacobianInverseTransposed (const typename Base::LocalCoordinate &local) const
	Return inverse of transposed of Jacobian. More...

	operator bool () const
	bool cast More...

GeometryType	type () const
	Return the topological type of this geometry. More...

int	corners () const
	Return the number of corners. More...

GlobalCoordinate	corner (const int i) const
	Return the world coordinates of the i-th corner. More...

GlobalCoordinate	global (const LocalCoordinate &local) const
	Map local to global coordinates. More...

LocalCoordinate	local (const GlobalCoordinate &global) const
	Map global to local coordinates. More...

GlobalCoordinate	center () const
	return center of element More...

bool	affine () const
	Return true if this is an affine geometry. More...

ctype	integrationElement (const LocalCoordinate &local) const
	Return the factor $\|det F\|$ that appears in the integral transformation formula. More...

ctype	volume () const
	Return the volume of the element. More...

const JacobianTransposed &	jacobianTransposed (const LocalCoordinate &local) const
	Compute the transpose of the Jacobian matrix of the transformation from the reference element into the world space. More...

const JacobianInverseTransposed &	jacobianInverseTransposed (const LocalCoordinate &local) const
	Compute the transpose of the inverse Jacobian matrix of the transformation from the reference element into the world space. More...

Static Public Attributes
static const int	mydimension
	The dimension of the parameter space of this geometry. More...

static const int	coorddimension
	The dimension of the world space of this geometry. More...

Protected Types
typedef conditional< hybrid, Hybrid< true >, NonHybrid < false > >::type::MappingFactory	MappingFactory

typedef MappingFactory::Mapping	Mapping

Detailed Description

template<class ctype, std::size_t mydim, std::size_t coorddim>
class Dune::MockGeometry< ctype, mydim, coorddim >

Grid-independent geometry.

This geometry can be used when somewhing mostly like a Dune::Geometry is required, but a full grid is a little bit too much. It provides the full interface of Dune::Geometry, except for the grid-specific member constants dimension and dimensionworld.

One further difference is that the jacobian methods return by value instead of by reference. The Jacobian depends on the local coordinate; returning it by reference is asking for trouble.

Template Parameters

ctype	Field type for coordinates.
mydim	Dimension of the local coordinates.
coorddim	Dimension of the global coordinates.

Member Typedef Documentation

typedef CoordTraits :: ctype Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::ctype

inherited

Type used for coordinate components.

typedef FieldVector< ctype, coorddimension > Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::GlobalCoordinate

inherited

Type used for world coordinates.

template<class ctype , std::size_t mydim, std::size_t coorddim>

typedef FieldMatrix<ctype, coorddim, mydim> Dune::MockGeometry< ctype, mydim, coorddim >::Jacobian

type of jacobian (also of jacobian inverse transposed)

template<class ctype , std::size_t mydim, std::size_t coorddim>

typedef FieldMatrix<ctype, mydim, coorddim> Dune::MockGeometry< ctype, mydim, coorddim >::JacobianTransposed

type of jacobian transposed

typedef FieldVector< ctype, mydimension > Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::LocalCoordinate

inherited

Type used for parameter coordinates.

typedef MappingFactory::Mapping Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::Mapping

protectedinherited

typedef conditional< hybrid, Hybrid< true >, NonHybrid< false > >::type::MappingFactory Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::MappingFactory

protectedinherited

Constructor & Destructor Documentation

template<class ctype , std::size_t mydim, std::size_t coorddim>

Dune::MockGeometry< ctype, mydim, coorddim >::MockGeometry ( )

inline

Default constructor.

Deprecated:: "MockGeometry is deprecated; use MultiLinearGeometry instead."

template<class ctype , std::size_t mydim, std::size_t coorddim>

template<class CoordVector >

Dune::MockGeometry< ctype, mydim, coorddim >::MockGeometry	(	const GeometryType &	type,
		const CoordVector &	coords
	)

inline

Constructor using a GeometryType and a list of corner coordinates.

Deprecated:: "MockGeometry is deprecated; use MultiLinearGeometry instead."

template<class ctype , std::size_t mydim, std::size_t coorddim>

template<int fatherdim>

Dune::MockGeometry< ctype, mydim, coorddim >::MockGeometry	(	const MockGeometry< ctype, fatherdim, coorddim > &	father,
		int	i
	)

inline

obtain a geometry for a subentity

Deprecated:: "MockGeometry is deprecated; use MultiLinearGeometry instead."

Member Function Documentation

bool Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::affine ( ) const

inlineinherited

Return true if this is an affine geometry.

GlobalCoordinate Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::center ( ) const

inlineinherited

return center of element

GlobalCoordinate Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::corner ( const int i ) const

inlineinherited

Return the world coordinates of the i-th corner.

int Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::corners ( ) const

inlineinherited

Return the number of corners.

GlobalCoordinate Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::global ( const LocalCoordinate & local ) const

inlineinherited

Map local to global coordinates.

ctype Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::integrationElement ( const LocalCoordinate & local ) const

inlineinherited

Return the factor $|det F|$ that appears in the integral transformation formula.

template<class ctype , std::size_t mydim, std::size_t coorddim>

Jacobian Dune::MockGeometry< ctype, mydim, coorddim >::jacobianInverseTransposed ( const typename Base::LocalCoordinate & local ) const

inline

Return inverse of transposed of Jacobian.

References Dune::GenericGeometry::BasicGeometry< mydim, Traits >::jacobianInverseTransposed().

const JacobianInverseTransposed& Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::jacobianInverseTransposed ( const LocalCoordinate & local ) const

inlineinherited

Compute the transpose of the inverse Jacobian matrix of the transformation from the reference element into the world space.

template<class ctype , std::size_t mydim, std::size_t coorddim>

JacobianTransposed Dune::MockGeometry< ctype, mydim, coorddim >::jacobianTransposed ( const typename Base::LocalCoordinate & local ) const

inline

Return the transposed of the Jacobian.

References Dune::GenericGeometry::BasicGeometry< mydim, Traits >::jacobianTransposed().

const JacobianTransposed& Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::jacobianTransposed ( const LocalCoordinate & local ) const

inlineinherited

Compute the transpose of the Jacobian matrix of the transformation from the reference element into the world space.

LocalCoordinate Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::local ( const GlobalCoordinate & global ) const

inlineinherited

Map global to local coordinates.

Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::operator bool ( ) const

inlineinherited

bool cast

Like a pointer, a BasicGeometry casts to true if and only if it is properly initialized. If a geometry casts to false, none of the interface methods may be called.

GeometryType Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::type ( ) const

inlineinherited

Return the topological type of this geometry.

ctype Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::volume ( ) const

inlineinherited

Return the volume of the element.

Member Data Documentation

const int Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::coorddimension

staticinherited

The dimension of the world space of this geometry.

const int Dune::GenericGeometry::BasicGeometry< mydim, GenericGeometry::DefaultGeometryTraits< ctype, coorddim, coorddim > >::mydimension

staticinherited

The dimension of the parameter space of this geometry.

The documentation for this class was generated from the following file:

mockgeometry.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Types

Detailed Description

template<class ctype, std::size_t mydim, std::size_t coorddim> class Dune::MockGeometry< ctype, mydim, coorddim >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class ctype, std::size_t mydim, std::size_t coorddim>
class Dune::MockGeometry< ctype, mydim, coorddim >