generic implementation of a DUNE (global) geometry More...

#include <dune/geometry/genericgeometry/geometry.hh>

Inheritance diagram for Dune::GenericGeometry::Geometry< mydim, cdim, Grid >:

Public Types
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...

typedef Mapping::JacobianTransposed	JacobianTransposed
	Type used for Jacobian matrices. More...

typedef Mapping::JacobianInverseTransposed	Jacobian
	Type used for Jacobian matrices. More...

typedef Jacobian	JacobianInverseTransposed

Public Member Functions
	Geometry ()

template<class Geo >
	Geometry (const Geo &geo)
	Copy constructor from another geometry. More...

template<class CoordVector >
	Geometry (const GeometryType &type, const CoordVector &coords)
	Constructor with a GeometryType and a set of coordinates. More...

template<int fatherdim>
	Geometry (const Geometry< fatherdim, cdim, Grid > &father, int i)

	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 Base::Mapping	Mapping

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

Detailed Description

template<int mydim, int cdim, class Grid>
class Dune::GenericGeometry::Geometry< mydim, cdim, Grid >

generic implementation of a DUNE (global) geometry

Geometry inherits all its features from BasicGeometry. It only adds GlobalGeometryTraits< Grid > as Traits parameter to the template parameter list.

Template Parameters

mydim	Dimension of the entity
cdim	Dimension of the coordinate space
Grid	The grid this geometry will be used in

Member Typedef Documentation

typedef CoordTraits :: ctype Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::ctype

inherited

Type used for coordinate components.

typedef FieldVector< ctype, coorddimension > Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::GlobalCoordinate

inherited

Type used for world coordinates.

typedef Mapping::JacobianInverseTransposed Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::Jacobian

inherited

Type used for Jacobian matrices.

Note: This is not a FieldMatrix but a proxy type that can be assigned to a FieldMatrix.

typedef Jacobian Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::JacobianInverseTransposed

inherited

typedef Mapping::JacobianTransposed Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::JacobianTransposed

inherited

Type used for Jacobian matrices.

Note: This is not a FieldMatrix but a proxy type that can be assigned to a FieldMatrix.

typedef FieldVector< ctype, mydimension > Dune::GenericGeometry::BasicGeometry< mydim, GlobalGeometryTraits< Grid > >::LocalCoordinate

inherited

Type used for parameter coordinates.