Dune::GenericGeometry::LocalGeometry< mydim, cdim, Grid > Class Template Reference

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

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

Public Types
typedef CoordTraits::ctype	ctype
	Type used for coordinate components.
typedef FieldVector< ctype, mydimension >	LocalCoordinate
	Type used for parameter coordinates.
typedef FieldVector< ctype, coorddimension >	GlobalCoordinate
	Type used for world coordinates.
typedef Mapping::JacobianTransposed	JacobianTransposed
	Type used for Jacobian matrices. More...
typedef Mapping::JacobianInverseTransposed	Jacobian
	Type used for Jacobian matrices. More...

Public Member Functions
template<class Geo >
	LocalGeometry (const Geo &geo)
	Copy constructor from another geometry.
template<class CoordVector >
	LocalGeometry (const GeometryType &type, const CoordVector &coords)
	Constructor with a GeometryType and a set of coordinates.
template<int fatherdim>
	LocalGeometry (const Geometry< fatherdim, cdim, Grid > &father, int i)
	LocalCoordinate (const GlobalCoordinate &global) const
	Map global to local coordinates.
	operator bool () const
	bool cast More...
GeometryType	type () const
	Return the topological type of this geometry.
int	corners () const
	Return the number of corners.
GlobalCoordinate	corner (const int i) const
	Return the world coordinates of the i-th corner.
GlobalCoordinate	global (const LocalCoordinate &local) const
	Map local to global coordinates.
GlobalCoordinate	center () const
	return center of element
bool	affine () const
	Return true if this is an affine geometry.
ctype	integrationElement (const LocalCoordinate &local) const
	Return the factor $|det F|$ that appears in the integral transformation formula.
ctype	volume () const
	Return the volume of the element.
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.
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.

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

Detailed Description

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

generic implementation of a DUNE (local) geometry

LocalGeometry inherits all its features from BasicGeometry. It only adds LocalGeometryTraits< 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

Jacobian

typedef Mapping::JacobianInverseTransposed Dune::GenericGeometry::BasicGeometry< mydim, LocalGeometryTraits< 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.

JacobianTransposed

typedef Mapping::JacobianTransposed Dune::GenericGeometry::BasicGeometry< mydim, LocalGeometryTraits< 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.

Constructor & Destructor Documentation

LocalGeometry()

template<int mydim, int cdim, class Grid >

template<int fatherdim>

Dune::GenericGeometry::LocalGeometry< mydim, cdim, Grid >::LocalGeometry ( const Geometry< fatherdim, cdim, Grid > &  father, int  i  )

inline

Todo:

Please doc me!

Member Function Documentation

operator bool()

Dune::GenericGeometry::BasicGeometry< mydim, LocalGeometryTraits< Grid > >::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.

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

• dune/geometry/genericgeometry/geometry.hh