Dune::YaspGeometry< mydim, mydim, GridImp > Class Template Reference

specialize for dim=dimworld, i.e. a volume element More...

#include <dune/grid/yaspgrid/yaspgridgeometry.hh>

Public Types
typedef FieldVector< ctype, dim >	LocalCoordinate
	Type used for a vector of element coordinates.
typedef FieldVector< ctype, coorddim >	GlobalCoordinate
	Type used for a vector of world coordinates.
typedef ctype	Volume
	Type used for volume.
typedef std::conditional< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, dim, coorddim > >::type	JacobianTransposed
	Return type of jacobianTransposed. More...
typedef std::conditional< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, coorddim, dim > >::type	JacobianInverseTransposed
	Return type of jacobianInverseTransposed. More...
using	Jacobian = std::conditional_t< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, coorddim, dim > >
	Return type of jacobian. More...
using	JacobianInverse = std::conditional_t< dim==coorddim, DiagonalMatrix< ctype, dim >, FieldMatrix< ctype, dim, coorddim > >
	Return type of jacobianInverse. More...

Public Member Functions
	YaspGeometry (const FieldVector< ctype, mydim > &ll, const FieldVector< ctype, mydim > &ur)
	constructor from midpoint and extension
	YaspGeometry (const YaspGeometry &other)
	copy constructor (skipping temporary variables)
GeometryType	type () const
	Type of the cube. Here: a hypercube of the correct dimension.
GlobalCoordinate	global (const LocalCoordinate &local) const
	Map a point in local (element) coordinates to world coordinates.
LocalCoordinate	local (const GlobalCoordinate &global) const
	Map a point in global (world) coordinates to element coordinates.
JacobianTransposed	jacobianTransposed (const LocalCoordinate &local) const
	Jacobian transposed of the transformation from local to global coordinates.
JacobianInverseTransposed	jacobianInverseTransposed (const LocalCoordinate &local) const
	Inverse Jacobian transposed of the transformation from local to global coordinates.
Jacobian	jacobian (const LocalCoordinate &local) const
	Jacobian of the transformation from local to global coordinates.
JacobianInverse	jacobianInverse (const LocalCoordinate &local) const
	Inverse Jacobian of the transformation from local to global coordinates.
Volume	integrationElement (const LocalCoordinate &local) const
	Return the integration element, i.e., the determinant term in the integral transformation formula.
GlobalCoordinate	center () const
	Return center of mass of the element.
int	corners () const
	Return the number of corners of the element.
GlobalCoordinate	corner (int k) const
	Return world coordinates of the k-th corner of the element.
Volume	volume () const
	Return the element volume.
bool	affine () const
	Return if the element is affine. Here: yes.

Static Public Attributes
static constexpr int	mydimension
	Dimension of the cube element.
static constexpr int	coorddimension
	Dimension of the world space that the cube element is embedded in.

Detailed Description

template<int mydim, class GridImp>
class Dune::YaspGeometry< mydim, mydim, GridImp >

specialize for dim=dimworld, i.e. a volume element

Member Typedef Documentation

Jacobian

using Dune::AxisAlignedCubeGeometry< GridImp::ctype , dim, coorddim >::Jacobian = std::conditional_t<dim==coorddim, DiagonalMatrix<ctype,dim>, FieldMatrix<ctype,coorddim,dim> >

inherited

Return type of jacobian.

This is a fast DiagonalMatrix if dim==coorddim, and a FieldMatrix otherwise. The FieldMatrix will never contain more than one entry per row, hence it could be replaced by something more efficient.

JacobianInverse

using Dune::AxisAlignedCubeGeometry< GridImp::ctype , dim, coorddim >::JacobianInverse = std::conditional_t<dim==coorddim, DiagonalMatrix<ctype,dim>, FieldMatrix<ctype,dim,coorddim> >

inherited

Return type of jacobianInverse.

This is a fast DiagonalMatrix if dim==coorddim, and a FieldMatrix otherwise. The FieldMatrix will never contain more than one entry per row, hence it could be replaced by something more efficient.

JacobianInverseTransposed

typedef std::conditional<dim==coorddim,DiagonalMatrix<ctype,dim>,FieldMatrix<ctype,coorddim,dim>>::type Dune::AxisAlignedCubeGeometry< GridImp::ctype , dim, coorddim >::JacobianInverseTransposed

inherited

Return type of jacobianInverseTransposed.

This is a fast DiagonalMatrix if dim==coorddim, and a FieldMatrix otherwise. The FieldMatrix will never contain more than one entry per column, hence it could be replaced by something more efficient.

JacobianTransposed

typedef std::conditional<dim==coorddim,DiagonalMatrix<ctype,dim>,FieldMatrix<ctype,dim,coorddim>>::type Dune::AxisAlignedCubeGeometry< GridImp::ctype , dim, coorddim >::JacobianTransposed

inherited

Return type of jacobianTransposed.

This is a fast DiagonalMatrix if dim==coorddim, and a FieldMatrix otherwise. The FieldMatrix will never contain more than one entry per row, hence it could be replaced by something more efficient.

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

• dune/grid/yaspgrid/yaspgridgeometry.hh