Dune::AlbertaGridGeometry< mydim, cdim, GridImp > Class Template Reference

geometry implementation for AlbertaGrid More...

#include <dune/grid/albertagrid/geometry.hh>

Inheritance diagram for Dune::AlbertaGridGeometry< mydim, cdim, GridImp >:

Public Types
typedef Alberta::Real	ctype
	type of coordinates More...
typedef FieldVector< ctype, mydimension >	LocalCoordinate
typedef FieldVector< ctype, coorddimension >	GlobalCoordinate
typedef FieldMatrix< ctype, mydimension, coorddimension >	JacobianTransposed
typedef FieldMatrix< ctype, coorddimension, mydimension >	JacobianInverseTransposed
typedef FieldMatrix< ctype, coorddimension, mydimension >	Jacobian
typedef FieldMatrix< ctype, mydimension, coorddimension >	JacobianInverse

Public Member Functions
	AlbertaGridGeometry ()
template<class CoordReader >
	AlbertaGridGeometry (const CoordReader &coordReader)
GeometryType	type () const
	obtain the type of reference element More...
bool	affine () const
	returns always true since we only have simplices More...
int	corners () const
	number of corner the geometry More...
GlobalCoordinate	corner (const int i) const
	obtain the i-th corner of this geometry More...
GlobalCoordinate	center () const
	return center of geometry More...
GlobalCoordinate	global (const LocalCoordinate &local) const
	map a point from the reference element to the geometry More...
	LocalCoordinate (const GlobalCoordinate &global) const
	map a point from the geometry to the reference element More...
ctype	integrationElement () const
	integration element of the geometry mapping More...
ctype	integrationElement (const LocalCoordinate &local) const
	integration element of the geometry mapping More...
ctype	volume () const
	volume of geometry More...
const JacobianTransposed &	jacobianTransposed () const
	transposed of the geometry mapping's Jacobian More...
const JacobianTransposed &	jacobianTransposed (const LocalCoordinate &local) const
	transposed of the geometry mapping's Jacobian More...
const JacobianInverseTransposed &	jacobianInverseTransposed () const
	transposed inverse of the geometry mapping's Jacobian More...
const JacobianInverseTransposed &	jacobianInverseTransposed (const LocalCoordinate &local) const
	transposed inverse of the geometry mapping's Jacobian More...
Jacobian	jacobian (const LocalCoordinate &local) const
	geometry mapping's Jacobian More...
JacobianInverse	jacobianInverse (const LocalCoordinate &local) const
	inverse of the geometry mapping's Jacobian More...
void	invalidate ()
	invalidate the geometry More...
template<class CoordReader >
void	build (const CoordReader &coordReader)
	build the geometry from a coordinate reader More...
void	print (std::ostream &out) const

Static Public Attributes
static constexpr int	dimension = Grid :: dimension
static constexpr int	mydimension = mydim
static constexpr int	codimension = dimension - mydimension
static constexpr int	coorddimension = cdim

Detailed Description

template<int mydim, int cdim, class GridImp>
class Dune::AlbertaGridGeometry< mydim, cdim, GridImp >

geometry implementation for AlbertaGrid

Defines the geometry part of a mesh entity. Works for all dimensions, element types and dim of world. Provides reference element and mapping between local and global coordinates.

Template Parameters

mydim	dimension of the element (0 <= dim <= 3)
cdim	dimension of global coordinates
GridImp	grid implementation (always const AlbertaGrid< dim, dimworld >)

Member Typedef Documentation

ctype

template<int mydim, int cdim, class GridImp >

typedef Alberta::Real Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::ctype

type of coordinates

GlobalCoordinate

template<int mydim, int cdim, class GridImp >

typedef FieldVector< ctype, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::GlobalCoordinate

Jacobian

template<int mydim, int cdim, class GridImp >

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::Jacobian

JacobianInverse

template<int mydim, int cdim, class GridImp >

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::JacobianInverse

JacobianInverseTransposed

template<int mydim, int cdim, class GridImp >

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::JacobianInverseTransposed

JacobianTransposed

template<int mydim, int cdim, class GridImp >

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::JacobianTransposed

LocalCoordinate

template<int mydim, int cdim, class GridImp >

typedef FieldVector< ctype, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::LocalCoordinate

Constructor & Destructor Documentation

AlbertaGridGeometry() [1/2]

template<int mydim, int cdim, class GridImp >

Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::AlbertaGridGeometry ( )

inline

AlbertaGridGeometry() [2/2]

template<int mydim, int cdim, class GridImp >

template<class CoordReader >

Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::AlbertaGridGeometry ( const CoordReader &  coordReader )

inline

Member Function Documentation

affine()

template<int mydim, int cdim, class GridImp >

bool Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::affine ( ) const

inline

returns always true since we only have simplices

build()

template<int mydim, int cdim, class GridImp >

template<class CoordReader >

void Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::build ( const CoordReader &  coordReader )

inline

build the geometry from a coordinate reader

center()

template<int mydim, int cdim, class GridImp >

GlobalCoordinate Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::center ( ) const

inline

return center of geometry

corner()

template<int mydim, int cdim, class GridImp >

GlobalCoordinate Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::corner ( const int  i ) const

inline

obtain the i-th corner of this geometry

corners()

template<int mydim, int cdim, class GridImp >

int Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::corners ( ) const

inline

number of corner the geometry

global()

template<int mydim, int cdim, class GridImp >

AlbertaGridGeometry< mydim, cdim, GridImp >::GlobalCoordinate Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::global ( const LocalCoordinate &  local ) const

inline

map a point from the reference element to the geometry

integrationElement() [1/2]

template<int mydim, int cdim, class GridImp >

ctype Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::integrationElement ( ) const

inline

integration element of the geometry mapping

Note

This method is not part of the geometry interface. It is used internally only.

integrationElement() [2/2]

template<int mydim, int cdim, class GridImp >

ctype Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::integrationElement ( const LocalCoordinate &  local ) const

inline

integration element of the geometry mapping

invalidate()

template<int mydim, int cdim, class GridImp >

void Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::invalidate ( )

inline

invalidate the geometry

jacobian()

template<int mydim, int cdim, class GridImp >

Jacobian Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobian ( const LocalCoordinate &  local ) const

inline

geometry mapping's Jacobian

jacobianInverse()

template<int mydim, int cdim, class GridImp >

JacobianInverse Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobianInverse ( const LocalCoordinate &  local ) const

inline

inverse of the geometry mapping's Jacobian

jacobianInverseTransposed() [1/2]

template<int mydim, int cdim, class GridImp >

const AlbertaGridGeometry< mydim, cdim, GridImp >::JacobianInverseTransposed & Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobianInverseTransposed

inline

transposed inverse of the geometry mapping's Jacobian

Note

This method is not part of the geometry interface. It is used internally only.

jacobianInverseTransposed() [2/2]

template<int mydim, int cdim, class GridImp >

const JacobianInverseTransposed & Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobianInverseTransposed ( const LocalCoordinate &  local ) const

inline

transposed inverse of the geometry mapping's Jacobian

jacobianTransposed() [1/2]

template<int mydim, int cdim, class GridImp >

const AlbertaGridGeometry< mydim, cdim, GridImp >::JacobianTransposed & Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobianTransposed

inline

transposed of the geometry mapping's Jacobian

Note

This method is not part of the geometry interface. It is used internally only.

jacobianTransposed() [2/2]

template<int mydim, int cdim, class GridImp >

const JacobianTransposed & Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::jacobianTransposed ( const LocalCoordinate &  local ) const

inline

transposed of the geometry mapping's Jacobian

LocalCoordinate()

template<int mydim, int cdim, class GridImp >

Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::LocalCoordinate

(

const GlobalCoordinate &

global

)

const

map a point from the geometry to the reference element

print()

template<int mydim, int cdim, class GridImp >

void Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::print ( std::ostream &  out ) const

inline

type()

template<int mydim, int cdim, class GridImp >

GeometryType Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::type ( ) const

inline

obtain the type of reference element

volume()

template<int mydim, int cdim, class GridImp >

ctype Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::volume ( ) const

inline

volume of geometry

Member Data Documentation

codimension

template<int mydim, int cdim, class GridImp >

constexpr int Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::codimension = dimension - mydimension

staticconstexpr

coorddimension

template<int mydim, int cdim, class GridImp >

constexpr int Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::coorddimension = cdim

staticconstexpr

dimension

template<int mydim, int cdim, class GridImp >

constexpr int Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::dimension = Grid :: dimension

staticconstexpr

mydimension

template<int mydim, int cdim, class GridImp >

constexpr int Dune::AlbertaGridGeometry< mydim, cdim, GridImp >::mydimension = mydim

staticconstexpr

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

• albertagrid/geometry.hh
• geometry.cc