Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > > Class Template Reference

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

Inheritance diagram for Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >:

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

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

Member Typedef Documentation

ctype [1/2]

template<int dim, int cdim>

typedef Alberta::Real Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::ctype

type of coordinates

ctype [2/2]

typedef Alberta::Real Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::ctype

type of coordinates

GlobalCoordinate [1/2]

template<int dim, int cdim>

typedef FieldVector< ctype, coorddimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::GlobalCoordinate

GlobalCoordinate [2/2]

typedef FieldVector< ctype, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::GlobalCoordinate

Jacobian [1/2]

template<int dim, int cdim>

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::Jacobian

Jacobian [2/2]

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::Jacobian

JacobianInverse [1/2]

template<int dim, int cdim>

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::JacobianInverse

JacobianInverse [2/2]

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::JacobianInverse

JacobianInverseTransposed [1/2]

template<int dim, int cdim>

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::JacobianInverseTransposed

JacobianInverseTransposed [2/2]

typedef FieldMatrix< ctype, coorddimension, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::JacobianInverseTransposed

JacobianTransposed [1/2]

template<int dim, int cdim>

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::JacobianTransposed

JacobianTransposed [2/2]

typedef FieldMatrix< ctype, mydimension, coorddimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::JacobianTransposed

LocalCoordinate [1/2]

template<int dim, int cdim>

typedef FieldVector< ctype, mydimension > Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::LocalCoordinate

LocalCoordinate [2/2]

typedef FieldVector< ctype, mydimension > Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::LocalCoordinate

Constructor & Destructor Documentation

AlbertaGridGlobalGeometry() [1/2]

template<int dim, int cdim>

Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::AlbertaGridGlobalGeometry ( )

inline

AlbertaGridGlobalGeometry() [2/2]

template<int dim, int cdim>

template<class CoordReader>

Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::AlbertaGridGlobalGeometry ( const CoordReader & coordReader )

inline

Member Function Documentation

affine()

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

inline

returns always true since we only have simplices

build() [1/2]

template<int dim, int cdim>

template<class CoordReader>

void Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::build ( const CoordReader & coordReader )

inline

build the geometry from a coordinate reader

build() [2/2]

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

inline

build the geometry from a coordinate reader

center() [1/2]

template<int dim, int cdim>

GlobalCoordinate Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::center ( ) const

inline

return center of geometry

center() [2/2]

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

inline

return center of geometry

corner() [1/2]

template<int dim, int cdim>

GlobalCoordinate Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::corner ( const int i ) const

inline

obtain the i-th corner of this geometry

corner() [2/2]

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

inline

obtain the i-th corner of this geometry

corners() [1/2]

template<int dim, int cdim>

int Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::corners ( ) const

inline

number of corner the geometry

corners() [2/2]

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

inline

number of corner the geometry

global() [1/2]

template<int dim, int cdim>

GlobalCoordinate Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::global

(

const LocalCoordinate &

local

)

const

map a point from the reference element to the geometry

global() [2/2]

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

inline

map a point from the reference element to the geometry

integrationElement() [1/4]

template<int dim, int cdim>

ctype Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::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() [2/4]

ctype Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::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() [3/4]

template<int dim, int cdim>

ctype Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::integrationElement ( const LocalCoordinate & local ) const

inline

integration element of the geometry mapping

integrationElement() [4/4]

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

inline

integration element of the geometry mapping

invalidate() [1/2]

template<int dim, int cdim>

void Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::invalidate ( )

inline

invalidate the geometry

invalidate() [2/2]

void Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::invalidate ( )

inline

invalidate the geometry

jacobian() [1/2]

template<int dim, int cdim>

Jacobian Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobian ( const LocalCoordinate & local ) const

inline

geometry mapping's Jacobian

jacobian() [2/2]

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

inline

geometry mapping's Jacobian

jacobianInverse() [1/2]

template<int dim, int cdim>

JacobianInverse Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobianInverse ( const LocalCoordinate & local ) const

inline

inverse of the geometry mapping's Jacobian

jacobianInverse() [2/2]

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

inline

inverse of the geometry mapping's Jacobian

jacobianInverseTransposed() [1/4]

template<int dim, int cdim>

const JacobianInverseTransposed & Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobianInverseTransposed ( ) const

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() [2/4]

const AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::JacobianInverseTransposed & Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::jacobianInverseTransposed ( ) const

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() [3/4]

template<int dim, int cdim>

const JacobianInverseTransposed & Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobianInverseTransposed ( const LocalCoordinate & local ) const

inline

transposed inverse of the geometry mapping's Jacobian

jacobianInverseTransposed() [4/4]

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

inline

transposed inverse of the geometry mapping's Jacobian

jacobianTransposed() [1/4]

template<int dim, int cdim>

const JacobianTransposed & Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobianTransposed ( ) const

inline

transposed of the geometry mapping's Jacobian

Note

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

jacobianTransposed() [2/4]

const AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::JacobianTransposed & Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::jacobianTransposed ( ) const

inline

transposed of the geometry mapping's Jacobian

Note

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

jacobianTransposed() [3/4]

template<int dim, int cdim>

const JacobianTransposed & Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::jacobianTransposed ( const LocalCoordinate & local ) const

inline

transposed of the geometry mapping's Jacobian

jacobianTransposed() [4/4]

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

inline

transposed of the geometry mapping's Jacobian

local() [1/2]

template<int dim, int cdim>

LocalCoordinate Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::local

(

const GlobalCoordinate &

global

)

const

map a point from the geometry to the reference element

local() [2/2]

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

inline

map a point from the geometry to the reference element

print()

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

inline

type() [1/2]

template<int dim, int cdim>

GeometryType Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::type ( ) const

inline

obtain the type of reference element

type() [2/2]

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

inline

obtain the type of reference element

volume() [1/2]

template<int dim, int cdim>

ctype Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::volume ( ) const

inline

volume of geometry

volume() [2/2]

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

inline

volume of geometry

Member Data Documentation

codimension [1/2]

template<int dim, int cdim>

int Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::codimension = dimension - mydimension

staticconstexpr

codimension [2/2]

int Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::codimension

staticconstexpr

coorddimension [1/2]

template<int dim, int cdim>

int Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::coorddimension = cdim

staticconstexpr

coorddimension [2/2]

int Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::coorddimension

staticconstexpr

dimension [1/2]

template<int dim, int cdim>

int Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::dimension = Grid::dimension

staticconstexpr

dimension [2/2]

int Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::dimension

staticconstexpr

mydimension [1/2]

template<int dim, int cdim>

int Dune::AlbertaGridGlobalGeometry< dim, cdim, const AlbertaGrid< dim, cdim > >::mydimension = dimension

staticconstexpr

mydimension [2/2]

int Dune::AlbertaGridGeometry< mydim, cdim, const AlbertaGrid< dim, cdim > >::mydimension

staticconstexpr

---

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

• albertagrid/geometry.hh