dune-grid 2.10
Loading...
Searching...
No Matches
Public Types | Public Member Functions | Static Public Attributes | List of all members
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 >:
Inheritance graph

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
 

Public Member Functions

 AlbertaGridGeometry ()
 
template<class CoordReader >
 AlbertaGridGeometry (const CoordReader &coordReader)
 
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
 
template<class CoordReader >
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 = 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
mydimdimension of the element (0 <= dim <= 3)
cdimdimension of global coordinates
GridImpgrid 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 ( ) 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() [2/2]

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 ( ) 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() [2/2]

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

◆ local()

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

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
The documentation for this class was generated from the following files:
Legal Statements / Impressum   |  Hosted by TU Dresden & Uni Heidelberg  |  Generated by   doxygen 1.9.8