dune-geometry
2.2.1
|
generic implementation of a DUNE (global) 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. | |
typedef Mapping::JacobianInverseTransposed | Jacobian |
Type used for Jacobian matrices. | |
typedef Jacobian | JacobianInverseTransposed |
Public Member Functions | |
Geometry () | |
template<class CoordVector > | |
Geometry (const unsigned int topologyId, const CoordVector &coords) | |
template<class CoordVector > | |
Geometry (const unsigned int topologyId, const CoordVector &coords, const bool affine) | |
template<class Geo > | |
Geometry (const Geo &geo) | |
Copy constructor from another geometry. | |
template<class CoordVector > | |
Geometry (const GeometryType &type, const CoordVector &coords) | |
Constructor with a GeometryType and a set of coordinates. | |
template<int fatherdim> | |
Geometry (const Geometry< fatherdim, cdim, Grid > &father, int i) | |
operator bool () const | |
bool cast | |
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. | |
LocalCoordinate | local (const GlobalCoordinate &global) const |
Map global to local 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. |
Protected Types | |
typedef Base::Mapping | Mapping |
generic implementation of a DUNE (global) geometry
Geometry inherits all its features from BasicGeometry. It only adds GlobalGeometryTraits< Grid > as Traits parameter to the template parameter list.
mydim | Dimension of the entity |
cdim | Dimension of the coordinate space |
Grid | The grid this geometry will be used in |
|
inherited |
Type used for coordinate components.
|
inherited |
Type used for world coordinates.
|
inherited |
Type used for Jacobian matrices.
|
inherited |
|
inherited |
Type used for Jacobian matrices.
|
inherited |
Type used for parameter coordinates.
|
protected |
|
inline |
|
inline |
|
inline |
|
inlineexplicit |
Copy constructor from another geometry.
|
inline |
Constructor with a GeometryType and a set of coordinates.
|
inline |
|
inlineinherited |
Return true if this is an affine geometry.
|
inlineinherited |
return center of element
|
inlineinherited |
Return the world coordinates of the i-th corner.
|
inlineinherited |
Return the number of corners.
|
inlineinherited |
Map local to global coordinates.
|
inlineinherited |
Return the factor $|det F|$ that appears in the integral transformation formula.
|
inlineinherited |
Compute the transpose of the inverse Jacobian matrix of the transformation from the reference element into the world space.
|
inlineinherited |
Compute the transpose of the Jacobian matrix of the transformation from the reference element into the world space.
|
inlineinherited |
Map global to local coordinates.
|
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.
|
inlineinherited |
Return the topological type of this geometry.
|
inlineinherited |
Return the volume of the element.
|
staticinherited |
The dimension of the world space of this geometry.
|
staticinherited |
The dimension of the parameter space of this geometry.