3 #ifndef DUNE_GEOMETRY_AFFINEGEOMETRY_HH
4 #define DUNE_GEOMETRY_AFFINEGEOMETRY_HH
11 #include <dune/common/fmatrix.hh>
12 #include <dune/common/fvector.hh>
24 template<
class ctype,
int dim >
27 template<
class ctype,
int dim >
37 template<
class ct,
int mydim,
int cdim>
74 AffineGeometry (
const ReferenceElement &refElement,
const GlobalCoordinate &origin,
75 const JacobianTransposed &jt )
76 : refElement_(&refElement), origin_(origin), jacobianTransposed_(jt)
78 integrationElement_ = MatrixHelper::template rightInvA< mydimension, coorddimension >( jacobianTransposed_, jacobianInverseTransposed_ );
83 const JacobianTransposed &jt )
84 : refElement_( &ReferenceElements::general( gt ) ), origin_(origin), jacobianTransposed_( jt )
86 integrationElement_ = MatrixHelper::template rightInvA< mydimension, coorddimension >( jacobianTransposed_, jacobianInverseTransposed_ );
90 template<
class CoordVector >
91 AffineGeometry (
const ReferenceElement &refElement,
const CoordVector &coordVector )
92 : refElement_(&refElement), origin_(coordVector[0])
95 jacobianTransposed_[ i ] = coordVector[ i+1 ] - origin_;
96 integrationElement_ = MatrixHelper::template rightInvA< mydimension, coorddimension >( jacobianTransposed_, jacobianInverseTransposed_ );
100 template<
class CoordVector >
102 : refElement_(&ReferenceElements::general( gt )), origin_(coordVector[0] )
105 jacobianTransposed_[ i ] = coordVector[ i+1 ] - origin_;
106 integrationElement_ = MatrixHelper::template rightInvA< mydimension, coorddimension >( jacobianTransposed_, jacobianInverseTransposed_ );
135 GlobalCoordinate
global( origin_ );
136 jacobianTransposed_.umtv( local, global );
155 LocalCoordinate
local;
156 jacobianInverseTransposed_.mtv( global - origin_, local );
172 DUNE_UNUSED_PARAMETER(local);
173 return integrationElement_;
179 return integrationElement_ * refElement_->
volume();
190 DUNE_UNUSED_PARAMETER(local);
191 return jacobianTransposed_;
202 DUNE_UNUSED_PARAMETER(local);
203 return jacobianInverseTransposed_;
207 const ReferenceElement* refElement_;
208 GlobalCoordinate origin_;
209 JacobianTransposed jacobianTransposed_;
210 JacobianInverseTransposed jacobianInverseTransposed_;
211 ctype integrationElement_;
217 #endif // #ifndef DUNE_GEOMETRY_AFFINEGEOMETRY_HH
ctype integrationElement(const LocalCoordinate &local) const
Obtain the integration element.
Definition: affinegeometry.hh:170
int size(int c) const
number of subentities of codimension c
Definition: referenceelements.hh:82
bool affine() const
Always true: this is an affine geometry.
Definition: affinegeometry.hh:110
Definition: affinegeometry.hh:18
Class providing access to the singletons of the reference elements.
Definition: affinegeometry.hh:28
LocalCoordinate local(const GlobalCoordinate &global) const
Evaluate the inverse mapping.
Definition: affinegeometry.hh:153
AffineGeometry(Dune::GeometryType gt, const GlobalCoordinate &origin, const JacobianTransposed &jt)
Create affine geometry from GeometryType, one vertex, and the Jacobian matrix.
Definition: affinegeometry.hh:82
ctype volume() const
Obtain the volume of the element.
Definition: affinegeometry.hh:177
const JacobianInverseTransposed & jacobianInverseTransposed(const LocalCoordinate &local) const
Obtain the transposed of the Jacobian's inverse.
Definition: affinegeometry.hh:200
AffineGeometry(const ReferenceElement &refElement, const CoordVector &coordVector)
Create affine geometry from reference element and a vector of vertex coordinates. ...
Definition: affinegeometry.hh:91
const JacobianTransposed & jacobianTransposed(const LocalCoordinate &local) const
Obtain the transposed of the Jacobian.
Definition: affinegeometry.hh:188
ct ctype
Type used for coordinates.
Definition: affinegeometry.hh:43
Implementation of the Geometry interface for affine geometries.
Definition: affinegeometry.hh:38
Definition: matrixhelper.hh:32
int corners() const
Obtain number of corners of the corresponding reference element.
Definition: affinegeometry.hh:116
This class provides access to geometric and topological properties of a reference element...
Definition: affinegeometry.hh:25
AffineGeometry(Dune::GeometryType gt, const CoordVector &coordVector)
Create affine geometry from GeometryType and a vector of vertex coordinates.
Definition: affinegeometry.hh:101
Dune::GeometryType type() const
Obtain the type of the reference element.
Definition: affinegeometry.hh:113
static const int mydimension
Dimension of the geometry.
Definition: affinegeometry.hh:46
FieldVector< ctype, coorddimension > GlobalCoordinate
Type for coordinate vector in world space.
Definition: affinegeometry.hh:55
static const int coorddimension
Dimension of the world space.
Definition: affinegeometry.hh:49
FieldVector< ctype, mydimension > LocalCoordinate
Type for local coordinate vector.
Definition: affinegeometry.hh:52
A unique label for each type of element that can occur in a grid.
GlobalCoordinate global(const LocalCoordinate &local) const
Evaluate the mapping.
Definition: affinegeometry.hh:133
const FieldVector< ctype, dim > & position(int i, int c) const
position of the barycenter of entity (i,c)
Definition: referenceelements.hh:150
GlobalCoordinate center() const
Obtain the centroid of the mapping's image.
Definition: affinegeometry.hh:125
Unique label for each type of entities that can occur in DUNE grids.
Definition: type.hh:24
GlobalCoordinate corner(int i) const
Obtain coordinates of the i-th corner.
Definition: affinegeometry.hh:119
ctype volume() const
obtain the volume of the reference element
Definition: referenceelements.hh:210
const GeometryType & type(int i, int c) const
obtain the type of subentity (i,c)
Definition: referenceelements.hh:132
FieldMatrix< ctype, mydimension, coorddimension > JacobianTransposed
Type for the transposed Jacobian matrix.
Definition: affinegeometry.hh:58
AffineGeometry(const ReferenceElement &refElement, const GlobalCoordinate &origin, const JacobianTransposed &jt)
Create affine geometry from reference element, one vertex, and the Jacobian matrix.
Definition: affinegeometry.hh:74
FieldMatrix< ctype, coorddimension, mydimension > JacobianInverseTransposed
Type for the transposed inverse Jacobian matrix.
Definition: affinegeometry.hh:61