Dune Core Modules (2.6.0)
multilineargeometry.hh
212 static const bool hasSingleGeometryType = Traits::template hasSingleGeometryType< mydimension >::v;
216 typedef typename std::conditional< hasSingleGeometryType, std::integral_constant< unsigned int, Traits::template hasSingleGeometryType< mydimension >::topologyId >, unsigned int >::type TopologyId;
259 Dune::GeometryType type () const { return GeometryType( toUnsignedInt(topologyId()), mydimension ); }
286 global< false >( topologyId(), std::integral_constant< int, mydimension >(), cit, ctype( 1 ), local, ctype( 1 ), y );
311 MatrixHelper::template xTRightInvA< mydimension, coorddimension >( jacobianTransposed( x ), dglobal, dx );
333 return MatrixHelper::template sqrtDetAAT< mydimension, coorddimension >( jacobianTransposed( local ) );
364 jacobianTransposed< false >( topologyId(), std::integral_constant< int, mydimension >(), cit, ctype( 1 ), local, ctype( 1 ), jt );
412 static bool affine ( TopologyId topologyId, std::integral_constant< int, dim >, CornerIterator &cit, JacobianTransposed &jt );
414 static bool affine ( TopologyId topologyId, std::integral_constant< int, 0 >, CornerIterator &cit, JacobianTransposed &jt );
432 unsigned int topologyId ( std::integral_constant< bool, false > ) const { return refElement().type().id(); }
452 detInv_ = MatrixHelper::template rightInvA< mydimension, coorddimension >( jt, static_cast< Base & >( *this ) );
506 CachedMultiLinearGeometry ( const ReferenceElement &referenceElement, const CornerStorage &cornerStorage )
567 MatrixHelper::template xTRightInvA< mydimension, coorddimension >( jacobianTransposed_, global - corner( 0 ), local );
671 MultiLinearGeometry< ct, mydim, cdim, Traits >::jacobianInverseTransposed ( const LocalCoordinate &local ) const
740 jacobianTransposed< add >( topologyId, std::integral_constant< int, dim-1 >(), cit2, df, x, rf*cxn, jt );
742 jacobianTransposed< true >( topologyId, std::integral_constant< int, dim-1 >(), cit2, df, x, rf*xn, jt );
744 global< add >( topologyId, std::integral_constant< int, dim-1 >(), cit, df, x, -rf, jt[ dim-1 ] );
745 global< true >( topologyId, std::integral_constant< int, dim-1 >(), cit, df, x, rf, jt[ dim-1 ] );
791 ctype dfcxn = (cxn > Traits::tolerance() || cxn < -Traits::tolerance()) ? ctype(df / cxn) : ctype(0);
796 global< add >( topologyId, std::integral_constant< int, dim-1 >(), cit, dfcxn, x, -rf, jt[ dim-1 ] );
805 jacobianTransposed< false >( topologyId, std::integral_constant< int, dim-1 >(), cit2, dfcxn, x, rf, jt2 );
818 jacobianTransposed< false >( topologyId, std::integral_constant< int, dim-1 >(), cit2, dfcxn, x, rf, jt );
841 ::affine ( TopologyId topologyId, std::integral_constant< int, dim >, CornerIterator &cit, JacobianTransposed &jt )
870 ::affine ( TopologyId topologyId, std::integral_constant< int, 0 >, CornerIterator &cit, JacobianTransposed &jt )
An implementation of the Geometry interface for affine geometries.
Implement a MultiLinearGeometry with additional caching.
Definition: multilineargeometry.hh:484
GlobalCoordinate global(const LocalCoordinate &local) const
evaluate the mapping
Definition: multilineargeometry.hh:535
bool affine() const
is this mapping affine?
Definition: multilineargeometry.hh:522
JacobianTransposed jacobianTransposed(const LocalCoordinate &local) const
obtain the transposed of the Jacobian
Definition: multilineargeometry.hh:621
GlobalCoordinate corner(int i) const
obtain coordinates of the i-th corner
Definition: multilineargeometry.hh:265
ctype volume() const
obtain the volume of the mapping's image
Definition: multilineargeometry.hh:604
ctype integrationElement(const LocalCoordinate &local) const
obtain the integration element
Definition: multilineargeometry.hh:588
GlobalCoordinate center() const
obtain the centroid of the mapping's image
Definition: multilineargeometry.hh:527
JacobianInverseTransposed jacobianInverseTransposed(const LocalCoordinate &local) const
obtain the transposed of the Jacobian's inverse
Definition: multilineargeometry.hh:635
FieldTraits< value_type >::real_type two_norm2() const
square of two norm (sum over squared values of entries), need for block recursion
Definition: densevector.hh:599
Unique label for each type of entities that can occur in DUNE grids.
Definition: type.hh:277
generic geometry implementation based on corner coordinates
Definition: multilineargeometry.hh:179
static const int mydimension
geometry dimension
Definition: multilineargeometry.hh:187
Dune::GeometryType type() const
obtain the name of the reference element
Definition: multilineargeometry.hh:259
FieldVector< ctype, coorddimension > GlobalCoordinate
type of global coordinates
Definition: multilineargeometry.hh:194
JacobianTransposed jacobianTransposed(const LocalCoordinate &local) const
obtain the transposed of the Jacobian
Definition: multilineargeometry.hh:358
GlobalCoordinate global(const LocalCoordinate &local) const
evaluate the mapping
Definition: multilineargeometry.hh:280
GlobalCoordinate center() const
obtain the centroid of the mapping's image
Definition: multilineargeometry.hh:272
GlobalCoordinate corner(int i) const
obtain coordinates of the i-th corner
Definition: multilineargeometry.hh:265
static const int coorddimension
coordinate dimension
Definition: multilineargeometry.hh:189
int corners() const
obtain number of corners of the corresponding reference element
Definition: multilineargeometry.hh:262
FieldVector< ctype, mydimension > LocalCoordinate
type of local coordinates
Definition: multilineargeometry.hh:192
ctype volume() const
obtain the volume of the mapping's image
Definition: multilineargeometry.hh:344
MultiLinearGeometry(const ReferenceElement &refElement, const Corners &corners)
constructor
Definition: multilineargeometry.hh:229
MultiLinearGeometry(Dune::GeometryType gt, const Corners &corners)
constructor
Definition: multilineargeometry.hh:245
ctype integrationElement(const LocalCoordinate &local) const
obtain the integration element
Definition: multilineargeometry.hh:331
FieldMatrix< ctype, mydimension, coorddimension > JacobianTransposed
type of jacobian transposed
Definition: multilineargeometry.hh:197
ReferenceElements::ReferenceElement ReferenceElement
type of reference element
Definition: multilineargeometry.hh:209
JacobianInverseTransposed jacobianInverseTransposed(const LocalCoordinate &local) const
obtain the transposed of the Jacobian's inverse
Definition: multilineargeometry.hh:671
bool affine() const
is this mapping affine?
Definition: multilineargeometry.hh:252
Implements a matrix constructed from a given type representing a field and compile-time given number ...
Implements a vector constructed from a given type representing a field and a compile-time given size.
bool gt(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first greater than second
Definition: float_cmp.cc:147
unspecified value type referenceElement(T &&... t)
Returns a reference element for the objects t....
unspecified-type ReferenceElement
Returns the type of reference element for the argument type T.
Definition: referenceelements.hh:495
Class providing access to the singletons of the reference elements.
Definition: referenceelements.hh:168
typename Container::ReferenceElement ReferenceElement
The reference element type.
Definition: referenceelements.hh:186
template specifying the storage for the corners
Definition: multilineargeometry.hh:127
will there be only one geometry type for a dimension?
Definition: multilineargeometry.hh:146
default traits class for MultiLinearGeometry
Definition: multilineargeometry.hh:37
Impl::FieldMatrixHelper< ct > MatrixHelper
helper structure containing some matrix routines
Definition: multilineargeometry.hh:56
static ct tolerance()
tolerance to numerical algorithms
Definition: multilineargeometry.hh:59
A unique label for each type of element that can occur in a grid.
Traits for type conversions and type information.
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