Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner Class Reference

A class implementing a matrix \( K \in \R^{n\times m}\) mapping a subset of \( m \) global degrees of freedom (those given by globalIndices()) to \( n \) local degrees of freedom (shape functions). More...

#include <lagrangespace.hh>

Detailed Description

template<class ScalarType, class GV, bool restricted = false>
class Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner

A class implementing a matrix \( K \in \R^{n\times m}\) mapping a subset of \( m \) global degrees of freedom (those given by globalIndices()) to \( n \) local degrees of freedom (shape functions).

For Lagrange elements, this usually realizes just the identity. We also support the case that there are no degrees of freedom associated to a cell, i.e. \( m=0 \), see ContinuousLagrangeMapperSubdomain.

Definition at line 174 of file lagrangespace.hh.

Public Member Functions
template<class GlobalIndices >
	Combiner (GlobalIndices const &globalIndices, ShapeFunctionSet const &sfs)
template<class Matrix >
void	rightTransform (Matrix &A) const
	In-place computation of \( A \leftarrow A K \). Since \( K \) is the identity, this is a no-op. More...
template<int d, int k>
void	rightTransform (std::vector< VariationalArg< Scalar, d, k > > &v) const
	In-place computation of row vectors \( v \leftarrow v K \). More...
template<class Matrix >
void	leftPseudoInverse (Matrix &A) const
	In-place computation of \( A \leftarrow K^+ A \). More...
	operator Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > () const

Constructor & Destructor Documentation

Combiner()

template<class ScalarType , class GV , bool restricted = false>

template<class GlobalIndices >

Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner::Combiner ( GlobalIndices const &  globalIndices, ShapeFunctionSet const &  sfs  )

inline

Definition at line 178 of file lagrangespace.hh.

Member Function Documentation

leftPseudoInverse()

template<class ScalarType , class GV , bool restricted = false>

template<class Matrix >

void Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner::leftPseudoInverse ( Matrix &  A ) const

inline

In-place computation of \( A \leftarrow K^+ A \).

Definition at line 211 of file lagrangespace.hh.

operator Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > >()

template<class ScalarType , class GV , bool restricted = false>

Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner::operator Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > ( ) const

inline

Implicit conversion to a sparse matrix. This is just the identity.

Definition at line 220 of file lagrangespace.hh.

rightTransform() [1/2]

template<class ScalarType , class GV , bool restricted = false>

template<class Matrix >

void Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner::rightTransform ( Matrix &  A ) const

inline

In-place computation of \( A \leftarrow A K \). Since \( K \) is the identity, this is a no-op.

Definition at line 193 of file lagrangespace.hh.

rightTransform() [2/2]

template<class ScalarType , class GV , bool restricted = false>

template<int d, int k>

void Kaskade::LagrangeMapperImplementation< ScalarType, GV, restricted >::Combiner::rightTransform ( std::vector< VariationalArg< Scalar, d, k > > &  v ) const

inline

In-place computation of row vectors \( v \leftarrow v K \).

Definition at line 202 of file lagrangespace.hh.

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

• lagrangespace.hh