Kaskade::HierarchicMapperImplementationBase< Scalar_, GV, restricted >::Combiner Class Reference

#include <hierarchicspace.hh>

Detailed Description

template<class Scalar_, class GV, bool restricted>
class Kaskade::HierarchicMapperImplementationBase< Scalar_, GV, restricted >::Combiner

A class implementing a matrix \( K \) mapping a subset of global degrees of freedom (those given by globalIndices()) to local degrees of freedom (shape functions).

For hierarchic elements, this realizes just a sign change, i.e. \( K \) is a diagonal matrix with entries +1 and -1.

Definition at line 138 of file hierarchicspace.hh.

Public Member Functions
	Combiner (GlobalIndices globalIndices, ShapeFunctionSet const &)
template<class Matrix >
void	rightTransform (Matrix &A) const
	In-place computation of \( A \leftarrow A K \). More...
template<int n, int m>
void	rightTransform (std::vector< VariationalArg< Scalar, n, m > > &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 Scalar_ , class GV , bool restricted>

Kaskade::HierarchicMapperImplementationBase< Scalar_, GV, restricted >::Combiner::Combiner ( GlobalIndices  globalIndices, ShapeFunctionSet const &    )

inline

Definition at line 143 of file hierarchicspace.hh.

Member Function Documentation

leftPseudoInverse()

template<class Scalar_ , class GV , bool restricted>

template<class Matrix >

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

inline

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

Template Parameters

Matrix

A matrix class satisfying the Dune::DenseMatrix interface.

Definition at line 177 of file hierarchicspace.hh.

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

template<class Scalar_ , class GV , bool restricted>

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

inline

Implicit conversion to a sparse matrix. This is just a signed permutation matrix.

Definition at line 187 of file hierarchicspace.hh.

rightTransform() [1/2]

template<class Scalar_ , class GV , bool restricted>

template<class Matrix >

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

inline

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

Template Parameters

Matrix

A matrix class satisfying the Dune::DenseMatrix interface.

Definition at line 152 of file hierarchicspace.hh.

rightTransform() [2/2]

template<class Scalar_ , class GV , bool restricted>

template<int n, int m>

void Kaskade::HierarchicMapperImplementationBase< Scalar_, GV, restricted >::Combiner::rightTransform ( std::vector< VariationalArg< Scalar, n, m > > &  v ) const

inline

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

Definition at line 162 of file hierarchicspace.hh.

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

• hierarchicspace.hh