Kaskade::DiagonalCombiner< Scalar > Class Template Reference

A base class for implementing combiners with diagonal structure. More...

#include <combiner.hh>

Detailed Description

template<class Scalar = double>
class Kaskade::DiagonalCombiner< Scalar >

A base class for implementing combiners with diagonal structure.

Template Parameters

Scalar

a scalar field type, usually double.

This implements the Combiner concept: a matrix \( K \) mapping a subset of global degrees of freedom (those given by globalIndices()) to local degrees of freedom (shape functions).

In some finite element spaces, the matrix \( K \) is diagonal. This base class eases the implementation

Definition at line 35 of file combiner.hh.

Public Member Functions
	DiagonalCombiner (int n)
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

Protected Attributes
std::vector< Scalar >	orient

Constructor & Destructor Documentation

DiagonalCombiner()

template<class Scalar = double>

Kaskade::DiagonalCombiner< Scalar >::DiagonalCombiner ( int  n )

inline

Constructor.

Parameters

n	the number of shape functions on this cell

The matrix \( K \) is initialized to the identity. Derived classes shall overwrite the orient member storing the diagonal entries.

Definition at line 45 of file combiner.hh.

Member Function Documentation

leftPseudoInverse()

template<class Scalar = double>

template<class Matrix >

void Kaskade::DiagonalCombiner< Scalar >::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 78 of file combiner.hh.

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

template<class Scalar = double>

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

inline

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

Definition at line 89 of file combiner.hh.

rightTransform() [1/2]

template<class Scalar = double>

template<class Matrix >

void Kaskade::DiagonalCombiner< Scalar >::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 54 of file combiner.hh.

rightTransform() [2/2]

template<class Scalar = double>

template<int n, int m>

void Kaskade::DiagonalCombiner< Scalar >::rightTransform ( std::vector< VariationalArg< Scalar, n, m > > &  v ) const

inline

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

Definition at line 64 of file combiner.hh.

Member Data Documentation

orient

template<class Scalar = double>

std::vector<Scalar> Kaskade::DiagonalCombiner< Scalar >::orient

protected

Definition at line 106 of file combiner.hh.

Referenced by Kaskade::DiagonalCombiner< Scalar >::leftPseudoInverse(), Kaskade::DiagonalCombiner< Scalar >::operator Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > >(), and Kaskade::DiagonalCombiner< Scalar >::rightTransform().

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

• combiner.hh