Kaskade::HdivMapper< ScalarType, GV >::Combiner Class Reference

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). More...

#include <nedelecspace.hh>

Detailed Description

template<class ScalarType, class GV>
class Kaskade::HdivMapper< ScalarType, GV >::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 Hdiv conforming elements, this is a diagonal matrix with entries 1 or -1 depending on the global vs. local orientation of the faces.

Definition at line 369 of file nedelecspace.hh.

Inheritance diagram for Kaskade::HdivMapper< ScalarType, GV >::Combiner:

Public Member Functions
	Combiner (Cell const &cell, GridView const &gv, IndexSet const &is, size_t index, ShapeFunctionSet const &sfs)
void	rightTransform (Matrix &A) const
	In-place computation of \( A \leftarrow A K \). More...
void	rightTransform (std::vector< VariationalArg< Scalar, n, m > > &v) const
	In-place computation of row vectors \( v \leftarrow v K \). More...
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

Combiner()

template<class ScalarType , class GV >

Kaskade::HdivMapper< ScalarType, GV >::Combiner::Combiner ( Cell const &  cell, GridView const &  gv, IndexSet const &  is, size_t  index, ShapeFunctionSet const &  sfs  )

inline

Parameters

cell	the cell for which the combiner is to construct
gv	the grid view
is	the index set used for global orientation of edges by global vertex indices
index	the index of the current cell
sfs	the shape function set of the current cell

Definition at line 378 of file nedelecspace.hh.

Member Function Documentation

leftPseudoInverse()

void Kaskade::DiagonalCombiner< Scalar >::leftPseudoInverse ( Matrix &  A ) const

inlineinherited

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 > >()

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

inlineinherited

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

Definition at line 89 of file combiner.hh.

rightTransform() [1/2]

void Kaskade::DiagonalCombiner< Scalar >::rightTransform ( Matrix &  A ) const

inlineinherited

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]

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

inlineinherited

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

Definition at line 64 of file combiner.hh.

Member Data Documentation

orient

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

protectedinherited

Definition at line 106 of file combiner.hh.

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

• nedelecspace.hh