Kaskade::LocalTransfer< Space, CoarseningPolicy > Class Template Reference

Class that stores for a cell ("this entity" or "father") a local projection matrix. More...

#include <fetransfer.hh>

Detailed Description

template<class Space, class CoarseningPolicy = AdaptationCoarseningPolicy>
class Kaskade::LocalTransfer< Space, CoarseningPolicy >

Class that stores for a cell ("this entity" or "father") a local projection matrix.

That is, in LocalToGlobalMapperConcept terminology, the matrix

\[ R = \Phi^+ \Psi^{-1} D^{-1} \sum_{\textrm{leaf children } c} \Psi_c \Phi_c K_c. \]

Here, \( D \) is a diagonal matrix with \( D_{ii} \) equal to the number of leaf child cells contributing to interpolation node \( i \).

Note that this matrix maps global degrees of freedom (i.e. global ansatz function coefficients) to local shape function coefficients on the father cell.

If this is a leaf cell, this reduces to \( R = K \).

Template Parameters

Space	a finite element space
CoarseningPolicy	DOCME

Definition at line 321 of file fetransfer.hh.

Public Types
typedef Space::Grid	Grid
typedef Space::IndexSet	IndexSet
typedef Space::Scalar	Scalar
typedef Grid::GlobalIdSet::IdType	Id
typedef Dune::FieldVector< Scalar, Space::sfComponents >	SfValue
using	Cell = Kaskade::Cell< Grid >
typedef DynamicMatrix< Dune::FieldMatrix< Scalar, 1, 1 > >	LocalTransferMatrix

Public Member Functions
	LocalTransfer ()=default
	default constructor leaves the object in a valid but undefined state. More...
	LocalTransfer (LocalTransfer &&other)
	move constructor More...
LocalTransfer< Space, CoarseningPolicy > &	operator= (LocalTransfer &&other)
	move assignment More...
	LocalTransfer (LocalTransfer const &other)=default
	copy constructor More...
	LocalTransfer (Space const &space, Cell father, CoarseningPolicy const &relevancePolicy=CoarseningPolicy())
	constructor More...

Public Attributes
std::vector< size_t >	globalIndices
LocalTransferMatrix	restrictionMatrix
ShapeFunctionSet const *	shapeFunctionSet

Member Typedef Documentation

Cell

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

using Kaskade::LocalTransfer< Space, CoarseningPolicy >::Cell = Kaskade::Cell<Grid>

Definition at line 329 of file fetransfer.hh.

Grid

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef Space::Grid Kaskade::LocalTransfer< Space, CoarseningPolicy >::Grid

Definition at line 324 of file fetransfer.hh.

Id

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef Grid::GlobalIdSet::IdType Kaskade::LocalTransfer< Space, CoarseningPolicy >::Id

Definition at line 327 of file fetransfer.hh.

IndexSet

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef Space::IndexSet Kaskade::LocalTransfer< Space, CoarseningPolicy >::IndexSet

Definition at line 325 of file fetransfer.hh.

LocalTransferMatrix

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef DynamicMatrix<Dune::FieldMatrix<Scalar,1,1> > Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransferMatrix

Definition at line 331 of file fetransfer.hh.

Scalar

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef Space::Scalar Kaskade::LocalTransfer< Space, CoarseningPolicy >::Scalar

Definition at line 326 of file fetransfer.hh.

SfValue

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

typedef Dune::FieldVector<Scalar,Space::sfComponents> Kaskade::LocalTransfer< Space, CoarseningPolicy >::SfValue

Definition at line 328 of file fetransfer.hh.

Constructor & Destructor Documentation

LocalTransfer() [1/4]

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer ( )

default

default constructor leaves the object in a valid but undefined state.

A default constructed object must be moved to or assigned to.

LocalTransfer() [2/4]

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer ( LocalTransfer< Space, CoarseningPolicy > &&  other )

inline

move constructor

Definition at line 348 of file fetransfer.hh.

LocalTransfer() [3/4]

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer ( LocalTransfer< Space, CoarseningPolicy > const &  other )

default

copy constructor

LocalTransfer() [4/4]

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer ( Space const &  space, Cell  father, CoarseningPolicy const &  relevancePolicy = CoarseningPolicy()  )

inline

constructor

Parameters

Space	a finite element space
relevancePolicy	determines from which children the projection to a father cell shall be done

Definition at line 377 of file fetransfer.hh.

Member Function Documentation

operator=()

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

LocalTransfer< Space, CoarseningPolicy > & Kaskade::LocalTransfer< Space, CoarseningPolicy >::operator= ( LocalTransfer< Space, CoarseningPolicy > &&  other )

inline

move assignment

Definition at line 358 of file fetransfer.hh.

Member Data Documentation

globalIndices

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

std::vector<size_t> Kaskade::LocalTransfer< Space, CoarseningPolicy >::globalIndices

Definition at line 505 of file fetransfer.hh.

Referenced by Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer(), and Kaskade::LocalTransfer< Space, CoarseningPolicy >::operator=().

restrictionMatrix

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

LocalTransferMatrix Kaskade::LocalTransfer< Space, CoarseningPolicy >::restrictionMatrix

Definition at line 506 of file fetransfer.hh.

Referenced by Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer(), and Kaskade::LocalTransfer< Space, CoarseningPolicy >::operator=().

shapeFunctionSet

template<class Space , class CoarseningPolicy = AdaptationCoarseningPolicy>

ShapeFunctionSet const* Kaskade::LocalTransfer< Space, CoarseningPolicy >::shapeFunctionSet

Definition at line 507 of file fetransfer.hh.

Referenced by Kaskade::LocalTransfer< Space, CoarseningPolicy >::LocalTransfer(), and Kaskade::LocalTransfer< Space, CoarseningPolicy >::operator=().

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

• fetransfer.hh