KASKADE 7 development version: Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar > Class Template Reference

KASKADE 7 development version

An inverse local matrix representation that stores a sparse Cholesky factor using nested dissection. More...

#include <domainDecompositionPreconditioner.hh>

Detailed Description

template<int m, class StorageScalar, class FactorizationScalar>
class Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >

An inverse local matrix representation that stores a sparse Cholesky factor using nested dissection.

Definition at line 298 of file domainDecompositionPreconditioner.hh.

Inheritance diagram for Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >:

Public Types
using	field_type = StorageScalar

Public Member Functions
template<class T , class Index >
	NestedDissectionCholeskyLocalMatrixStorage (std::vector< size_t > const &ap, NumaBCRSMatrix< Dune::FieldMatrix< T, m, m >, Index > const &A, FactorizationScalar regularizeForCondition, NestedDissectionStorageTag< StorageScalar, FactorizationScalar > storageTag)

template<class Vector >
void	mv (Vector const &x, Vector &y) const

std::vector< size_t > const &	indices () const
	Returns the global degrees of freedom defining the submatrix treated as a block here. More...

size_t	storage () const
	Reports the storage size (in bytes) of the inverse block matrix. More...

size_t	flops () const
	Reports the number of floating point operations per preconditioner application. More...

Protected Member Functions
template<int m, class LocalMatrix , class Real >
void	regularize (LocalMatrix &aloc, Real r) const

Protected Attributes
size_t	storageSize

size_t	computeFlops

Member Typedef Documentation

◆ field_type

template<int m, class StorageScalar , class FactorizationScalar >

using Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::field_type = StorageScalar

Definition at line 301 of file domainDecompositionPreconditioner.hh.

Constructor & Destructor Documentation

◆ NestedDissectionCholeskyLocalMatrixStorage()

template<int m, class StorageScalar , class FactorizationScalar >

template<class T , class Index >

Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::NestedDissectionCholeskyLocalMatrixStorage	(	std::vector< size_t > const &	ap,
		NumaBCRSMatrix< Dune::FieldMatrix< T, m, m >, Index > const &	A,
		FactorizationScalar	regularizeForCondition,
		NestedDissectionStorageTag< StorageScalar, FactorizationScalar >	storageTag
	)

inline

Definition at line 304 of file domainDecompositionPreconditioner.hh.

Member Function Documentation

◆ flops()

size_t Kaskade::InverseLocalMatrixStorageBase::flops ( ) const

inlineinherited

Reports the number of floating point operations per preconditioner application.

This is a (rather accurate) estimate. Depending on BLAS implementation, lower order contributions may be inaccurate.

Definition at line 80 of file domainDecompositionPreconditioner.hh.

◆ indices()

std::vector< size_t > const & Kaskade::InverseLocalMatrixStorageBase::indices ( ) const

inlineinherited

Returns the global degrees of freedom defining the submatrix treated as a block here.

Definition at line 59 of file domainDecompositionPreconditioner.hh.

Referenced by Kaskade::DenseCholeskyLocalMatrixStorage< m, Scalar >::DenseCholeskyLocalMatrixStorage(), Kaskade::DenseInverseLocalMatrixStorage< m, Scalar >::DenseInverseLocalMatrixStorage(), and Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::NestedDissectionCholeskyLocalMatrixStorage().

◆ mv()

template<int m, class StorageScalar , class FactorizationScalar >

template<class Vector >

void Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::mv	(	Vector const &	x,
		Vector &	y
	)		const

inline

Template Parameters

Vector a vector class with entry type Dune::FieldVector<StorageScalar,m> (or compatible)

Definition at line 328 of file domainDecompositionPreconditioner.hh.

◆ regularize()

template<int m, class LocalMatrix , class Real >

void Kaskade::InverseLocalMatrixStorageBase::regularize	(	LocalMatrix &	aloc,
		Real	r
	)		const

inlineprotectedinherited

Definition at line 90 of file domainDecompositionPreconditioner.hh.

◆ storage()

size_t Kaskade::InverseLocalMatrixStorageBase::storage ( ) const

inlineinherited

Reports the storage size (in bytes) of the inverse block matrix.

Minor metadata that does not scale with the matrix size is neglected.

Definition at line 69 of file domainDecompositionPreconditioner.hh.

Member Data Documentation

◆ computeFlops

size_t Kaskade::InverseLocalMatrixStorageBase::computeFlops

protectedinherited

Definition at line 87 of file domainDecompositionPreconditioner.hh.

Referenced by Kaskade::DenseCholeskyLocalMatrixStorage< m, Scalar >::DenseCholeskyLocalMatrixStorage(), Kaskade::DenseInverseLocalMatrixStorage< m, Scalar >::DenseInverseLocalMatrixStorage(), Kaskade::InverseLocalMatrixStorageBase::flops(), and Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::NestedDissectionCholeskyLocalMatrixStorage().

◆ storageSize

size_t Kaskade::InverseLocalMatrixStorageBase::storageSize

protectedinherited

Definition at line 86 of file domainDecompositionPreconditioner.hh.

Referenced by Kaskade::DenseCholeskyLocalMatrixStorage< m, Scalar >::DenseCholeskyLocalMatrixStorage(), Kaskade::DenseInverseLocalMatrixStorage< m, Scalar >::DenseInverseLocalMatrixStorage(), Kaskade::NestedDissectionCholeskyLocalMatrixStorage< m, StorageScalar, FactorizationScalar >::NestedDissectionCholeskyLocalMatrixStorage(), and Kaskade::InverseLocalMatrixStorageBase::storage().

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

domainDecompositionPreconditioner.hh