Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement > Class Template Reference

#include <blockDiagonalSchurPreconditioner.hh>

Detailed Description

template<class Operator, template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>
class Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >

Preconditioner à la Pearson/Wathen '10

based on an approximation of the schur complement mesh independent and independent of the Tikhonov regularization parameter

Definition at line 356 of file blockDiagonalSchurPreconditioner.hh.

Inheritance diagram for Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >:

Public Types
typedef Operator::Scalar	Scalar
typedef Operator::Domain	Domain
typedef Operator::Range	Range

Public Member Functions
	BlockDiagonalSchurPreconditioner (Operator const &A_, Scalar alpha_, bool symmetricK=false, bool symmetricM=false)
virtual	~BlockDiagonalSchurPreconditioner ()
virtual void	apply (Domain &x, Range const &y)
virtual void	pre (Domain &, Range &)
virtual void	post (Domain &)

Static Public Attributes
static int const	category = Dune::SolverCategory::sequential

Member Typedef Documentation

Domain

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

typedef Operator::Domain Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::Domain

Definition at line 365 of file blockDiagonalSchurPreconditioner.hh.

Range

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

typedef Operator::Range Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::Range

Definition at line 366 of file blockDiagonalSchurPreconditioner.hh.

Scalar

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

typedef Operator::Scalar Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::Scalar

Definition at line 364 of file blockDiagonalSchurPreconditioner.hh.

Constructor & Destructor Documentation

BlockDiagonalSchurPreconditioner()

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::BlockDiagonalSchurPreconditioner ( Operator const &  A_, Scalar  alpha_, bool  symmetricK = false, bool  symmetricM = false  )

inlineexplicit

Definition at line 370 of file blockDiagonalSchurPreconditioner.hh.

~BlockDiagonalSchurPreconditioner()

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

virtual Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::~BlockDiagonalSchurPreconditioner ( )

inlinevirtual

Definition at line 375 of file blockDiagonalSchurPreconditioner.hh.

Member Function Documentation

apply()

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

virtual void Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::apply ( Domain &  x, Range const &  y  )

inlinevirtual

Definition at line 377 of file blockDiagonalSchurPreconditioner.hh.

post()

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

virtual void Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::post ( Domain &  )

inlinevirtual

Definition at line 400 of file blockDiagonalSchurPreconditioner.hh.

pre()

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

virtual void Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::pre ( Domain &  , Range &    )

inlinevirtual

Definition at line 399 of file blockDiagonalSchurPreconditioner.hh.

Member Data Documentation

category

template<class Operator , template< class, class, class, class, class, class > class SchurComplement = ApproximateSchurComplement, class BlockK = IstlInterfaceDetail::BlockInfo<2,3,0,1>, class BlockM = IstlInterfaceDetail::BlockInfo<0,1,0,1>, class LinearSolver = SchurPreconditionerDetail::ApplyDirectSolver<typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Domain, typename SchurPreconditionerDetail::ExtractDomainAndRange<Operator,BlockM>::Range>, class LinearSolver_SchurComplement = LinearSolver>

int const Kaskade::BlockDiagonalSchurPreconditioner< Operator, SchurComplement, BlockK, BlockM, LinearSolver, LinearSolver_SchurComplement >::category = Dune::SolverCategory::sequential

static

Definition at line 368 of file blockDiagonalSchurPreconditioner.hh.

---

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

• blockDiagonalSchurPreconditioner.hh