Preconditioner that applies the inverse of an operator's Hessian. More...

#include <hessian_precond.hpp>

Inheritance diagram for FEAT::Solver::HessianPrecond< Operator_, Filter_ >:

Public Types
typedef Filter_	FilterType
	Type of the filter. More...

typedef Operator_::VectorType	VectorType
	Floating point data type. More...

Public Member Functions
virtual Status	apply (Vector_ &vec_cor, const Vector_ &vec_def)=0
	Solver application method. More...

virtual Status	apply (VectorType &vec_cor, const VectorType &vec_def) override=0
	Applies the preconditioner. More...

virtual void	done ()
	Finalization method. More...

virtual void	done_numeric ()
	Numeric finalization method. More...

virtual void	done_symbolic ()
	Symbolic finalization method. More...

virtual String	info () const
	Returns information. More...

virtual void	init ()
	Initialization method. More...

virtual void	init_numeric ()
	Numeric initialization method. More...

virtual void	init_symbolic ()
	Symbolic initialization method. More...

virtual String	name () const override=0
	Returns a descriptive String. More...

virtual void	prepare (const VectorType &vec_state, FilterType &filter)=0
	Prepares the preconditioner for application. More...

Detailed Description

template<typename Operator_, typename Filter_>
class FEAT::Solver::HessianPrecond< Operator_, Filter_ >

Preconditioner that applies the inverse of an operator's Hessian.

Template Parameters

Operator_	The operater whose Hessian is used.
Filter_	The filter for the preconditioner.

See also: Solver::NLOptPrecond

Note that only specializations in Operator_ are implemented at the moment.

Author: Jordi Paul

Definition at line 36 of file hessian_precond.hpp.

Member Typedef Documentation

◆ FilterType

typedef Filter_ FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::FilterType

inherited

Type of the filter.

Definition at line 38 of file nlopt_precond.hpp.

◆ VectorType

typedef Operator_::VectorType FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::VectorType

inherited

Floating point data type.

Definition at line 36 of file nlopt_precond.hpp.

Member Function Documentation

◆ apply() [1/2]

template<typename Vector_ >

virtual Status FEAT::Solver::SolverBase< Vector_ >::apply	(	Vector_ &	vec_cor,
		const Vector_ &	vec_def
	)

pure virtualinherited

Solver application method.

This method applies the solver represented by this object onto a given defect vector and returns the corresponding correction vector.

Note: Solvers which derive from the IterativeSolver base class also provide a correct() method which corrects an initial solution instead of starting with the null vector.

Parameters

[out]	vec_cor	The vector that shall receive the solution of the linear system. It is assumed to be allocated, but its numerical contents may be undefined upon calling this method.
[in]	vec_def	The vector that represents the right-hand-side of the linear system to be solved.

Attention: vec_cor and vec_def must not refer to the same vector object!

Returns: A Status code that represents the status of the solution step.

Implemented in FEAT::Solver::SchwarzPrecond< Global::Vector< LocalVector_, Mirror_ >, Global::Filter< LocalFilter_, Mirror_ > >, FEAT::Solver::CuSolverLU, FEAT::Solver::CuSolverQR, FEAT::Solver::ScalePrecond< Vector_, Filter_ >, FEAT::Solver::DiagonalPrecond< Vector_, Filter_ >, FEAT::Solver::MultiGrid< SystemMatrix_, SystemFilter_, TransferOperator_ >, FEAT::Solver::NLOptPrecond< VectorType_, FilterType_ >, FEAT::Solver::AmaVanka< Matrix_, Filter_ >, FEAT::Solver::ConvertPrecond< VectorOuter_, VectorInner_ >, FEAT::Solver::ConvertPrecond< Global::Vector< LocalVectorOuter_, MirrorOuter_ >, Global::Vector< LocalVectorInner_, MirrorInner_ > >, and FEAT::Solver::BFBT< MatrixA_, MatrixB_, MatrixD_, FilterV_, FilterP_ >.

Referenced by FEAT::Solver::solve().

◆ apply() [2/2]

virtual Status FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::apply	(	VectorType &	vec_cor,
		const VectorType &	vec_def
	)

overridepure virtualinherited

Applies the preconditioner.

Parameters

[in,out]	vec_cor	This holds the initial guess and will be overwritten by the solution.
[in]	vec_def	The right hand side the preconditioner is applied to.

Usually this will apply some kind of solver.

Returns: The Solver::Status of the application of the preconditioner.

◆ done()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::done ( )

inlinevirtualinherited

Finalization method.

This function performs both the symbolic and numeric finalization, i.e. it simply performs

this->done_numeric();
this->done_symbolic();

Definition at line 283 of file base.hpp.

References FEAT::Solver::SolverBase< Vector_ >::done_numeric(), and FEAT::Solver::SolverBase< Vector_ >::done_symbolic().

◆ done_numeric()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::done_numeric ( )

inlinevirtualinherited

Numeric finalization method.

This method is called to release any data allocated in the numeric initialization step.

Reimplemented in FEAT::Solver::BFBT< MatrixA_, MatrixB_, MatrixD_, FilterV_, FilterP_ >, FEAT::Solver::BFBT< Global::Matrix< MatrixA_, MirrorV_, MirrorV_ >, Global::Matrix< MatrixB_, MirrorV_, MirrorP_ >, Global::Matrix< MatrixD_, MirrorP_, MirrorV_ >, Global::Filter< FilterV_, MirrorV_ >, Global::Filter< FilterP_, MirrorP_ > >, FEAT::Solver::ConvertPrecond< VectorOuter_, VectorInner_ >, FEAT::Solver::ConvertPrecond< Global::Vector< LocalVectorOuter_, MirrorOuter_ >, Global::Vector< LocalVectorInner_, MirrorInner_ > >, FEAT::Solver::CUDSS, FEAT::Solver::DirectStokesSolver< LAFEM::SaddlePointMatrix< MatrixA_, MatrixB_, MatrixD_ >, LAFEM::TupleFilter< FilterV_, FilterP_ > >, FEAT::Solver::DirectStokesSolver< Global::Matrix< LocalMatrix_, Mirror_, Mirror_ >, Global::Filter< LocalFilter_, Mirror_ > >, FEAT::Solver::ParaSailsPrecond< Matrix_, Filter_ >, FEAT::Solver::EuclidPrecond< Matrix_, Filter_ >, FEAT::Solver::BoomerAMG< Matrix_, Filter_ >, FEAT::Solver::PreconditionedIterativeSolver< Vector_ >, FEAT::Solver::PreconditionedIterativeSolver< Matrix_::VectorTypeR >, FEAT::Solver::PreconditionedIterativeSolver< Functional_::VectorTypeR >, FEAT::Solver::MKLDSS, FEAT::Solver::MultiGrid< SystemMatrix_, SystemFilter_, TransferOperator_ >, FEAT::Solver::PCGNR< Matrix_, Filter_ >, FEAT::Solver::SchwarzPrecond< Global::Vector< LocalVector_, Mirror_ >, Global::Filter< LocalFilter_, Mirror_ > >, FEAT::Solver::Umfpack, FEAT::Solver::UmfpackMean, FEAT::Solver::SaddleUmfpackMean< DT_, IT_, dim_ >, FEAT::Solver::GenericUmfpack< Matrix_ >, FEAT::Solver::UzawaPrecond< MatrixA_, MatrixB_, MatrixD_, FilterV_, FilterP_ >, and FEAT::Solver::UzawaPrecond< Global::Matrix< MatrixA_, MirrorV_, MirrorV_ >, Global::Matrix< MatrixB_, MirrorV_, MirrorP_ >, Global::Matrix< MatrixD_, MirrorP_, MirrorV_ >, Global::Filter< FilterV_, MirrorV_ >, Global::Filter< FilterP_, MirrorP_ > >.

Definition at line 246 of file base.hpp.

◆ done_symbolic()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::done_symbolic ( )

inlinevirtualinherited

Symbolic finalization method.

This method is called to release any data allocated in the symbolic initialization step.

Definition at line 255 of file base.hpp.

◆ info()

virtual String FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::info ( ) const

inlinevirtualinherited

Returns information.

Definition at line 92 of file nlopt_precond.hpp.

◆ init()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::init ( )

inlinevirtualinherited

Initialization method.

This function performs both the symbolic and numeric initialization, i.e. it simply performs

this->init_symbolic();
this->init_numeric();

Definition at line 268 of file base.hpp.

References FEAT::Solver::SolverBase< Vector_ >::init_numeric(), and FEAT::Solver::SolverBase< Vector_ >::init_symbolic().

◆ init_numeric()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::init_numeric ( )

inlinevirtualinherited

Numeric initialization method.

This method is called to perform numeric initialization of the solver.
Before this function can be called, the symbolic initialization must be performed.

Definition at line 237 of file base.hpp.

◆ init_symbolic()

template<typename Vector_ >

virtual void FEAT::Solver::SolverBase< Vector_ >::init_symbolic ( )

inlinevirtualinherited

Symbolic initialization method.

This method is called to perform symbolic initialization of the solver.

Definition at line 227 of file base.hpp.

◆ name()

virtual String FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::name ( ) const

overridepure virtualinherited

Returns a descriptive String.

Returns: The class name as String.

Implements FEAT::Solver::SolverBase< Vector_ >.

◆ prepare()

virtual void FEAT::Solver::NLOptPrecond< Operator_::VectorType , Filter_ >::prepare	(	const VectorType &	vec_state,
		FilterType &	filter
	)

pure virtualinherited

Prepares the preconditioner for application.

Parameters

[in]	vec_state	The state variable.
[in,out]	filter	The filter that in general will be assembled by this routine.

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

kernel/solver/hessian_precond.hpp

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ FilterType

◆ VectorType

Member Function Documentation

◆ apply() [1/2]

◆ apply() [2/2]

◆ done()

◆ done_numeric()

◆ done_symbolic()

◆ info()

◆ init()

◆ init_numeric()

◆ init_symbolic()

◆ name()

◆ prepare()