Kaskade::AbstractNewtonDirection Class Reference

Class that models the functionality of a (possibly inexact) linear solver. More...

#include <abstract_interface.hh>

Detailed Description

Class that models the functionality of a (possibly inexact) linear solver.

Definition at line 270 of file abstract_interface.hh.

Inheritance diagram for Kaskade::AbstractNewtonDirection:

Public Member Functions
void	ordinary (AbstractFunctionSpaceElement &correction, AbstractLinearization &linearization)
void	simplified (AbstractFunctionSpaceElement &correction, AbstractLinearization const &linearization, AbstractLinearization const &oldlinearization) const
void	simplified (AbstractFunctionSpaceElement &correction, AbstractLinearization const &linearization) const
virtual void	setRelativeAccuracy (double accuracy)=0
	Specify accuracy that should be achieved. More...
virtual void	setAbsoluteAccuracy (double)
	Specify accuracy that should be achieved. More...
virtual double	getRelativeAccuracy ()=0
	Get accuracy that was actually achieved. More...
virtual double	getAbsoluteAccuracy ()=0
	Get accuracy that was actually achieved. More...
virtual bool	improvementPossible ()=0
virtual bool	changedGrid ()
virtual	~AbstractNewtonDirection ()
virtual void	doSolve (AbstractFunctionSpaceElement &correction, AbstractLinearization &lin)=0
	Solve Newton System: correction = +F'(iterate)^{-1}F(iterate) More...
virtual void	doResolve (AbstractFunctionSpaceElement &correction, AbstractLinearization const &lin, AbstractLinearization const &olin) const =0
	Solve simplified Newton system: scorrection = +F'(iterate)^{-1}F(trialIterate) More...
virtual void	doResolve (AbstractFunctionSpaceElement &correction, AbstractLinearization const &lin) const =0
	Solve simplified Newton system: scorrection = +F'(iterate)^{-1}F(trialIterate) More...

Public Attributes
boost::signals2::signal< void()>	changed

Constructor & Destructor Documentation

~AbstractNewtonDirection()

virtual Kaskade::AbstractNewtonDirection::~AbstractNewtonDirection ( )

inlinevirtual

Definition at line 305 of file abstract_interface.hh.

Member Function Documentation

changedGrid()

virtual bool Kaskade::AbstractNewtonDirection::changedGrid ( )

inlinevirtual

Reimplemented in Kaskade::SimpleAdaptiveRefinement.

Definition at line 303 of file abstract_interface.hh.

doResolve() [1/2]

virtual void Kaskade::AbstractNewtonDirection::doResolve ( AbstractFunctionSpaceElement &  correction, AbstractLinearization const &  lin  ) const

pure virtual

Solve simplified Newton system: scorrection = +F'(iterate)^{-1}F(trialIterate)

Implemented in Kaskade::SimpleAdaptiveRefinement.

doResolve() [2/2]

virtual void Kaskade::AbstractNewtonDirection::doResolve ( AbstractFunctionSpaceElement &  correction, AbstractLinearization const &  lin, AbstractLinearization const &  olin  ) const

pure virtual

Solve simplified Newton system: scorrection = +F'(iterate)^{-1}F(trialIterate)

Implemented in Kaskade::SimpleAdaptiveRefinement.

Referenced by Kaskade::SimpleAdaptiveRefinement::doResolve(), and simplified().

doSolve()

virtual void Kaskade::AbstractNewtonDirection::doSolve ( AbstractFunctionSpaceElement &  correction, AbstractLinearization &  lin  )

pure virtual

Solve Newton System: correction = +F'(iterate)^{-1}F(iterate)

Implemented in Kaskade::SimpleAdaptiveRefinement.

Referenced by ordinary().

getAbsoluteAccuracy()

virtual double Kaskade::AbstractNewtonDirection::getAbsoluteAccuracy ( )

pure virtual

Get accuracy that was actually achieved.

Implemented in Kaskade::SimpleAdaptiveRefinement.

getRelativeAccuracy()

virtual double Kaskade::AbstractNewtonDirection::getRelativeAccuracy ( )

pure virtual

Get accuracy that was actually achieved.

Implemented in Kaskade::SimpleAdaptiveRefinement.

improvementPossible()

virtual bool Kaskade::AbstractNewtonDirection::improvementPossible ( )

pure virtual

Implemented in Kaskade::SimpleAdaptiveRefinement.

ordinary()

void Kaskade::AbstractNewtonDirection::ordinary ( AbstractFunctionSpaceElement &  correction, AbstractLinearization &  linearization  )

inline

This method is not const, since the internal state of the solver may be modified Computes an undamped ordinary Newton step, i.e., \(correction=-F'(x)^{-1}F(x)\)

Definition at line 275 of file abstract_interface.hh.

Referenced by Kaskade::NewtonsMethod::getSearchDirection().

setAbsoluteAccuracy()

virtual void Kaskade::AbstractNewtonDirection::setAbsoluteAccuracy ( double  )

inlinevirtual

Specify accuracy that should be achieved.

Reimplemented in Kaskade::SimpleAdaptiveRefinement, and Kaskade::FinalAdaptiveRefinement.

Definition at line 295 of file abstract_interface.hh.

setRelativeAccuracy()

virtual void Kaskade::AbstractNewtonDirection::setRelativeAccuracy ( double  accuracy )

pure virtual

Specify accuracy that should be achieved.

Implemented in Kaskade::SimpleAdaptiveRefinement, and Kaskade::FinalAdaptiveRefinement.

simplified() [1/2]

void Kaskade::AbstractNewtonDirection::simplified ( AbstractFunctionSpaceElement &  correction, AbstractLinearization const &  linearization  ) const

inline

Computes an undamped simplified Newton step, i.e., correction=-F'(xold)^{-1}F(x) where F'(xold)^{-1} has been kept from an earlier ordinary() call

Definition at line 287 of file abstract_interface.hh.

simplified() [2/2]

void Kaskade::AbstractNewtonDirection::simplified ( AbstractFunctionSpaceElement &  correction, AbstractLinearization const &  linearization, AbstractLinearization const &  oldlinearization  ) const

inline

Computes an undamped simplified Newton step, i.e., correction=-F'(xold)^{-1}F(x)

Definition at line 280 of file abstract_interface.hh.

Referenced by Kaskade::NewtonsMethod::resolve().

Member Data Documentation

changed

boost::signals2::signal<void()> Kaskade::AbstractNewtonDirection::changed

mutable

Definition at line 319 of file abstract_interface.hh.

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

• abstract_interface.hh