Base class for all continuation groups. More...

#include <LOCA_MultiContinuation_ExtendedGroup.H>

Inheritance diagram for LOCA::MultiContinuation::ExtendedGroup:

Collaboration diagram for LOCA::MultiContinuation::ExtendedGroup:

Public Member Functions
	ExtendedGroup (const ExtendedGroup &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~ExtendedGroup ()
	Destructor.

Implementation of NOX::Abstract::Group virtual methods
virtual NOX::Abstract::Group &	operator= (const NOX::Abstract::Group &source)
	Assignment operator.

virtual Teuchos::RCP < NOX::Abstract::Group >	clone (NOX::CopyType type=NOX::DeepCopy) const
	Cloning function.

virtual void	setX (const NOX::Abstract::Vector &y)
	Set the solution vector to y.

virtual void	computeX (const NOX::Abstract::Group &g, const NOX::Abstract::Vector &d, double step)
	Compute and return solution vector, x, where this.x = grp.x + step * d.

virtual NOX::Abstract::Group::ReturnType	computeF ()
	Compute extended continuation equations.

virtual NOX::Abstract::Group::ReturnType	computeJacobian ()
	Compute extended continuation jacobian.

virtual NOX::Abstract::Group::ReturnType	computeGradient ()
	Gradient is not defined for this system.

virtual NOX::Abstract::Group::ReturnType	computeNewton (Teuchos::ParameterList &params)
	Compute Newton direction for extended continuation system.

virtual NOX::Abstract::Group::ReturnType	applyJacobian (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian for extended system.

virtual NOX::Abstract::Group::ReturnType	applyJacobianTranspose (const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Jacobian transpose not defined for this system.

virtual NOX::Abstract::Group::ReturnType	applyJacobianInverse (Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Applies Jacobian inverse for extended system.

virtual NOX::Abstract::Group::ReturnType	applyJacobianMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Applies Jacobian for extended system.

virtual NOX::Abstract::Group::ReturnType	applyJacobianTransposeMultiVector (const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Jacobian transpose not defined for this system.

virtual NOX::Abstract::Group::ReturnType	applyJacobianInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	Applies Jacobian inverse for extended system.

virtual bool	isF () const
	Return `true` if extended residual is valid.

virtual bool	isJacobian () const
	Return `true` if the extended Jacobian is valid.

virtual bool	isGradient () const
	Always returns false.

virtual bool	isNewton () const
	Return `true` if the extended Newton direction is valid.

virtual const NOX::Abstract::Vector &	getX () const
	Return extended solution vector.

virtual const NOX::Abstract::Vector &	getF () const
	Return extended residual.

virtual double	getNormF () const
	Return 2-norm of extended residual.

virtual const NOX::Abstract::Vector &	getGradient () const
	Gradient is never valid.

virtual const NOX::Abstract::Vector &	getNewton () const
	Return extended Newton direction.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getXPtr () const
	Return extended solution vector.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getFPtr () const
	Return extended residual.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getGradientPtr () const
	Gradient is never valid.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getNewtonPtr () const
	Return extended Newton direction.

virtual double	getNormNewtonSolveResidual () const
	Returns 2-norm of extended Newton solve residual.

Implementation of LOCA::Extended::MultiAbstractGroup
virtual methods
virtual Teuchos::RCP< const LOCA::MultiContinuation::AbstractGroup >	getUnderlyingGroup () const
	Return underlying group.

virtual Teuchos::RCP < LOCA::MultiContinuation::AbstractGroup >	getUnderlyingGroup ()
	Return underlying group.

Implementation of LOCA::MultiContinuation::AbstractStrategy
virtual methods
virtual void	copy (const NOX::Abstract::Group &source)
	Assignment operator.

virtual int	getNumParams () const
	Returns number of parameters.

virtual void	preProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
	Perform any preprocessing before a continuation step starts. More...

virtual void	postProcessContinuationStep (LOCA::Abstract::Iterator::StepStatus stepStatus)
	Perform any postprocessing after a continuation step finishes. More...

virtual NOX::Abstract::Group::ReturnType	computePredictor ()
	Compute predictor directions.

virtual bool	isPredictor () const
	Is Predictor valid.

virtual void	scaleTangent ()
	Scales tangent to predictor.

virtual void	setPredictorTangentDirection (const LOCA::MultiContinuation::ExtendedVector &v, int i)
	Sets tangent to predictor. More...

virtual const LOCA::MultiContinuation::ExtendedMultiVector &	getPredictorTangent () const
	Returns tangent to predictor.

virtual const LOCA::MultiContinuation::ExtendedMultiVector &	getScaledPredictorTangent () const
	Returns scaled tangent to predictor.

virtual void	setPrevX (const NOX::Abstract::Vector &y)
	Set the previous solution vector y.

virtual const LOCA::MultiContinuation::ExtendedVector &	getPrevX () const
	Gets the previous solution vector.

virtual void	setStepSize (double deltaS, int i=0)
	Set step size for continuation constraint equation i.

virtual double	getStepSize (int i=0) const
	Get step size for continuation constraint equation i.

virtual void	setContinuationParameter (double val, int i=0)
	Sets the value for continuation parameter i.

virtual double	getContinuationParameter (int i=0) const
	Returns the value for continuation parameter i.

virtual int	getContinuationParameterID (int i=0) const
	Get the continuation parameter id for parameter i.

virtual const std::vector< int > &	getContinuationParameterIDs () const
	Get the continuation parameter ids.

virtual std::string	getContinuationParameterName (int i=0) const
	Get the continuation parameter id for parameter i.

virtual double	getStepSizeScaleFactor (int i=0) const
	Returns step size scale factor for constraint equation i.

virtual void	printSolution () const
	Prints the group.

virtual double	computeScaledDotProduct (const NOX::Abstract::Vector &x, const NOX::Abstract::Vector &y) const
	Computes a scaled dot product between two continuation vectors.

virtual int	projectToDrawDimension () const
	Returns dimension of project to draw array.

virtual void	projectToDraw (const LOCA::MultiContinuation::ExtendedVector &x, double *px) const
	Fills the project to draw array.

Implementation of
LOCA::BorderedSystem::AbstractGroup virtual methods
virtual int	getBorderedWidth () const
	Return the total width of the bordered rows/columns.

virtual Teuchos::RCP< const NOX::Abstract::Group >	getUnborderedGroup () const
	Get bottom-level unbordered group.

virtual bool	isCombinedAZero () const
	Indicates whether combined A block is zero.

virtual bool	isCombinedBZero () const
	Indicates whether combined B block is zero.

virtual bool	isCombinedCZero () const
	Indicates whether combined C block is zero.

virtual void	extractSolutionComponent (const NOX::Abstract::MultiVector &v, NOX::Abstract::MultiVector &v_x) const

virtual void	extractParameterComponent (bool use_transpose, const NOX::Abstract::MultiVector &v, NOX::Abstract::MultiVector::DenseMatrix &v_p) const

virtual void	loadNestedComponents (const NOX::Abstract::MultiVector &v_x, const NOX::Abstract::MultiVector::DenseMatrix &v_p, NOX::Abstract::MultiVector &v) const

virtual void	fillA (NOX::Abstract::MultiVector &A) const
	Fill the combined A block as described above.

virtual void	fillB (NOX::Abstract::MultiVector &B) const
	Fill the combined B block as described above.

virtual void	fillC (NOX::Abstract::MultiVector::DenseMatrix &C) const
	Fill the combined C block as described above.

Public Member Functions inherited from LOCA::MultiContinuation::AbstractStrategy
	AbstractStrategy ()
	Constructor.

virtual	~AbstractStrategy ()
	Destructor.

Public Member Functions inherited from LOCA::Extended::MultiAbstractGroup
	MultiAbstractGroup ()
	Default constructor.

virtual	~MultiAbstractGroup ()
	Destructor.

virtual Teuchos::RCP< const LOCA::MultiContinuation::AbstractGroup >	getBaseLevelUnderlyingGroup () const
	Return base-level underlying group. More...

virtual Teuchos::RCP < LOCA::MultiContinuation::AbstractGroup >	getBaseLevelUnderlyingGroup ()
	Return base-level underlying group. More...

Public Member Functions inherited from NOX::Abstract::Group
	Group ()
	Constructor. More...

virtual	~Group ()
	Destructor.

virtual NOX::Abstract::Group::ReturnType	applyRightPreconditioning (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::Vector &input, NOX::Abstract::Vector &result) const
	Apply right preconditiong to the given input vector. More...

virtual NOX::Abstract::Group::ReturnType	applyRightPreconditioningMultiVector (bool useTranspose, Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input, NOX::Abstract::MultiVector &result) const
	applyRightPreconditioning for multiple right-hand sides More...

virtual const NOX::Abstract::Vector &	getScaledX () const

virtual void	logLastLinearSolveStats (NOX::SolverStats &stats) const
	Adds statistics from last linear solve to the SovlerStats object.

virtual NOX::Abstract::Group::ReturnType	getNormLastLinearSolveResidual (double &residual) const
	Return the norm of the last linear solve residual as the result of either a call to computeNewton() or applyJacobianInverse(). More...

Public Member Functions inherited from LOCA::BorderedSystem::AbstractGroup
	AbstractGroup ()
	Constructor.

virtual	~AbstractGroup ()
	Destructor.

Protected Member Functions
	ExtendedGroup (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &continuationParams, const Teuchos::RCP< LOCA::MultiContinuation::AbstractGroup > &grp, const Teuchos::RCP< LOCA::MultiPredictor::AbstractStrategy > &pred, const std::vector< int > &paramIDs)
	Constructor used by derived classes.

virtual void	setConstraints (const Teuchos::RCP< LOCA::MultiContinuation::ConstraintInterface > &constraints, bool skip_dfdp)
	Set constraint object. More...

Protected Attributes
Teuchos::RCP< LOCA::GlobalData >	globalData
	Pointer LOCA global data object.

Teuchos::RCP < LOCA::Parameter::SublistParser >	parsedParams
	Parsed top-level parameters.

Teuchos::RCP < Teuchos::ParameterList >	continuationParams
	Continuation parameter list.

Teuchos::RCP < LOCA::MultiContinuation::AbstractGroup >	grpPtr
	Pointer to underlying group.

Teuchos::RCP < LOCA::MultiPredictor::AbstractStrategy >	predictor
	Pointer to predictor object.

Teuchos::RCP < LOCA::MultiContinuation::ConstrainedGroup >	conGroup
	Pointer to constrained group implementation.

int	numParams
	Number of parameters.

LOCA::MultiContinuation::ExtendedMultiVector	tangentMultiVec
	Stores the tangent to the predictor.

LOCA::MultiContinuation::ExtendedMultiVector	scaledTangentMultiVec
	Stores the scaled tangent to the predictor.

LOCA::MultiContinuation::ExtendedVector	prevXVec
	Stores the previous extended solution vector.

std::vector< int >	conParamIDs
	integer id of continuation parameters

std::vector< double >	stepSize
	continuation step size

std::vector< double >	stepSizeScaleFactor
	step size scale factors

bool	isValidPredictor
	Is Predictor vector valid.

bool	baseOnSecant
	Flag indicating whether to base predictor direction on secant.

Additional Inherited Members
Public Types inherited from NOX::Abstract::Group
enum	ReturnType { Ok, NotDefined, BadDependency, NotConverged, Failed }
	The computation of, say, the Newton direction in computeNewton() may fail in many different ways, so we have included a variety of return codes to describe the failures. Of course, we also have a code for success. More...

Detailed Description

Base class for all continuation groups.

Continuation is defined as computing some curve $(x(s),p(s))\in\Re^{n+1}$ such that $F(x(s),p(s))=0$ for some parameterization $s$ . Given some point $(x_0,p_0)$ on the curve, another nearby point on the curve is calculated by first computing a predictor direction $v\in\Re^{n+1}$ and the approximate point $(x^\ast,p^\ast) = (x_0,p_0) + v\Delta s$ where $\Delta s$ is the step size. Then the next point on the curve is computed by solving the extended set of equations

$\begin{array}{cc} F(x,p) &= 0 \\ g(x,p,x_0,p_0,x^\ast,p^\ast,v,\Delta s) &= 0 \end{array}$

for $(x,p)$ . The equation $g(x,p,x_0,p_0,x^\ast,p^\ast,v,\Delta s)=0$ is called the continuation equation and different choices of $g$ yield different continuation methods.

Mathematically, this computation amounts to repeatedly computing solutions to a constrained nonlinear system. This class provides a common implementation for all continuation groups in terms of the LOCA::MultiContinuation::ConstrainedGroup using a supplied group to represent $F$ and an implementation of LOCA::MultiContinuation::ConstraintInterface to represent $g$ .

Note that this class has no public constructor other than the copy constructor since it is intended to only provide an implemenation of much of the continuation work. Each derived class that implements a specific continuation strategy should provide its own public constructor.

Member Function Documentation

void LOCA::MultiContinuation::ExtendedGroup::extractParameterComponent	(	bool	use_transpose,
		const NOX::Abstract::MultiVector &	v,
		NOX::Abstract::MultiVector::DenseMatrix &	v_p
	)		const

virtual

Given the vector v, extract the parameter components of all of the nested subvectors in v down to the solution component for the unbordered group.

Implements LOCA::BorderedSystem::AbstractGroup.

void LOCA::MultiContinuation::ExtendedGroup::extractSolutionComponent	(	const NOX::Abstract::MultiVector &	v,
		NOX::Abstract::MultiVector &	v_x
	)		const

virtual

Given the vector v, extract the underlying solution component corresponding to the unbordered group.

Implements LOCA::BorderedSystem::AbstractGroup.

void LOCA::MultiContinuation::ExtendedGroup::loadNestedComponents	(	const NOX::Abstract::MultiVector &	v_x,
		const NOX::Abstract::MultiVector::DenseMatrix &	v_p,
		NOX::Abstract::MultiVector &	v
	)		const

virtual

Given the solution component v_x and combined parameter components v_p, distribute these components through the nested sub-vectors in v.

Implements LOCA::BorderedSystem::AbstractGroup.

void LOCA::MultiContinuation::ExtendedGroup::postProcessContinuationStep ( LOCA::Abstract::Iterator::StepStatus stepStatus )

virtual

Perform any postprocessing after a continuation step finishes.

The stepStatus argument indicates whether the step was successful.

Implements LOCA::MultiContinuation::AbstractStrategy.

References LOCA::Abstract::Iterator::Successful.

void LOCA::MultiContinuation::ExtendedGroup::preProcessContinuationStep ( LOCA::Abstract::Iterator::StepStatus stepStatus )

virtual

Perform any preprocessing before a continuation step starts.

The stepStatus argument indicates whether the previous step was successful.

Implements LOCA::MultiContinuation::AbstractStrategy.

void LOCA::MultiContinuation::ExtendedGroup::setConstraints	(	const Teuchos::RCP< LOCA::MultiContinuation::ConstraintInterface > &	constraints,
		bool	skip_dfdp
	)

protectedvirtual

Set constraint object.

This allows the constraint object to be set after the group is constructed using the above constructor.

References Teuchos::rcp().

Referenced by LOCA::MultiContinuation::ArcLengthGroup::ArcLengthGroup(), and LOCA::MultiContinuation::NaturalGroup::NaturalGroup().

void LOCA::MultiContinuation::ExtendedGroup::setPredictorTangentDirection	(	const LOCA::MultiContinuation::ExtendedVector &	v,
		int	i
	)

virtual

Sets tangent to predictor.

This is required by MF which takes the tangent space, orthogonalizes it, and then sets it back in the group.

Implements LOCA::MultiContinuation::AbstractStrategy.

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

LOCA_MultiContinuation_ExtendedGroup.H
LOCA_MultiContinuation_ExtendedGroup.C

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation