Implementation of LOCA::MultiContinuation::ConstraintInterfaceMVDX for computing turning points for the minimally augmented turning point formulation. More...

#include <LOCA_TurningPoint_MinimallyAugmented_ModifiedConstraint.H>

Inheritance diagram for LOCA::TurningPoint::MinimallyAugmented::ModifiedConstraint:

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Collaboration diagram for LOCA::TurningPoint::MinimallyAugmented::ModifiedConstraint:

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Public Member Functions
	ModifiedConstraint (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &tpParams, const Teuchos::RCP< LOCA::TurningPoint::MinimallyAugmented::AbstractGroup > &g, int bif_param)
	Constructor.

	ModifiedConstraint (const ModifiedConstraint &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~ModifiedConstraint ()
	Destructor.

void	setNewtonUpdates (const NOX::Abstract::Vector &dx, double dp, double step)
	Set the newton update for x and p.

Implementation of LOCA::MultiContinuation::ConstraintInterface
virtual methods
virtual void	copy (const LOCA::MultiContinuation::ConstraintInterface &source)
	Copy.

virtual Teuchos::RCP < LOCA::MultiContinuation::ConstraintInterface >	clone (NOX::CopyType type=NOX::DeepCopy) const
	Cloning function.

virtual NOX::Abstract::Group::ReturnType	computeConstraints ()
	Compute continuation constraint equations.

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...

Public Member Functions inherited from LOCA::TurningPoint::MinimallyAugmented::Constraint
	Constraint (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &tpParams, const Teuchos::RCP< LOCA::TurningPoint::MinimallyAugmented::AbstractGroup > &g, int bif_param)
	Constructor.

	Constraint (const Constraint &source, NOX::CopyType type=NOX::DeepCopy)
	Copy constructor.

virtual	~Constraint ()
	Destructor.

virtual void	setGroup (const Teuchos::RCP< LOCA::TurningPoint::MinimallyAugmented::AbstractGroup > &g)
	Set the group pointer. More...

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getLeftNullVec () const
	Returns left null vector w.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getRightNullVec () const
	Returns right null vector v.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getAVec () const
	Returns a vector.

virtual Teuchos::RCP< const NOX::Abstract::Vector >	getBVec () const
	Returns b vector.

virtual double	getSigma () const
	Returns sigma.

virtual int	numConstraints () const
	Return number of constraints.

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

virtual void	setParam (int paramID, double val)
	Sets parameter indexed by paramID.

virtual void	setParams (const std::vector< int > &paramIDs, const NOX::Abstract::MultiVector::DenseMatrix &vals)
	Sets parameters indexed by paramIDs.

virtual NOX::Abstract::Group::ReturnType	computeDX ()
	Compute derivative of constraints w.r.t. solution vector x.

virtual NOX::Abstract::Group::ReturnType	computeDP (const std::vector< int > &paramIDs, NOX::Abstract::MultiVector::DenseMatrix &dgdp, bool isValidG)
	Compute derivative of constraints w.r.t. supplied parameters. More...

virtual bool	isConstraints () const
	Return `true` if constraint residuals are valid.

virtual bool	isDX () const
	Return `true` if derivatives of constraints w.r.t. x are valid.

virtual const NOX::Abstract::MultiVector::DenseMatrix &	getConstraints () const
	Return constraint residuals.

virtual const NOX::Abstract::MultiVector *	getDX () const
	Return solution component of constraint derivatives.

virtual bool	isDXZero () const
	Return `true` if solution component of constraint derivatives is zero.

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

virtual	~ConstraintInterfaceMVDX ()
	Destructor.

virtual NOX::Abstract::Group::ReturnType	multiplyDX (double alpha, const NOX::Abstract::MultiVector &input_x, NOX::Abstract::MultiVector::DenseMatrix &result_p) const
	Compute result_p = alpha * dg/dx * input_x. More...

virtual NOX::Abstract::Group::ReturnType	addDX (Teuchos::ETransp transb, double alpha, const NOX::Abstract::MultiVector::DenseMatrix &b, double beta, NOX::Abstract::MultiVector &result_x) const
	Compute result_x = alpha * dg/dx^T * op(b) + beta * result_x. More...

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

virtual	~ConstraintInterface ()
	Destructor.

Protected Attributes
Teuchos::RCP < NOX::Abstract::MultiVector >	w_vector_update
	Stores update to left null vector.

Teuchos::RCP < NOX::Abstract::MultiVector >	v_vector_update
	Stores update to right null vector.

Teuchos::RCP < NOX::Abstract::MultiVector >	w_residual
	Stores left null vector residual.

Teuchos::RCP < NOX::Abstract::MultiVector >	v_residual
	Stores right null vector residual.

Teuchos::RCP < NOX::Abstract::MultiVector >	deltaX
	Stores solution update.

NOX::Abstract::MultiVector::DenseMatrix	sigma1
	Stores sigma_1.

NOX::Abstract::MultiVector::DenseMatrix	sigma2
	Stores sigma_1.

double	deltaP
	Stores parameter update.

bool	isFirstSolve

bool	includeNewtonTerms
	Flag indicating whether to include the newton update terms.

Protected Attributes inherited from LOCA::TurningPoint::MinimallyAugmented::Constraint
Teuchos::RCP< LOCA::GlobalData >	globalData
	Pointer LOCA global data object.

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

Teuchos::RCP < Teuchos::ParameterList >	turningPointParams
	Bifurcation parameter list.

Teuchos::RCP < LOCA::TurningPoint::MinimallyAugmented::AbstractGroup >	grpPtr
	Pointer to base group that defines .

Teuchos::RCP < NOX::Abstract::MultiVector >	a_vector
	Vector for .

Teuchos::RCP < NOX::Abstract::MultiVector >	b_vector
	Vector for .

Teuchos::RCP < NOX::Abstract::MultiVector >	w_vector
	Stores left null vector.

Teuchos::RCP < NOX::Abstract::MultiVector >	v_vector
	Stores right null vector.

Teuchos::RCP < NOX::Abstract::MultiVector >	Jv_vector
	Stores J*v.

Teuchos::RCP < NOX::Abstract::MultiVector >	Jtw_vector
	Stores J^T*w.

Teuchos::RCP < NOX::Abstract::MultiVector >	sigma_x
	Stores sigma_x.

NOX::Abstract::MultiVector::DenseMatrix	constraints
	Constraint values.

Teuchos::RCP < LOCA::BorderedSolver::AbstractStrategy >	borderedSolver
	Stores bordered solver strategy.

double	dn
	Stores vector length as a double.

double	sigma_scale
	Stores scale factor on sigma.

bool	isSymmetric
	Flag indicating whether Jacobian is symmetric.

bool	isValidConstraints
	Flag indicating whether constraints are valid.

bool	isValidDX
	Flag indicating whether sigma_x is valid.

std::vector< int >	bifParamID
	Stores the bifurcation parameter index.

bool	updateVectorsEveryContinuationStep
	Flag indicating whether to update and every continuation step.

bool	updateVectorsEveryIteration
	Flag indicating whether to update and every nonlinear iteration.

NullVectorScaling	nullVecScaling
	Null vector scaling method.

bool	multiplyMass
	Multiply null vectors by mass matrix.

Teuchos::RCP < LOCA::TimeDependent::AbstractGroup >	tdGrp
	Time dependent group interface for multiplying by mass matrix.

Teuchos::RCP < NOX::Abstract::Vector >	tmp_mass
	Temporary vector for mulplying null vectors by mass matrix.

Additional Inherited Members
Protected Types inherited from LOCA::TurningPoint::MinimallyAugmented::Constraint
enum	NullVectorScaling { NVS_None, NVS_OrderOne, NVS_OrderN }
	Enumerated type determining type of scaling. More...

Protected Member Functions inherited from LOCA::TurningPoint::MinimallyAugmented::Constraint
virtual void	scaleNullVectors (NOX::Abstract::Vector &a, NOX::Abstract::Vector &b)
	Scale a & b vectors.

virtual void	getInitialVectors (NOX::Abstract::Vector &a, NOX::Abstract::Vector &b)
	Get initial a & b vectors.

Detailed Description

Implementation of LOCA::MultiContinuation::ConstraintInterfaceMVDX for computing turning points for the minimally augmented turning point formulation.

This class is a modification of LOCA::TurningPoint::MinimallyAugmented::Constraint where updates are computed to the left and right null vectors $w$ and $v$ every nonlinear iteration instead of solving for them directly:

$\begin{bmatrix} J & a \\ b^T & 0 \end{bmatrix} \begin{bmatrix} \Delta v \\ \Delta \sigma_1 \end{bmatrix} = - \begin{bmatrix} J v + \sigma_1 a + (Jv)_x\Delta x + (Jv)_p \Delta p\\ b^T a - n \end{bmatrix},$

$\begin{bmatrix} J^T & b \\ a^T & 0 \end{bmatrix} \begin{bmatrix} \Delta w \\ \Delta \sigma_2 \end{bmatrix} = - \begin{bmatrix} J^T w + \sigma_2 b + (J^T w)_x \Delta x + (J^T w)_p \Delta p \\ a^T w - n \end{bmatrix},$

The class is intialized via the tpParams parameter list argument to the constructor. This class recognizes all paramters for LOCA::TurningPoint::MinimallyAugmented::Constraint plus the following:

"Include Newton Terms" – [bool] (default: false) - Flag indicating whether to include the $\Delta x$ and $\Delta p$ terms above when computing the null vector updates

Member Function Documentation

void LOCA::TurningPoint::MinimallyAugmented::ModifiedConstraint::postProcessContinuationStep ( LOCA::Abstract::Iterator::StepStatus stepStatus )

virtual

Perform any postprocessing after a continuation step finishes.

The stepStatus argument indicates whether the step was successful. Here we set up the constraint class to solve for $w$ and $v$ for the first nonlinear iteration.

Reimplemented from LOCA::TurningPoint::MinimallyAugmented::Constraint.

References LOCA::TurningPoint::MinimallyAugmented::Constraint::postProcessContinuationStep(), and LOCA::Abstract::Iterator::Successful.

void LOCA::TurningPoint::MinimallyAugmented::ModifiedConstraint::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. Here we set up the constraint class to solve for $w$ and $v$ for the first nonlinear iteration.

Reimplemented from LOCA::MultiContinuation::ConstraintInterface.

References LOCA::MultiContinuation::ConstraintInterface::preProcessContinuationStep().

Member Data Documentation

bool LOCA::TurningPoint::MinimallyAugmented::ModifiedConstraint::isFirstSolve

protected

Flag that indicates whether we're in the first solve per continuation step.

Referenced by copy().

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

LOCA_TurningPoint_MinimallyAugmented_ModifiedConstraint.H
LOCA_TurningPoint_MinimallyAugmented_ModifiedConstraint.C

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation

Member Data Documentation