Moore-Spence turning point solver strategy based on "Phipps" bordering which is the 5-solve modified turning point bordering algorithm that uses bordered linear solves. More...

#include <LOCA_TurningPoint_MooreSpence_PhippsBordering.H>

Inheritance diagram for LOCA::TurningPoint::MooreSpence::PhippsBordering:

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Collaboration diagram for LOCA::TurningPoint::MooreSpence::PhippsBordering:

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List of all members.

Public Member Functions
	PhippsBordering (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &solverParams)
	Constructor.
virtual	~PhippsBordering ()
	Destructor.
virtual void	setBlocks (const Teuchos::RCP< LOCA::TurningPoint::MooreSpence::AbstractGroup > &group, const Teuchos::RCP< LOCA::TurningPoint::MooreSpence::ExtendedGroup > &tpGroup, const Teuchos::RCP< const NOX::Abstract::Vector > &nullVector, const Teuchos::RCP< const NOX::Abstract::Vector > &JnVector, const Teuchos::RCP< const NOX::Abstract::MultiVector > &dfdp, const Teuchos::RCP< const NOX::Abstract::MultiVector > &dJndp)
	Set blocks in extended linear system.
virtual NOX::Abstract::Group::ReturnType	solve (Teuchos::ParameterList &params, const LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &input, LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &result) const
	Solves the extended system as defined above.
virtual NOX::Abstract::Group::ReturnType	solveTranspose (Teuchos::ParameterList &params, const LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &input, LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &result) const
	Solves the transpose of the extended system as defined above.
Protected Member Functions
NOX::Abstract::Group::ReturnType	solveContiguous (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_x, const NOX::Abstract::MultiVector &input_null, const NOX::Abstract::MultiVector::DenseMatrix &input_param, NOX::Abstract::MultiVector &result_x, NOX::Abstract::MultiVector &result_null, NOX::Abstract::MultiVector::DenseMatrix &result_param) const
	Solves equations with contiguous arguments.
NOX::Abstract::Group::ReturnType	solveTransposeContiguous (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_x, const NOX::Abstract::MultiVector &input_null, const NOX::Abstract::MultiVector::DenseMatrix &input_param, NOX::Abstract::MultiVector &result_x, NOX::Abstract::MultiVector &result_null, NOX::Abstract::MultiVector::DenseMatrix &result_param) const
	Solves equations with contiguous arguments.
Protected Attributes
Teuchos::RCP< LOCA::GlobalData >	globalData
	Global data object.
Teuchos::RCP < Teuchos::ParameterList >	solverParams
	Solver parameters.
Teuchos::RCP < LOCA::TurningPoint::MooreSpence::AbstractGroup >	group
	Underlying group.
Teuchos::RCP < LOCA::TurningPoint::MooreSpence::ExtendedGroup >	tpGroup
	Turning point group.
Teuchos::RCP< const NOX::Abstract::Vector >	nullVector
	Null vector.
Teuchos::RCP< const NOX::Abstract::Vector >	JnVector
	Jacobian times null vector.
Teuchos::RCP< const NOX::Abstract::MultiVector >	dfdp
	df/dp
Teuchos::RCP< const NOX::Abstract::MultiVector >	dJndp
	d(Jn)/dp
Teuchos::RCP < LOCA::BorderedSolver::AbstractStrategy >	borderedSolver
	Bordered solver for solving (n+1)x(n+1) sets of equations.
Teuchos::RCP < LOCA::BorderedSolver::AbstractStrategy >	transposeBorderedSolver
	Bordered solver for solving transpose (n+1)x(n+1) sets of equations.
Teuchos::RCP < NOX::Abstract::MultiVector >	nullMultiVector
	Null vector as a multivector.
Teuchos::RCP < NOX::Abstract::MultiVector >	JnMultiVector
	Jacobian times null vector as a multivector.
Teuchos::RCP< const NOX::Abstract::Vector >	uVector
	u vector
Teuchos::RCP< const NOX::Abstract::MultiVector >	uMultiVector
	u multi vector
double	s
	Norm of JnVector.
double	st
	Norm of J^T*u.

Detailed Description

Moore-Spence turning point solver strategy based on "Phipps" bordering which is the 5-solve modified turning point bordering algorithm that uses bordered linear solves.

This class solves the Moore-Spence turning point Newton equations:

$\begin{bmatrix} J & 0 & f_p \\ (Jv)_x & J & (Jv)_p \\ 0 & \phi^T & 0 \end{bmatrix} \begin{bmatrix} X \\ Y \\ z \end{bmatrix} = \begin{bmatrix} F \\ G \\ h \end{bmatrix}$

via the following modified block elimination scheme:

$\begin{split} \begin{bmatrix} J & u \\ v^T & 0 \end{bmatrix} \begin{bmatrix} A & B \\ a & b \end{bmatrix} &= \begin{bmatrix} F & f_p \\ 0 & 0 \end{bmatrix} \\ \begin{bmatrix} J & u \\ v^T & 0 \end{bmatrix} \begin{bmatrix} C & D & E\\ c & d & e \end{bmatrix} &= \begin{bmatrix} (Jv)_x A - G & (Jv)_x B - (Jv)_p & (Jv)_x v \\ 0 & 0 & 0 \end{bmatrix} \\ \begin{bmatrix} \sigma & 0 & b \\ e & \sigma & -d \\ -\phi^T E & \phi^T v & \phi^T D \end{bmatrix} \begin{bmatrix} \alpha \\ \beta \\ z \end{bmatrix} &= \begin{bmatrix} a \\ c \\ h + \phi^T C \end{bmatrix} \\ X &= A - B z + v \alpha \\ Y &= -C + d z - E \alpha + v \beta \end{split}$

where $s = \|J v\|$ and $u = J v/s$ . Each bordered solve is implemented by a LOCA::BorderedSolver::AbstractStrategy strategy object.

Constructor & Destructor Documentation

LOCA::TurningPoint::MooreSpence::PhippsBordering::PhippsBordering	(	const Teuchos::RCP< LOCA::GlobalData > &	global_data,
		const Teuchos::RCP< LOCA::Parameter::SublistParser > &	topParams,
		const Teuchos::RCP< Teuchos::ParameterList > &	solverParams
	)

Constructor.

Parameters:

global_data	[in] Global data object
topParams	[in] Parsed top-level parameter list
solverParams	[in] Bordered solver parameters. Instantiates a bordered solver for solving the bordeded systems described above. See LOCA::BorderedSolver::Factory for a description of available solvers.

References borderedSolver, LOCA::Factory::createBorderedSolverStrategy(), globalData, LOCA::GlobalData::locaFactory, and solverParams.

Member Function Documentation

void LOCA::TurningPoint::MooreSpence::PhippsBordering::setBlocks	(	const Teuchos::RCP< LOCA::TurningPoint::MooreSpence::AbstractGroup > &	group,
		const Teuchos::RCP< LOCA::TurningPoint::MooreSpence::ExtendedGroup > &	tpGroup,
		const Teuchos::RCP< const NOX::Abstract::Vector > &	nullVector,
		const Teuchos::RCP< const NOX::Abstract::Vector > &	JnVector,
		const Teuchos::RCP< const NOX::Abstract::MultiVector > &	dfdp,
		const Teuchos::RCP< const NOX::Abstract::MultiVector > &	dJndp
	)		`[virtual]`

Set blocks in extended linear system.

Parameters:

group	[in] Underlying group representing J
tpGroup	[in] Turning point group representing the turning point equations.
nullVector	[in] Vector representing v
JnVector	[in] Vector representing Jv
dfdp	[in] Vector representing df/dp
dJndp	[in] Vector representing d(Jv)/dp

Implements LOCA::TurningPoint::MooreSpence::SolverStrategy.

References NOX::DeepCopy, NOX::Abstract::MultiVector::norm(), Teuchos::rcp(), and NOX::Abstract::Vector::TwoNorm.

NOX::Abstract::Group::ReturnType LOCA::TurningPoint::MooreSpence::PhippsBordering::solve	(	Teuchos::ParameterList &	params,
		const LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &	input,
		LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &	result
	)		const `[virtual]`

Solves the extended system as defined above.

The params argument is the linear solver parameters.

Implements LOCA::TurningPoint::MooreSpence::SolverStrategy.

References NOX::Abstract::MultiVector::clone(), LOCA::TurningPoint::MooreSpence::ExtendedMultiVector::getNullMultiVec(), LOCA::Extended::MultiVector::getScalars(), LOCA::TurningPoint::MooreSpence::ExtendedMultiVector::getXMultiVec(), NOX::Abstract::MultiVector::init(), LOCA::Extended::MultiVector::numVectors(), NOX::Abstract::MultiVector::setBlock(), and NOX::Abstract::MultiVector::subView().

NOX::Abstract::Group::ReturnType LOCA::TurningPoint::MooreSpence::PhippsBordering::solveTranspose	(	Teuchos::ParameterList &	params,
		const LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &	input,
		LOCA::TurningPoint::MooreSpence::ExtendedMultiVector &	result
	)		const `[virtual]`

Solves the transpose of the extended system as defined above.

The params argument is the linear solver parameters.

Reimplemented from LOCA::TurningPoint::MooreSpence::SolverStrategy.

References NOX::Abstract::MultiVector::clone(), LOCA::TurningPoint::MooreSpence::ExtendedMultiVector::getNullMultiVec(), LOCA::Extended::MultiVector::getScalars(), LOCA::TurningPoint::MooreSpence::ExtendedMultiVector::getXMultiVec(), NOX::Abstract::MultiVector::init(), NOX::Abstract::Vector::init(), LOCA::Extended::MultiVector::numVectors(), NOX::Abstract::MultiVector::setBlock(), NOX::Abstract::MultiVector::subView(), and NOX::Abstract::Vector::update().

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

LOCA_TurningPoint_MooreSpence_PhippsBordering.H
LOCA_TurningPoint_MooreSpence_PhippsBordering.C

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation