LOCA::TurningPoint::MooreSpence::PhippsBordering Class Reference

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:

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

Collaboration graph
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)
virtual ~PhippsBordering ()
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.

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.

Protected Attributes

Teuchos::RCP< LOCA::GlobalDataglobalData
 Global data object.
Teuchos::RCP< Teuchos::ParameterListsolverParams
 Solver parameters.
Teuchos::RCP< LOCA::TurningPoint::MooreSpence::AbstractGroupgroup
 Underlying group.
Teuchos::RCP< LOCA::TurningPoint::MooreSpence::ExtendedGrouptpGroup
 Turning point group.
Teuchos::RCP< const NOX::Abstract::VectornullVector
 Null vector.
Teuchos::RCP< const NOX::Abstract::VectorJnVector
 Jacobian times null vector.
Teuchos::RCP< const NOX::Abstract::MultiVectordfdp
Teuchos::RCP< const NOX::Abstract::MultiVectordJndp
Teuchos::RCP< LOCA::BorderedSolver::AbstractStrategyborderedSolver
 Bordered solver for solving (n+1)x(n+1) sets of equations.
Teuchos::RCP< NOX::Abstract::MultiVectornullMultiVector
 Null vector as a multivector.
Teuchos::RCP< NOX::Abstract::MultiVectorJnMultiVector
 Jacobian times null vector as a multivector.
double s
 Norm of JnVector.

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 


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.

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.

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.

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.

The documentation for this class was generated from the following files:
Generated on Wed May 12 21:41:58 2010 for NOX by  doxygen 1.4.7