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Moore-Spence pitchfork solver strategy based on "Phipps" bordering which is the 7-solve modified pitchfork bordering algorithm that uses bordered linear solves. More...
#include <LOCA_Pitchfork_MooreSpence_PhippsBordering.H>
Protected Member Functions | |
| NOX::Abstract::Group::ReturnType | solveContiguous (Teuchos::ParameterList ¶ms, const NOX::Abstract::MultiVector &input_x, const NOX::Abstract::MultiVector &input_null, const NOX::Abstract::MultiVector::DenseMatrix &input_slack, const NOX::Abstract::MultiVector::DenseMatrix &input_param, NOX::Abstract::MultiVector &result_x, NOX::Abstract::MultiVector &result_null, NOX::Abstract::MultiVector::DenseMatrix &result_slack, NOX::Abstract::MultiVector::DenseMatrix &result_param) const |
| Solves equations with contiguous arguments. | |
Moore-Spence pitchfork solver strategy based on "Phipps" bordering which is the 7-solve modified pitchfork bordering algorithm that uses bordered linear solves.
This class solves the Moore-Spence pitchfork Newton equations:
![\[ \begin{bmatrix} J & 0 & \psi & f_p \\ (Jv)_x & J & 0 & (Jv)_p \\ \psi^T & 0 & 0 & 0 \\ 0 & \phi^T & 0 & 0 \end{bmatrix} \begin{bmatrix} X \\ Y \\ w \\ z \end{bmatrix} = \begin{bmatrix} F \\ G \\ s \\ h \end{bmatrix} \]](form_559.png)
via the following modified block elimination scheme:
![\[ \begin{split} \begin{bmatrix} J & u \\ v^T & 0 \end{bmatrix} \begin{bmatrix} A & B & C \\ a & b & c \end{bmatrix} &= \begin{bmatrix} F & f_p & \psi \\ 0 & 0 & 0 \end{bmatrix} \\ \begin{bmatrix} J & u \\ v^T & 0 \end{bmatrix} \begin{bmatrix} D & E & K & L \\ d & e & k & l \end{bmatrix} &= \begin{bmatrix} G - (Jv)_x A & (Jv)_p - (Jv)_x B & -(Jv)_x C & -(Jv)_x v \\ 0 & 0 & 0 & 0 \end{bmatrix} \\ \begin{bmatrix} \sigma & 0 & b & c \\ -l & \sigma & e & k \\ \langle v,\psi\rangle & 0 & -\langle B,\psi\rangle & -\langle C,\psi\rangle \\ \phi^T L & \phi^T v & -\phi^T E & -\phi^T K \end{bmatrix} \begin{bmatrix} \alpha \\ \beta \\ z \\ w \end{bmatrix} &= \begin{bmatrix} a \\ d \\ s - \langle A,\psi\rangle h - \phi^T D \end{bmatrix} \\ X &= A - B z - C w + v \alpha \\ Y &= D - E z - K w + L \alpha + v \beta \end{split} \]](form_560.png)
where 
and 
. Each bordered solve is implemented by a LOCA::BorderedSolver::AbstractStrategy strategy object.
| LOCA::Pitchfork::MooreSpence::PhippsBordering::PhippsBordering | ( | const Teuchos::RCP< LOCA::GlobalData > & | global_data, |
| const Teuchos::RCP< LOCA::Parameter::SublistParser > & | topParams, | ||
| const Teuchos::RCP< Teuchos::ParameterList > & | solverParams | ||
| ) |
Constructor.
| 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, globalData, LOCA::GlobalData::locaFactory, and solverParams.
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virtual |
Set blocks in extended linear system.
| group | [in] Underlying group representing J |
| pfGroup | [in] Pitchfork group representing the pitchfork equations. |
| asymMultiVector | [in] Multivector representing the asymmetric vector |
| 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::Pitchfork::MooreSpence::SolverStrategy.
References NOX::Abstract::Vector::createMultiVector(), NOX::DeepCopy, NOX::Abstract::MultiVector::norm(), Teuchos::rcp(), and NOX::Abstract::Vector::TwoNorm.
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virtual |
Solves the extended system as defined above.
The params argument is the linear solver parameters.
Implements LOCA::Pitchfork::MooreSpence::SolverStrategy.
References NOX::Abstract::MultiVector::clone(), LOCA::Pitchfork::MooreSpence::ExtendedMultiVector::getBifParams(), LOCA::Pitchfork::MooreSpence::ExtendedMultiVector::getNullMultiVec(), LOCA::Pitchfork::MooreSpence::ExtendedMultiVector::getSlacks(), LOCA::Pitchfork::MooreSpence::ExtendedMultiVector::getXMultiVec(), NOX::Abstract::MultiVector::init(), LOCA::Extended::MultiVector::numVectors(), NOX::Abstract::MultiVector::setBlock(), and NOX::Abstract::MultiVector::subView().
1.8.5
Public Member Functions inherited from