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Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
LOCA::Pitchfork::MooreSpence::SalingerBordering Class Reference

Moore-Spence pitchfork solver strategy based on "Salinger" bordering. This is the classic 6-solve bordering method. More...

#include <LOCA_Pitchfork_MooreSpence_SalingerBordering.H>

Inheritance diagram for LOCA::Pitchfork::MooreSpence::SalingerBordering:
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Collaboration diagram for LOCA::Pitchfork::MooreSpence::SalingerBordering:
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Public Member Functions

 SalingerBordering (const Teuchos::RCP< LOCA::GlobalData > &global_data, const Teuchos::RCP< LOCA::Parameter::SublistParser > &topParams, const Teuchos::RCP< Teuchos::ParameterList > &solverParams)
 Constructor.
 
virtual ~SalingerBordering ()
 Destructor.
 
virtual void setBlocks (const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::AbstractGroup > &group, const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::ExtendedGroup > &pfGroup, const Teuchos::RCP< const NOX::Abstract::MultiVector > &asymMultiVector, const Teuchos::RCP< const NOX::Abstract::Vector > &nullVector, const Teuchos::RCP< const NOX::Abstract::Vector > &JnVector, const Teuchos::RCP< const NOX::Abstract::Vector > &dfdp, const Teuchos::RCP< const NOX::Abstract::Vector > &dJndp)
 Set blocks in extended linear system.
 
virtual NOX::Abstract::Group::ReturnType solve (Teuchos::ParameterList &params, const LOCA::Pitchfork::MooreSpence::ExtendedMultiVector &input, LOCA::Pitchfork::MooreSpence::ExtendedMultiVector &result) const
 Solves the extended system as defined above.
 
- Public Member Functions inherited from LOCA::Pitchfork::MooreSpence::SolverStrategy
 SolverStrategy ()
 Constructor.
 
virtual ~SolverStrategy ()
 Destructor.
 
virtual void setBlocks (const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::AbstractGroup > &group, const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::ExtendedGroup > &pfGroup, const Teuchos::RCP< const NOX::Abstract::MultiVector > &asymMultiVector, const Teuchos::RCP< const NOX::Abstract::Vector > &nullVector, const Teuchos::RCP< const NOX::Abstract::Vector > &JnVector, const Teuchos::RCP< const NOX::Abstract::Vector > &dfdp, const Teuchos::RCP< const NOX::Abstract::Vector > &dJndp)=0
 Set blocks in extended linear system.
 
virtual NOX::Abstract::Group::ReturnType solve (Teuchos::ParameterList &params, const LOCA::Pitchfork::MooreSpence::ExtendedMultiVector &input, LOCA::Pitchfork::MooreSpence::ExtendedMultiVector &result) const =0
 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_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.
 

Protected Attributes

Teuchos::RCP< LOCA::GlobalDataglobalData
 Global data object.
 
Teuchos::RCP< Teuchos::ParameterList > solverParams
 Solver parameters.
 
Teuchos::RCP< LOCA::Pitchfork::MooreSpence::AbstractGroupgroup
 Underlying group.
 
Teuchos::RCP< LOCA::Pitchfork::MooreSpence::ExtendedGrouppfGroup
 Turning point group.
 
Teuchos::RCP< const NOX::Abstract::MultiVectorasymMultiVector
 Antisymmetric vector (psi)
 
Teuchos::RCP< const NOX::Abstract::VectorasymVector
 Antisymmetric vector (psi)
 
Teuchos::RCP< const NOX::Abstract::VectornullVector
 Null vector.
 
Teuchos::RCP< const NOX::Abstract::VectorJnVector
 Jacobian times null vector.
 
Teuchos::RCP< const NOX::Abstract::Vectordfdp
 df/dp
 
Teuchos::RCP< const NOX::Abstract::VectordJndp
 d(Jn)/dp
 

Detailed Description

Moore-Spence pitchfork solver strategy based on "Salinger" bordering. This is the classic 6-solve bordering method.

This class solves the Moore-Spence pitchfork Newton equations:

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

via the following block elimination scheme:

\[
   \begin{split}
      J [A \; b \; c] &= [F \; f_p \; \psi] \\
      J [D \; e \; g] &= [G \; (Jv)_p \; 0] - (Jv)_x[A \; b \; c] \\
      w &= \frac{\phi^T e(\langle A, \psi\rangle - s) -
                 \langle b, \psi\rangle(\phi^T D - h)}
    {\phi^T e \langle c, \psi\rangle -
     \phi^T g \langle b, \psi\rangle} \\
      z &= \frac{\phi^T D - h - (\phi^T g) w}{\phi^T e} \\
      X &= A - b z - c w \\
      Y &= D - e z - g w
   \end{split}
  \]

Constructor & Destructor Documentation

◆ SalingerBordering()

LOCA::Pitchfork::MooreSpence::SalingerBordering::SalingerBordering ( 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. Currently none are referenced.

Member Function Documentation

◆ setBlocks()

void LOCA::Pitchfork::MooreSpence::SalingerBordering::setBlocks ( const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::AbstractGroup > &  group,
const Teuchos::RCP< LOCA::Pitchfork::MooreSpence::ExtendedGroup > &  pfGroup,
const Teuchos::RCP< const NOX::Abstract::MultiVector > &  asymMultiVector,
const Teuchos::RCP< const NOX::Abstract::Vector > &  nullVector,
const Teuchos::RCP< const NOX::Abstract::Vector > &  JnVector,
const Teuchos::RCP< const NOX::Abstract::Vector > &  dfdp,
const Teuchos::RCP< const NOX::Abstract::Vector > &  dJndp 
)
virtual

Set blocks in extended linear system.

Parameters
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.

◆ solve()

NOX::Abstract::Group::ReturnType LOCA::Pitchfork::MooreSpence::SalingerBordering::solve ( Teuchos::ParameterList &  params,
const LOCA::Pitchfork::MooreSpence::ExtendedMultiVector input,
LOCA::Pitchfork::MooreSpence::ExtendedMultiVector result 
) const
virtual

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