LOCA::Hopf::MinimallyAugmented::AbstractGroup

LOCA::Hopf::MinimallyAugmented::AbstractGroup Class Reference

Interface to underlying groups for Hopf calculations using the minimally augmented formulation. More...

#include <LOCA_Hopf_MinimallyAugmented_AbstractGroup.H>

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List of all members.

Public Member Functions

 AbstractGroup ()
 Default constructor.
virtual ~AbstractGroup ()
 Destructor.
Pure virtual methods
These methods must be defined by any concrete implementation

virtual NOX::Abstract::Group::ReturnType applyComplexTranspose (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const =0
virtual NOX::Abstract::Group::ReturnType applyComplexTransposeMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
virtual NOX::Abstract::Group::ReturnType applyComplexTransposeInverseMultiVector (Teuchos::ParameterList &params, const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
 Solve $(J+i\omega M)^H (x + iy) = a+ib$.
virtual NOX::Abstract::Group::ReturnType computeDwtCeDp (const vector< int > &paramIDs, const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &z, double omega, NOX::Abstract::MultiVector::DenseMatrix &result_real, NOX::Abstract::MultiVector::DenseMatrix &result_imag, bool isValid)=0
 Computes the derivative $\partial w^H C e/\partial p$, $w = w_1 + i w_2$, $e = y + i z$, $C = J + i \omega M$.
virtual NOX::Abstract::Group::ReturnType computeDwtCeDx (const NOX::Abstract::Vector &w1, const NOX::Abstract::Vector &w2, const NOX::Abstract::Vector &y, const NOX::Abstract::Vector &z, double omega, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag)=0
 Computes the derivative $\frac{\partial w^H C e}{\partial x}$, $w = w_1 + i w_2$, $e = y + i z$, $C = J + i \omega M$.

Detailed Description

Interface to underlying groups for Hopf calculations using the minimally augmented formulation.

This abstract class provides the required interface for underlying groups to locate Hopfs using the minimally augmented Hopf (see LOCA::Hopf::MinimallyAugmented::ExtendedGroup for a description of the governing equations).

This class is derived from the LOCA::Hopf::MooreSpence::AbstractGroup and declares several pure virtual methods to compute various derivatives of $w^H C e$ for a given $w = w_1 + i w_2$ and $e = y + i z$ where $C = J + i \omega M$. Default implementations for the derivatives using finite differencing are implemented in the LOCA::Hopf::MinimallyAugmented::FiniteDifferenceGroup.

Member Function Documentation

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::applyComplexTranspose ( const NOX::Abstract::Vector &  input_real,
const NOX::Abstract::Vector &  input_imag,
NOX::Abstract::Vector &  result_real,
NOX::Abstract::Vector &  result_imag 
) const [pure virtual]

Computes conjugate-tranpose matrix vector product $ (J+i\omega M)^H (x + iy) $.

Implemented in LOCA::Abstract::Group, LOCA::Epetra::Group, and LOCA::LAPACK::Group.

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::applyComplexTransposeMultiVector ( const NOX::Abstract::MultiVector &  input_real,
const NOX::Abstract::MultiVector &  input_imag,
NOX::Abstract::MultiVector &  result_real,
NOX::Abstract::MultiVector &  result_imag 
) const [pure virtual]

Computes conjugate-tranpose matrix vector product $ (J+i\omega M)^H (x + iy) $.

Implemented in LOCA::Abstract::Group, LOCA::Epetra::Group, and LOCA::LAPACK::Group.

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