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

#include <LOCA_Hopf_MinimallyAugmented_AbstractGroup.H>

Inheritance diagram for LOCA::Hopf::MinimallyAugmented::AbstractGroup:

Collaboration diagram for LOCA::Hopf::MinimallyAugmented::AbstractGroup:

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 std::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 $\partial w^H C e/\partial p$ , , , $C = J + i \omega M$ .
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 $\frac{\partial w^H C e}{\partial x}$ , , , $C = J + i \omega M$ .

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

Referenced by LOCA::DerivUtils::computeDwtCeDx().

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

Referenced by LOCA::BorderedSolver::ComplexOperator::applyTranspose().

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

LOCA_Hopf_MinimallyAugmented_AbstractGroup.H

Public Member Functions

Detailed Description

Member Function Documentation