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>

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

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

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.

Definition at line 76 of file LOCA_Hopf_MinimallyAugmented_AbstractGroup.H.

Constructor & Destructor Documentation

LOCA::Hopf::MinimallyAugmented::AbstractGroup::AbstractGroup ( ) [inline]

Default constructor.

Reimplemented from LOCA::Hopf::MooreSpence::AbstractGroup.

Definition at line 82 of file LOCA_Hopf_MinimallyAugmented_AbstractGroup.H.

virtual LOCA::Hopf::MinimallyAugmented::AbstractGroup::~AbstractGroup ( ) [inline, virtual]

Destructor.

Reimplemented from LOCA::Hopf::MooreSpence::AbstractGroup.

Definition at line 85 of file LOCA_Hopf_MinimallyAugmented_AbstractGroup.H.

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

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::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 `[pure virtual]`

Solve $(J+i\omega M)^H (x + iy) = a+ib$ .

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

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::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
	)			`[pure virtual]`

Computes the derivative $\partial w^H C e/\partial p$ , $w = w_1 + i w_2$ , $e = y + i z$ , $C = J + i \omega M$ .

Implemented in LOCA::Hopf::MinimallyAugmented::FiniteDifferenceGroup.

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MinimallyAugmented::AbstractGroup::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
	)			`[pure virtual]`

Computes the derivative $\frac{\partial w^H C e}{\partial x}$ , $w = w_1 + i w_2$ , $e = y + i z$ , $C = J + i \omega M$ .

Implemented in LOCA::Hopf::MinimallyAugmented::FiniteDifferenceGroup.

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

LOCA_Hopf_MinimallyAugmented_AbstractGroup.H


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