Interface to underlying groups for Hopf point calculations using the Moore-Spence formulation. More...

#include <LOCA_Hopf_MooreSpence_AbstractGroup.H>

Inheritance diagram for LOCA::Hopf::MooreSpence::AbstractGroup:

Collaboration diagram for LOCA::Hopf::MooreSpence::AbstractGroup:

Public Member Functions
	AbstractGroup ()
	Default constructor.
virtual	~AbstractGroup ()
	Destructor.
Pure virtual methods
These methods must be defined by any concrete implementation
virtual bool	isComplex () const =0
	Is $J+i\omega B$ valid.
virtual NOX::Abstract::Group::ReturnType	computeComplex (double frequency)=0
	Compute $J+i\omega B$ .
virtual NOX::Abstract::Group::ReturnType	applyComplex (const NOX::Abstract::Vector &input_real, const NOX::Abstract::Vector &input_imag, NOX::Abstract::Vector &result_real, NOX::Abstract::Vector &result_imag) const =0
	Compute $(J+i\omega B)(y+iz)$ .
virtual NOX::Abstract::Group::ReturnType	applyComplexMultiVector (const NOX::Abstract::MultiVector &input_real, const NOX::Abstract::MultiVector &input_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag) const =0
	Compute $(J+i\omega B)(y+iz)$ .
virtual NOX::Abstract::Group::ReturnType	applyComplexInverseMultiVector (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 $(J+i\omega B)(y+iz) = a+ib$ .
virtual NOX::Abstract::Group::ReturnType	computeDCeDp (const std::vector< int > &paramIDs, const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag, bool isValid)=0
	Computes the derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial p}$ where is the parameter indexed by paramIDs.
virtual NOX::Abstract::Group::ReturnType	computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)=0
	Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction .
virtual NOX::Abstract::Group::ReturnType	computeDCeDxa (const NOX::Abstract::Vector &yVector, const NOX::Abstract::Vector &zVector, double w, const NOX::Abstract::MultiVector &aVector, const NOX::Abstract::Vector &Ce_real, const NOX::Abstract::Vector &Ce_imag, NOX::Abstract::MultiVector &result_real, NOX::Abstract::MultiVector &result_imag)=0
	Computes the directional derivative $\frac{\partial (J+i\omega B)(y+iz)}{\partial x} a$ for the given direction . The arguments Ce_real and Ce_imag hold the real and imaginary components of $(J+i\omega B)(y+iz)$ .

Detailed Description

Interface to underlying groups for Hopf point calculations using the Moore-Spence formulation.

This abstract class provides the required interface for underlying groups to locate Hopf bifurcations using the bordering algorithm for the Moore-Spence Hopf fomulation (see LOCA::Hopf::MooreSpence::ExtendedGroup for a description of the governing equations).

This class is derived from the LOCA::TurningPoint::MooreSpence::AbstractGroup and LOCa::TimeDependent::AbstractGroup and declares several pure virtual methods for applying, solving, and computing derivatives of the complex matrix $J+i\omega B$ where $J$ is the Jacobian matrix, $B$ is the mass matrix, and $\omega$ is a (real) scalar.

Member Function Documentation

virtual NOX::Abstract::Group::ReturnType LOCA::Hopf::MooreSpence::AbstractGroup::computeComplex ( double frequency ) [pure virtual]

Compute $J+i\omega B$ .

The argument frequency stores $\omega$ .

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

Referenced by LOCA::DerivUtils::computeDCeDp(), LOCA::DerivUtils::computeDCeDxa(), LOCA::DerivUtils::computeDwtCeDp(), and LOCA::DerivUtils::computeDwtCeDx().

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

LOCA_Hopf_MooreSpence_AbstractGroup.H

Public Member Functions

Detailed Description

Member Function Documentation