Sundance::FeketeQuadrature Class Reference

Inheritance diagram for Sundance::FeketeQuadrature:

List of all members.

Public Member Functions
	FeketeQuadrature (int order)
virtual	~FeketeQuadrature ()
virtual XMLObject	toXML () const
virtual std::string	description () const
Handleable interface
bool	_hasBasisCoeffs
Array< double >	_basisCoeffs
virtual void	getLineRule (Array< Point > &quadPoints, Array< double > &quadWeights) const
virtual void	getTriangleRule (Array< Point > &quadPoints, Array< double > &quadWeights) const
virtual void	getQuadRule (Array< Point > &quadPoints, Array< double > &quadWeights) const
virtual void	getBrickRule (Array< Point > &quadPoints, Array< double > &quadWeights) const
virtual void	getAdaptedWeights (const CellType &cellType, int cellDim, int cellLID, int facetIndex, const Mesh &mesh, const ParametrizedCurve &globalCurve, Array< Point > &quadPoints, Array< double > &quadWeights, bool &weightsChanged) const
virtual void	getAdaptedTriangleWeights (int cellLID, const Mesh &mesh, const ParametrizedCurve &globalCurve, Array< Point > &quadPoints, Array< double > &quadWeights, bool &weightsChanged) const
virtual void	getAdaptedQuadWeights (int cellLID, const Mesh &mesh, const ParametrizedCurve &globalCurve, Array< Point > &quadPoints, Array< double > &quadWeights, bool &weightsChanged) const
virtual void	integrateRegion (const CellType &cellType, int cellDim, const int innerOrder, const Point &x, const Point &xref, const Point &vec1, const Point &vec2, const Point &vec1ref, const Point &vec2ref, const ParametrizedCurve &curve, Array< double > &integrals) const
virtual void	evaluateAllBasisFunctions (const CellType cellType, const Point &q, Array< double > &result) const

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Detailed Description

Family of Fekete approach integration rules, suitable for integration over arbitrary regions (For tensor elements the Gauss-Lobatto points are Fekete points)

Definition at line 48 of file SundanceFeketeQuadrature.hpp.

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Constructor & Destructor Documentation

FeketeQuadrature::FeketeQuadrature

(

int

order

)

Definition at line 52 of file SundanceFeketeQuadrature.cpp.

References _hasBasisCoeffs.

virtual Sundance::FeketeQuadrature::~FeketeQuadrature

(

)

[inline, virtual]

Definition at line 55 of file SundanceFeketeQuadrature.hpp.

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Member Function Documentation

virtual std::string Sundance::FeketeQuadrature::description

(

)

const [inline, virtual]

Describable interface

Reimplemented from Sundance::QuadratureFamilyStub.

Definition at line 62 of file SundanceFeketeQuadrature.hpp.

References Sundance::QuadratureFamilyStub::order(), and Sundance::toString().

void FeketeQuadrature::evaluateAllBasisFunctions	(	const CellType	cellType,
		const Point &	q,
		Array< double > &	result
	)			const [protected, virtual]

Definition at line 779 of file SundanceFeketeQuadrature.cpp.

References _basisCoeffs, _hasBasisCoeffs, Sundance::FeketeQuadQuadrature::computeBasisCoeffs(), Sundance::FeketeTriangleQuadrature::computeBasisCoeffs(), dgemv_(), Sundance::FeketeTriangleQuadrature::evalPKDpolynomials(), Sundance::FeketeQuadQuadrature::evalPolynomials(), Sundance::QuadratureFamilyStub::order(), Sundance::QuadCell, SUNDANCE_ERROR, and Sundance::TriangleCell.

Referenced by integrateRegion().

void FeketeQuadrature::getAdaptedQuadWeights	(	int	cellLID,
		const Mesh &	mesh,
		const ParametrizedCurve &	globalCurve,
		Array< Point > &	quadPoints,
		Array< double > &	quadWeights,
		bool &	weightsChanged
	)			const [protected, virtual]

Definition at line 396 of file SundanceFeketeQuadrature.cpp.

References integrateRegion(), Sundance::QuadratureFamilyStub::order(), Playa::Out::os(), Sundance::Mesh::pushForward(), Sundance::QuadCell, Sundance::Mesh::setSpecialWeight(), SUNDANCE_MSG3, and Sundance::writeTable().

Referenced by getAdaptedWeights().

void FeketeQuadrature::getAdaptedTriangleWeights	(	int	cellLID,
		const Mesh &	mesh,
		const ParametrizedCurve &	globalCurve,
		Array< Point > &	quadPoints,
		Array< double > &	quadWeights,
		bool &	weightsChanged
	)			const [protected, virtual]

Definition at line 209 of file SundanceFeketeQuadrature.cpp.

References integrateRegion(), Sundance::QuadratureFamilyStub::order(), Sundance::Mesh::pushForward(), Sundance::Mesh::setSpecialWeight(), SUNDANCE_MSG3, and Sundance::TriangleCell.

Referenced by getAdaptedWeights().

void FeketeQuadrature::getAdaptedWeights	(	const CellType &	cellType,
		int	cellDim,
		int	cellLID,
		int	facetIndex,
		const Mesh &	mesh,
		const ParametrizedCurve &	globalCurve,
		Array< Point > &	quadPoints,
		Array< double > &	quadWeights,
		bool &	weightsChanged
	)			const [protected, virtual]

Compute adapted weights according to curve

Parameters:

	cellType
	cellDim
	cellLID
	facetIndex
	mesh
	globalCurve
	quadPoints
	quadWeights
	changedWeights

Reimplemented from Sundance::QuadratureFamilyBase.

Definition at line 136 of file SundanceFeketeQuadrature.cpp.

References Sundance::Mesh::cellType(), getAdaptedQuadWeights(), getAdaptedTriangleWeights(), Sundance::QuadCell, Sundance::Mesh::spatialDim(), SUNDANCE_ERROR, and Sundance::TriangleCell.

void FeketeQuadrature::getBrickRule	(	Array< Point > &	quadPoints,
		Array< double > &	quadWeights
	)			const [protected, virtual]

compute a rule for the reference brick cell

Reimplemented from Sundance::QuadratureFamilyBase.

Definition at line 118 of file SundanceFeketeQuadrature.cpp.

References Sundance::QuadratureFamilyBase::getPoints(), and Sundance::QuadratureFamilyStub::order().

void FeketeQuadrature::getLineRule	(	Array< Point > &	quadPoints,
		Array< double > &	quadWeights
	)			const [protected, virtual]

compute a rule for the reference line cell

Reimplemented from Sundance::QuadratureFamilyBase.

Definition at line 65 of file SundanceFeketeQuadrature.cpp.

References Sundance::GaussLobatto1D::nodes(), Sundance::QuadratureFamilyStub::order(), and Sundance::GaussLobatto1D::weights().

void FeketeQuadrature::getQuadRule	(	Array< Point > &	quadPoints,
		Array< double > &	quadWeights
	)			const [protected, virtual]

compute a rule for the reference quad cell

Reimplemented from Sundance::QuadratureFamilyBase.

Definition at line 101 of file SundanceFeketeQuadrature.cpp.

References Sundance::QuadratureFamilyBase::getPoints(), and Sundance::QuadratureFamilyStub::order().

void FeketeQuadrature::getTriangleRule	(	Array< Point > &	quadPoints,
		Array< double > &	quadWeights
	)			const [protected, virtual]

compute a rule for the reference triangle cell

Reimplemented from Sundance::QuadratureFamilyBase.

Definition at line 84 of file SundanceFeketeQuadrature.cpp.

References Sundance::QuadratureFamilyBase::getPoints(), and Sundance::QuadratureFamilyStub::order().

void FeketeQuadrature::integrateRegion	(	const CellType &	cellType,
		int	cellDim,
		const int	innerOrder,
		const Point &	x,
		const Point &	xref,
		const Point &	vec1,
		const Point &	vec2,
		const Point &	vec1ref,
		const Point &	vec2ref,
		const ParametrizedCurve &	curve,
		Array< double > &	integrals
	)			const [protected, virtual]

Definition at line 605 of file SundanceFeketeQuadrature.cpp.

References evaluateAllBasisFunctions(), Sundance::GaussLobatto1D::nodes(), Sundance::QuadratureFamilyStub::order(), Sundance::QuadCell, Sundance::Point::resize(), SUNDANCE_ERROR, SUNDANCE_MSG3, Sundance::TriangleCell, and Sundance::GaussLobatto1D::weights().

Referenced by getAdaptedQuadWeights(), and getAdaptedTriangleWeights().

XMLObject FeketeQuadrature::toXML

(

)

const [virtual]

Reimplemented from Sundance::QuadratureFamilyStub.

Definition at line 58 of file SundanceFeketeQuadrature.cpp.

References Sundance::QuadratureFamilyStub::order(), and Teuchos::toString().

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Member Data Documentation

Array<double> Sundance::FeketeQuadrature::_basisCoeffs [mutable, private]

Definition at line 127 of file SundanceFeketeQuadrature.hpp.

Referenced by evaluateAllBasisFunctions().

bool Sundance::FeketeQuadrature::_hasBasisCoeffs [mutable, private]

Definition at line 126 of file SundanceFeketeQuadrature.hpp.

Referenced by evaluateAllBasisFunctions(), and FeketeQuadrature().