Inheritance diagram for Sundance::Lagrange:

Public Member Functions
	Lagrange (int order)
bool	supportsCellTypePair (const CellType &maximalCellType, const CellType &cellType) const
	Inform caller as to whether a given cell type is supported.
void	print (std::ostream &os) const
int	order () const
int	nReferenceDOFsWithoutFacets (const CellType &maximalCellType, const CellType &cellType) const
void	getReferenceDOFs (const CellType &maximalCellType, const CellType &cellType, Array< Array< Array< int > > > &dofs) const
void	refEval (const CellType &cellType, const Array< Point > &pts, const SpatialDerivSpecifier &deriv, Array< Array< Array< double > > > &result, int verbosity=0) const
void	getConstrainsForHNDoF (const int indexInParent, const int maxCellDim, const int maxNrChild, const int facetDim, const int facetIndex, const int nodeIndex, Array< int > &localDoFs, Array< int > &parentFacetDim, Array< int > &parentFacetIndex, Array< int > &parentFacetNode, Array< double > &coefs)
Handleable interface
int	order_
bool	doFInfromationCalculated_
Array< int >	facetD_
Array< int >	facetI_
Array< int >	facetN_
std::string	description () const
static Array< int >	makeRange (int low, int high)
void	evalOnLine (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnTriangle (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnquad (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnTet (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnBrick (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	returnDoFPositionOnRef (const int maxCellDim, const int facetDim, const int facetIndex, const int nodeIndex, Point &pos) const
void	getDoFsOrdered (const CellType maxCellDim, int nrDoF, Array< int > &facetD, Array< int > &facetI, Array< int > &facetN)

Detailed Description

Lagrange basis

Definition at line 54 of file SundanceLagrange.hpp.

Constructor & Destructor Documentation

Lagrange::Lagrange ( int order )

Definition at line 56 of file SundanceLagrange.cpp.

Member Function Documentation

std::string Sundance::Lagrange::description ( ) const [inline]

Definition at line 113 of file SundanceLagrange.hpp.

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

void Lagrange::evalOnBrick	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const `[private]`

evaluate on a tet cell

Definition at line 639 of file SundanceLagrange.cpp.

References Sundance::MultiIndex::firstOrderDirection(), Sundance::MultiIndex::order(), order_, SUNDANCE_ERROR, and Sundance::value.

Referenced by refEval().

void Lagrange::evalOnLine	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const `[private]`

evaluate on a line cell

Definition at line 371 of file SundanceLagrange.cpp.

References order(), Sundance::MultiIndex::order(), order_, and Sundance::value.

Referenced by refEval().

void Lagrange::evalOnquad	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const `[private]`

evaluate on a quad cell

Definition at line 517 of file SundanceLagrange.cpp.

References Sundance::MultiIndex::firstOrderDirection(), Sundance::gradient(), Sundance::MultiIndex::order(), order_, SUNDANCE_OUT, Sundance::value, Sundance::ADReal::value(), and Playa::ObjectWithVerbosity::verb().

Referenced by refEval().

void Lagrange::evalOnTet	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const `[private]`

evaluate on a tet cell

Definition at line 582 of file SundanceLagrange.cpp.

References Sundance::MultiIndex::firstOrderDirection(), Sundance::MultiIndex::order(), order_, SUNDANCE_ERROR, and Sundance::value.

Referenced by refEval().

void Lagrange::evalOnTriangle	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const `[private]`

evaluate on a triangle cell

Definition at line 439 of file SundanceLagrange.cpp.

References Sundance::MultiIndex::firstOrderDirection(), Sundance::gradient(), Sundance::MultiIndex::order(), order_, SUNDANCE_ERROR, SUNDANCE_OUT, Sundance::value, Sundance::ADReal::value(), and Playa::ObjectWithVerbosity::verb().

Referenced by refEval().

void Lagrange::getConstrainsForHNDoF	(	const int	indexInParent,
		const int	maxCellDim,
		const int	maxNrChild,
		const int	facetDim,
		const int	facetIndex,
		const int	nodeIndex,
		Array< int > &	localDoFs,
		Array< int > &	parentFacetDim,
		Array< int > &	parentFacetIndex,
		Array< int > &	parentFacetNode,
		Array< double > &	coefs
	)		`[virtual]`

constraints for hanging DoFs

Reimplemented from Sundance::BasisReferenceEvaluationBase.

Definition at line 943 of file SundanceLagrange.cpp.

References Sundance::BrickCell, doFInfromationCalculated_, facetD_, facetI_, facetN_, getDoFsOrdered(), Sundance::QuadCell, refEval(), returnDoFPositionOnRef(), SUNDANCE_OUT, and Playa::ObjectWithVerbosity::verb().

void Lagrange::getDoFsOrdered	(	const CellType	maxCellDim,
		int	nrDoF,
		Array< int > &	facetD,
		Array< int > &	facetI,
		Array< int > &	facetN
	)		`[private]`

This method calls the "getReferenceDOFs" method and then for each DoF extracts the facet dimension, facet index and node in 3 different array
This method could be used for general purpose for other basis, where HN is possible

Parameters:

maxCellDim	[in]
nrDoF	[in] nr of DoF for this element
facetD	[out]
facetI	[out]
facetN	[out]

Definition at line 1232 of file SundanceLagrange.cpp.

References getReferenceDOFs(), SUNDANCE_OUT, and Playa::ObjectWithVerbosity::verb().

Referenced by getConstrainsForHNDoF().

void Lagrange::getReferenceDOFs	(	const CellType &	maximalCellType,
		const CellType &	cellType,
		Array< Array< Array< int > > > &	dofs
	)		const `[virtual]`

Implements Sundance::BasisDOFTopologyBase.

Definition at line 179 of file SundanceLagrange.cpp.

References Sundance::BrickCell, Sundance::ScalarBasis::dim(), Sundance::dimension(), Sundance::LineCell, makeRange(), Sundance::numFacets(), order(), order_, Sundance::PointCell, Sundance::QuadCell, Sundance::TetCell, and Sundance::TriangleCell.

Referenced by getDoFsOrdered().

Array< int > Lagrange::makeRange	(	int	low,
		int	high
	)		`[static, private]`

Definition at line 302 of file SundanceLagrange.cpp.

Referenced by getReferenceDOFs().

int Lagrange::nReferenceDOFsWithoutFacets	(	const CellType &	maximalCellType,
		const CellType &	cellType
	)		const `[virtual]`

return the number of nodes for this basis on the given cell type

Implements Sundance::BasisDOFTopologyBase.

Definition at line 131 of file SundanceLagrange.cpp.

References Sundance::BrickCell, Sundance::LineCell, order_, Sundance::PointCell, Sundance::QuadCell, Sundance::TetCell, and Sundance::TriangleCell.

int Sundance::Lagrange::order ( ) const [inline, virtual]

Implements Sundance::BasisFamilyBase.

Definition at line 72 of file SundanceLagrange.hpp.

References order_.

Referenced by description(), evalOnLine(), Sundance::ExprFieldWrapper::ExprFieldWrapper(), getReferenceDOFs(), Sundance::DOFMapBuilder::hasCellBasis(), Sundance::DOFMapBuilder::hasNodalBasis(), and returnDoFPositionOnRef().

void Lagrange::print ( std::ostream & os ) const [virtual]

Implements Playa::Printable.

Definition at line 126 of file SundanceLagrange.cpp.

References order_.

void Lagrange::refEval	(	const CellType &	cellType,
		const Array< Point > &	pts,
		const SpatialDerivSpecifier &	deriv,
		Array< Array< Array< double > > > &	result,
		int	verbosity = `0`
	)		const `[virtual]`

Implements Sundance::BasisReferenceEvaluationBase.

Definition at line 311 of file SundanceLagrange.cpp.

References Sundance::BrickCell, evalOnBrick(), evalOnLine(), evalOnquad(), evalOnTet(), evalOnTriangle(), Sundance::SpatialDerivSpecifier::isIdentity(), Sundance::SpatialDerivSpecifier::isPartial(), Sundance::LineCell, Sundance::SpatialDerivSpecifier::mi(), Sundance::PointCell, Sundance::QuadCell, Sundance::TetCell, and Sundance::TriangleCell.

Referenced by getConstrainsForHNDoF().

void Lagrange::returnDoFPositionOnRef	(	const int	maxCellDim,
		const int	facetDim,
		const int	facetIndex,
		const int	nodeIndex,
		Point &	pos
	)		const `[private]`

get the exact position one DoF on the Ref Element this is needed for the treatment of hanging nodes

Parameters:

maxCellDim	[in] the MaxCell dim of this element
facetDim	[in] the facet dim which the DoF is on
facetIndex	[in] the facet index which the DoF is on
nodeIndex	[in] the node index of the DoF
pos	[out] the position of the DoF