Implementation of the default H(grad)-compatible orthogonal basis (Dubiner) of arbitrary degree on triangle. More...

#include <Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp>

Inheritance diagram for Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >:

Public Member Functions
	Basis_HGRAD_TRI_Cn_FEM_ORTH (int degree)
	Constructor. More...

void	getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
	Evaluation of a FEM basis on a reference Triangle cell. More...

void	getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const ArrayScalar &cellVertices, const EOperator operatorType=OPERATOR_VALUE) const
	FVD basis evaluation: invocation of this method throws an exception.

Public Member Functions inherited from Intrepid::Basis< Scalar, ArrayScalar >
virtual	~Basis ()
	Destructor.

virtual int	getCardinality () const
	Returns cardinality of the basis. More...

virtual int	getDegree () const
	Returns the degree of the basis. More...

virtual const shards::CellTopology	getBaseCellTopology () const
	Returns the base cell topology for which the basis is defined. See Shards documentation http://trilinos.sandia.gov/packages/shards for definition of base cell topology. More...

virtual EBasis	getBasisType () const
	Returns the basis type. More...

virtual ECoordinates	getCoordinateSystem () const
	Returns the type of coordinate system for which the basis is defined. More...

virtual int	getDofOrdinal (const int subcDim, const int subcOrd, const int subcDofOrd)
	DoF tag to ordinal lookup. More...

virtual const std::vector < std::vector< std::vector < int > > > &	getDofOrdinalData ()
	DoF tag to ordinal data structure.

virtual const std::vector< int > &	getDofTag (const int dofOrd)
	DoF ordinal to DoF tag lookup. More...

virtual const std::vector < std::vector< int > > &	getAllDofTags ()
	Retrieves all DoF tags. More...

Private Member Functions
void	initializeTags ()
	Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.

Additional Inherited Members
Protected Attributes inherited from Intrepid::Basis< Scalar, ArrayScalar >
int	basisCardinality_
	Cardinality of the basis, i.e., the number of basis functions/degrees-of-freedom.

int	basisDegree_
	Degree of the largest complete polynomial space that can be represented by the basis.

shards::CellTopology	basisCellTopology_
	Base topology of the cells for which the basis is defined. See the Shards package http://trilinos.sandia.gov/packages/shards for definition of base cell topology.

EBasis	basisType_
	Type of the basis.

ECoordinates	basisCoordinates_
	The coordinate system for which the basis is defined.

bool	basisTagsAreSet_
	"true" if tagToOrdinal_ and ordinalToTag_ have been initialized

std::vector< std::vector< int > >	ordinalToTag_
	DoF ordinal to tag lookup table. More...

std::vector< std::vector < std::vector< int > > >	tagToOrdinal_
	DoF tag to ordinal lookup table. More...

Detailed Description

template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >

Implementation of the default H(grad)-compatible orthogonal basis (Dubiner) of arbitrary degree on triangle.

Remarks

All degrees of freedom are considered to be internal (ie not assembled)

Definition at line 66 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp.

Constructor & Destructor Documentation

template<class Scalar , class ArrayScalar >

Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >::Basis_HGRAD_TRI_Cn_FEM_ORTH ( int degree )

Constructor.

Parameters

degree [in] - the degree of polynomials contained in the basis.

Definition at line 55 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp.

Member Function Documentation

template<class Scalar , class ArrayScalar>

void Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >::getValues	(	ArrayScalar &	outputValues,
		const ArrayScalar &	inputPoints,
		const EOperator	operatorType
	)		const

virtual

Evaluation of a FEM basis on a reference Triangle cell.

    Returns values of <var>operatorType</var> acting on FEM basis functions for a set of
    points in the <strong>reference Triangle</strong> cell. For rank and dimensions of
    I/O array arguments see Section \ref basis_md_array_sec .

Parameters

outputValues	[out] - variable rank array with the basis values
inputPoints	[in] - rank-2 array (P,D) with the evaluation points
operatorType	[in] - the operator acting on the basis functions

Implements Intrepid::Basis< Scalar, ArrayScalar >.

Definition at line 99 of file Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp.

Referenced by main().

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

http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp
http://docs.trilinos.org/dev/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp

Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

template<class Scalar, class ArrayScalar> class Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >

Constructor & Destructor Documentation

Member Function Documentation

template<class Scalar, class ArrayScalar>
class Intrepid::Basis_HGRAD_TRI_Cn_FEM_ORTH< Scalar, ArrayScalar >