Implementation of the default H(div)-compatible FEM basis of degree 1 on Hexahedral cell. More...

#include <Intrepid_HDIV_HEX_In_FEM.hpp>

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

Public Member Functions
virtual	~Basis_HDIV_HEX_In_FEM ()
	Destructor.

	Basis_HDIV_HEX_In_FEM (int order, const ArrayScalar &ptsClosed, const ArrayScalar &ptsOpen)
	Constructor. More...

	Basis_HDIV_HEX_In_FEM (int order, const EPointType &pointType)
	Streamlined constructor that allows user to request equispaced points or Gauss-Lobatto cross with Gauss-Legendre points in each vector component.

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

virtual void	getDofCoords (ArrayScalar &DofCoords) const
	Returns spatial locations (coordinates) of degrees of freedom on a reference cell; defined for interpolatory bases. More...

Public Member Functions inherited from Intrepid::TensorBasis< Scalar, ArrayScalar >
Array< Array< RCP< Basis < Scalar, ArrayScalar > > > > &	getBases ()

virtual	~TensorBasis ()
	Destructor.

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...

Public Member Functions inherited from Intrepid::DofCoordsInterface< ArrayScalar >
virtual	~DofCoordsInterface ()=0
	Pure virtual destructor (gives warnings if not included). Following "Effective C++: 3rd Ed." item 7 the implementation is included in the definition file.

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

Private Attributes
Basis_HGRAD_LINE_Cn_FEM < Scalar, ArrayScalar >	closedBasis_

Basis_HGRAD_LINE_Cn_FEM < Scalar, ArrayScalar >	openBasis_

FieldContainer< double >	closedPts_

FieldContainer< double >	openPts_

Additional Inherited Members
Protected Member Functions inherited from Intrepid::TensorBasis< Scalar, ArrayScalar >
void	setBases (Array< Array< RCP< Basis< Scalar, ArrayScalar > > > > &bases)

Protected Attributes inherited from Intrepid::TensorBasis< Scalar, ArrayScalar >
Array< Array< RCP< Basis < Scalar, ArrayScalar > > > >	bases_

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_HDIV_HEX_In_FEM< Scalar, ArrayScalar >

Implementation of the default H(div)-compatible FEM basis of degree 1 on Hexahedral cell.

      Implements Raviart-Thomas basis of degree n on the reference Hexahedral cell. The basis has
      cardinality 3(n+1)n^2 and spans a INCOMPLETE polynomial space.

Definition at line 70 of file Intrepid_HDIV_HEX_In_FEM.hpp.

Constructor & Destructor Documentation

template<class Scalar , class ArrayScalar >

Intrepid::Basis_HDIV_HEX_In_FEM< Scalar, ArrayScalar >::Basis_HDIV_HEX_In_FEM	(	int	order,
		const ArrayScalar &	ptsClosed,
		const ArrayScalar &	ptsOpen
	)

Constructor.

Parameters

order	[in] - order of polynomial space
ptsClosed	[in] - pts that include the endpoints, used in the direction of normal continuity
ptsOpen	[in] - used in "off" direction

Definition at line 52 of file Intrepid_HDIV_HEX_In_FEMDef.hpp.

References Intrepid::Basis< Scalar, ArrayScalar >::basisCardinality_, Intrepid::Basis< Scalar, ArrayScalar >::basisCellTopology_, Intrepid::Basis< Scalar, ArrayScalar >::basisCoordinates_, Intrepid::Basis< Scalar, ArrayScalar >::basisDegree_, Intrepid::Basis< Scalar, ArrayScalar >::basisTagsAreSet_, and Intrepid::Basis< Scalar, ArrayScalar >::basisType_.

Member Function Documentation

template<class Scalar , class ArrayScalar >

void Intrepid::Basis_HDIV_HEX_In_FEM< Scalar, ArrayScalar >::getDofCoords ( ArrayScalar & DofCoords ) const

virtual

Returns spatial locations (coordinates) of degrees of freedom on a reference cell; defined for interpolatory bases.

Parameters

DofCoords [out] - array with the coordinates of degrees of freedom, dimensioned (F,D)

Implements Intrepid::DofCoordsInterface< ArrayScalar >.

Definition at line 482 of file Intrepid_HDIV_HEX_In_FEMDef.hpp.

template<class Scalar , class ArrayScalar >

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

virtual

Evaluation of a FEM basis on a reference Hexahedral cell.

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

Parameters

outputValues	[out] - rank-3 or 4 array with the computed basis values
inputPoints	[in] - rank-2 array with dimensions (P,D) containing reference points
operatorType	[in] - operator applied to basis functions

Implements Intrepid::Basis< Scalar, ArrayScalar >.

Definition at line 270 of file Intrepid_HDIV_HEX_In_FEMDef.hpp.

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

http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_HEX_In_FEM.hpp
http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_HEX_In_FEMDef.hpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

Member Function Documentation

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