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.
	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.
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.
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_

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 operatorType acting on FEM basis functions for a set of points in the reference Hexahedral cell. For rank and dimensions of I/O array arguments see Section MD array template arguments for basis methods.

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:

/usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_HEX_In_FEM.hpp
/usr/src/RPM/BUILD/trilinos-11.12.1/packages/intrepid/src/Discretization/Basis/Intrepid_HDIV_HEX_In_FEMDef.hpp

Public Member Functions

Private Member Functions

Private Attributes

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 >