Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar > Class Template Reference

Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedron cell. The lowest order instance starts with n. Implements the nodal basis of degree n the reference Tetrahedron cell. The basis has cardinality n(n+1)(n+3)/2 and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined and enumerated as follows:. More...

#include <Intrepid_HDIV_TET_In_FEM.hpp>

Inheritance diagram for Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >:
Intrepid::Basis< Scalar, ArrayScalar >

List of all members.

Public Member Functions

 Basis_HDIV_TET_In_FEM (const int n, const EPointType pointType)
 Constructor.
void getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
 Evaluation of a FEM basis on a reference Tetrahedron 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.

Private Member Functions

virtual void initializeTags ()
 Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.

Private Attributes

Basis_HGRAD_TET_Cn_FEM_ORTH
< Scalar, FieldContainer
< Scalar > > 
Phis_
 Orthogonal basis out of which the nodal basis is constructed.
FieldContainer< Scalar > coeffs_
 expansion coefficients of the nodal basis in terms of the orthgonal one

Detailed Description

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

Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedron cell. The lowest order instance starts with n. Implements the nodal basis of degree n the reference Tetrahedron cell. The basis has cardinality n(n+1)(n+3)/2 and spans an INCOMPLETE polynomial space of degree n. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined and enumerated as follows:.

If the pointType argument to the constructor specifies equispaced points, then the face and interior points will be equispaced. If the pointType argument specifies warp-blend points, the interior of a warp-blend lattice will be used on each face and also for the cell interior.

Definition at line 78 of file Intrepid_HDIV_TET_In_FEM.hpp.


Member Function Documentation

template<class Scalar , class ArrayScalar >
void Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >::getValues ( ArrayScalar &  outputValues,
const ArrayScalar &  inputPoints,
const EOperator  operatorType 
) const [inline, virtual]

Evaluation of a FEM basis on a reference Tetrahedron cell.

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

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 269 of file Intrepid_HDIV_TET_In_FEMDef.hpp.

References Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >::coeffs_, Intrepid::Basis< Scalar, ArrayScalar >::getBaseCellTopology(), Intrepid::Basis< Scalar, ArrayScalar >::getCardinality(), Intrepid::Basis< Scalar, ArrayScalar >::getDegree(), Intrepid::Basis_HGRAD_TET_Cn_FEM_ORTH< Scalar, ArrayScalar >::getValues(), and Intrepid::Basis_HDIV_TET_In_FEM< Scalar, ArrayScalar >::Phis_.

Referenced by main().


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

Generated on Tue Oct 20 15:10:07 2009 for Intrepid by  doxygen 1.6.1