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

Implementation of the default H(grad)-compatible FEM basis of degree 2 on Hexahedron cell. More...

#include <Intrepid_HGRAD_HEX_Cn_FEM.hpp>

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

List of all members.

Public Member Functions

 Basis_HGRAD_HEX_Cn_FEM (const int orderx, const int ordery, const int orderz, const ArrayScalar &pts_x, const ArrayScalar &pts_y, const ArrayScalar &pts_z)
 Constructor.
 Basis_HGRAD_HEX_Cn_FEM (const int order, const EPointType &pointType)
 streamlined constructor giving two choices: equispaced lattice points or spectral (i.e. Lobatto)
void getValues (ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
 Evaluation of a FEM basis on a reference Hexahedron 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

void initializeTags ()
 Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.

Private Attributes

Basis_HGRAD_LINE_Cn_FEM
< Scalar, ArrayScalar > 
xBasis_
 basis for x-coordinate basis functions
Basis_HGRAD_LINE_Cn_FEM
< Scalar, ArrayScalar > 
yBasis_
 basis for y-coordinate basis functions
Basis_HGRAD_LINE_Cn_FEM
< Scalar, ArrayScalar > 
zBasis_
 basis for z-coordinate basis functions

Detailed Description

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

Implementation of the default H(grad)-compatible FEM basis of degree 2 on Hexahedron cell.

Implements Lagrangian basis of degree n on the reference Hexahedron cell. The basis has cardinality (n+1)^3 and spans a COMPLETE polynomial space. Basis functions are dual to a unisolvent set of degrees-of-freedom (DoF) defined lexicographically on an array of input points.

Definition at line 57 of file Intrepid_HGRAD_HEX_Cn_FEM.hpp.


Member Function Documentation

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

Evaluation of a FEM basis on a reference Hexahedron cell.

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

Parameters:
outputValues [out] - rank-2 or 3 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 183 of file Intrepid_HGRAD_HEX_Cn_FEMDef.hpp.

References Intrepid::Basis< Scalar, ArrayScalar >::getBaseCellTopology(), Intrepid::Basis< Scalar, ArrayScalar >::getCardinality(), Intrepid::Basis_HGRAD_HEX_Cn_FEM< Scalar, ArrayScalar >::xBasis_, Intrepid::Basis_HGRAD_HEX_Cn_FEM< Scalar, ArrayScalar >::yBasis_, and Intrepid::Basis_HGRAD_HEX_Cn_FEM< Scalar, ArrayScalar >::zBasis_.


The documentation for this class was generated from the following files:
Generated on Mon Jan 31 09:55:53 2011 for Intrepid by  doxygen 1.6.3