Public Member Functions | Private Member Functions | Private Attributes
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::TensorBasis< Scalar, ArrayScalar > Intrepid::DofCoordsInterface< ArrayScalar > Intrepid::Basis< Scalar, ArrayScalar >

List of all members.

Public Member Functions

virtual ~Basis_HGRAD_HEX_Cn_FEM ()
 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)
 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.
virtual void getDofCoords (ArrayScalar &DofCoords) const
 implement the DofCoordsInterface interface

Private Member Functions

void initializeTags ()
 Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.

Private Attributes

FieldContainer< double > ptsx_
FieldContainer< double > ptsy_
FieldContainer< double > ptsz_

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 72 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 [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.

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 249 of file Intrepid_HGRAD_HEX_Cn_FEMDef.hpp.

References Intrepid::Basis< Scalar, ArrayScalar >::getCardinality(), and Intrepid::Basis< Scalar, ArrayScalar >::getValues().

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