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// ************************************************************************
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// Intrepid Package
// Copyright (2007) Sandia Corporation
//
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// documentation and/or other materials provided with the distribution.
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// 3. Neither the name of the Corporation nor the names of the
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// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
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// Denis Ridzal (dridzal@sandia.gov), or
// Kara Peterson (kjpeter@sandia.gov)
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/** \file Intrepid_HGRAD_HEX_Cn_FEM.hpp
\brief Header file for the Intrepid::HGRAD_HEX_Cn_FEM class.
\author Created by P. Bochev and D. Ridzal.
*/
#ifndef INTREPID_HGRAD_HEX_Cn_FEM_HPP
#define INTREPID_HGRAD_HEX_Cn_FEM_HPP
#include "Intrepid_Basis.hpp"
#include "Intrepid_ProductTopology.hpp"
#include "Intrepid_HGRAD_LINE_Cn_FEM.hpp"
#include "Teuchos_Array.hpp"
#include "Intrepid_TensorBasis.hpp"
namespace Intrepid {
/** \class Intrepid::Basis_HGRAD_HEX_Cn_FEM
\brief 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.
\endverbatim
*/
template<class Scalar, class ArrayScalar>
class Basis_HGRAD_HEX_Cn_FEM :
public TensorBasis<Scalar, ArrayScalar> ,
public DofCoordsInterface<ArrayScalar>
{
private:
FieldContainer<double> ptsx_;
FieldContainer<double> ptsy_;
FieldContainer<double> ptsz_;
/** \brief Initializes <var>tagToOrdinal_</var> and <var>ordinalToTag_</var> lookup arrays.
*/
void initializeTags();
public:
/** \brief Destructor.
*/
virtual ~Basis_HGRAD_HEX_Cn_FEM( ) {;}
/** \brief Constructor.
*/
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 );
/** \brief streamlined constructor giving two choices: equispaced
lattice points or spectral (i.e. Lobatto) */
Basis_HGRAD_HEX_Cn_FEM( const int order , const EPointType & pointType );
/** \brief Evaluation of a FEM basis on a <strong>reference Hexahedron</strong> cell.
Returns values of <var>operatorType</var> acting on FEM basis functions for a set of
points in the <strong>reference Hexahedron</strong> cell. For rank and dimensions of
I/O array arguments see Section \ref basis_md_array_sec.
\param outputValues [out] - rank-2 or 3 array with the computed basis values
\param inputPoints [in] - rank-2 array with dimensions (P,D) containing reference points
\param operatorType [in] - operator applied to basis functions
*/
void getValues(ArrayScalar & outputValues,
const ArrayScalar & inputPoints,
const EOperator operatorType) const;
/** \brief FVD basis evaluation: invocation of this method throws an exception.
*/
void getValues(ArrayScalar & outputValues,
const ArrayScalar & inputPoints,
const ArrayScalar & cellVertices,
const EOperator operatorType = OPERATOR_VALUE) const;
/** \brief implement the DofCoordsInterface interface */
virtual void getDofCoords( ArrayScalar & DofCoords) const;
};
}// namespace Intrepid
#include "Intrepid_HGRAD_HEX_Cn_FEMDef.hpp"
#endif
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