/usr/include/trilinos/Intrepid_HDIV_HEX_I1_FEMDef.hpp is in libtrilinos-intrepid-dev 12.4.2-2.
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// ************************************************************************
//
// Intrepid Package
// Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Pavel Bochev (pbboche@sandia.gov)
// Denis Ridzal (dridzal@sandia.gov), or
// Kara Peterson (kjpeter@sandia.gov)
//
// ************************************************************************
// @HEADER
/** \file Intrepid_HDIV_HEX_I1_FEMDef.hpp
\brief Definition file for FEM basis functions of degree 1 for H(div) functions on HEX cells.
\author Created by P. Bochev, D. Ridzal and K. Peterson.
*/
namespace Intrepid {
template<class Scalar, class ArrayScalar>
Basis_HDIV_HEX_I1_FEM<Scalar,ArrayScalar>::Basis_HDIV_HEX_I1_FEM()
{
this -> basisCardinality_ = 6;
this -> basisDegree_ = 1;
this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >() );
this -> basisType_ = BASIS_FEM_DEFAULT;
this -> basisCoordinates_ = COORDINATES_CARTESIAN;
this -> basisTagsAreSet_ = false;
}
template<class Scalar, class ArrayScalar>
void Basis_HDIV_HEX_I1_FEM<Scalar, ArrayScalar>::initializeTags() {
// Basis-dependent intializations
int tagSize = 4; // size of DoF tag
int posScDim = 0; // position in the tag, counting from 0, of the subcell dim
int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
// An array with local DoF tags assigned to basis functions, in the order of their local enumeration
int tags[] = {
2, 0, 0, 1,
2, 1, 0, 1,
2, 2, 0, 1,
2, 3, 0, 1,
2, 4, 0, 1,
2, 5, 0, 1,
};
// Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
this -> ordinalToTag_,
tags,
this -> basisCardinality_,
tagSize,
posScDim,
posScOrd,
posDfOrd);
}
template<class Scalar, class ArrayScalar>
void Basis_HDIV_HEX_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues,
const ArrayScalar & inputPoints,
const EOperator operatorType) const {
// Verify arguments
#ifdef HAVE_INTREPID_DEBUG
Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues,
inputPoints,
operatorType,
this -> getBaseCellTopology(),
this -> getCardinality() );
#endif
// Number of evaluation points = dim 0 of inputPoints
int dim0 = inputPoints.dimension(0);
// Temporaries: (x,y,z) coordinates of the evaluation point
Scalar x = 0.0;
Scalar y = 0.0;
Scalar z = 0.0;
switch (operatorType) {
case OPERATOR_VALUE:
for (int i0 = 0; i0 < dim0; i0++) {
x = inputPoints(i0, 0);
y = inputPoints(i0, 1);
z = inputPoints(i0, 2);
// outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
outputValues(0, i0, 0) = 0.0;
outputValues(0, i0, 1) = (y - 1.0)/8.0;
outputValues(0, i0, 2) = 0.0;
outputValues(1, i0, 0) = (1.0 + x)/8.0;
outputValues(1, i0, 1) = 0.0;
outputValues(1, i0, 2) = 0.0;
outputValues(2, i0, 0) = 0.0;
outputValues(2, i0, 1) = (1.0 + y)/8.0;
outputValues(2, i0, 2) = 0.0;
outputValues(3, i0, 0) = (x - 1.0)/8.0;
outputValues(3, i0, 1) = 0.0;
outputValues(3, i0, 2) = 0.0;
outputValues(4, i0, 0) = 0.0;
outputValues(4, i0, 1) = 0.0;
outputValues(4, i0, 2) = (z - 1.0)/8.0;
outputValues(5, i0, 0) = 0.0;
outputValues(5, i0, 1) = 0.0;
outputValues(5, i0, 2) = (1.0 + z)/8.0;
}
break;
case OPERATOR_DIV:
// outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
for (int i0 = 0; i0 < dim0; i0++) {
outputValues(0, i0) = 0.125;
outputValues(1, i0) = 0.125;
outputValues(2, i0) = 0.125;
outputValues(3, i0) = 0.125;
outputValues(4, i0) = 0.125;
outputValues(5, i0) = 0.125;
}
break;
case OPERATOR_CURL:
TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
">>> ERROR (Basis_HDIV_HEX_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
break;
case OPERATOR_GRAD:
TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
">>> ERROR (Basis_HDIV_HEX_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
break;
case OPERATOR_D1:
case OPERATOR_D2:
case OPERATOR_D3:
case OPERATOR_D4:
case OPERATOR_D5:
case OPERATOR_D6:
case OPERATOR_D7:
case OPERATOR_D8:
case OPERATOR_D9:
case OPERATOR_D10:
TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) ||
(operatorType == OPERATOR_D2) ||
(operatorType == OPERATOR_D3) ||
(operatorType == OPERATOR_D4) ||
(operatorType == OPERATOR_D5) ||
(operatorType == OPERATOR_D6) ||
(operatorType == OPERATOR_D7) ||
(operatorType == OPERATOR_D8) ||
(operatorType == OPERATOR_D9) ||
(operatorType == OPERATOR_D10) ),
std::invalid_argument,
">>> ERROR (Basis_HDIV_HEX_I1_FEM): Invalid operator type");
break;
default:
TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
(operatorType != OPERATOR_GRAD) &&
(operatorType != OPERATOR_CURL) &&
(operatorType != OPERATOR_DIV) &&
(operatorType != OPERATOR_D1) &&
(operatorType != OPERATOR_D2) &&
(operatorType != OPERATOR_D3) &&
(operatorType != OPERATOR_D4) &&
(operatorType != OPERATOR_D5) &&
(operatorType != OPERATOR_D6) &&
(operatorType != OPERATOR_D7) &&
(operatorType != OPERATOR_D8) &&
(operatorType != OPERATOR_D9) &&
(operatorType != OPERATOR_D10) ),
std::invalid_argument,
">>> ERROR (Basis_HDIV_HEX_I1_FEM): Invalid operator type");
}
}
template<class Scalar, class ArrayScalar>
void Basis_HDIV_HEX_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar& outputValues,
const ArrayScalar & inputPoints,
const ArrayScalar & cellVertices,
const EOperator operatorType) const {
TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
">>> ERROR (Basis_HDIV_HEX_I1_FEM): FEM Basis calling an FVD member function");
}
template<class Scalar, class ArrayScalar>
void Basis_HDIV_HEX_I1_FEM<Scalar, ArrayScalar>::getDofCoords(ArrayScalar & DofCoords) const {
#ifdef HAVE_INTREPID_DEBUG
// Verify rank of output array.
TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
">>> ERROR: (Intrepid::Basis_HDIV_HEX_I1_FEM::getDofCoords) rank = 2 required for DofCoords array");
// Verify 0th dimension of output array.
TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
">>> ERROR: (Intrepid::Basis_HDIV_HEX_I1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
// Verify 1st dimension of output array.
TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
">>> ERROR: (Intrepid::Basis_HDIV_HEX_I1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
#endif
DofCoords(0,0) = 0.0; DofCoords(0,1) = -1.0; DofCoords(0,2) = 0.0;
DofCoords(1,0) = 1.0; DofCoords(1,1) = 0.0; DofCoords(1,2) = 0.0;
DofCoords(2,0) = 0.0; DofCoords(2,1) = 1.0; DofCoords(2,2) = 0.0;
DofCoords(3,0) = -1.0; DofCoords(3,1) = 0.0; DofCoords(3,2) = 0.0;
DofCoords(4,0) = 0.0; DofCoords(4,1) = 0.0; DofCoords(4,2) = -1.0;
DofCoords(5,0) = 0.0; DofCoords(5,1) = 0.0; DofCoords(5,2) = 1.0;
}
}// namespace Intrepid
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