/usr/include/trilinos/Intrepid_HGRAD_TRI_C2_FEMDef.hpp is in libtrilinos-intrepid-dev 12.4.2-2.
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#define INTREPID_HGRAD_TRI_C2_FEMDEF_HPP
// @HEADER
// ************************************************************************
//
// 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
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// 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
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// 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_HGRAD_TRI_C2_FEM_Def.hpp
\brief Definition file for FEM basis functions of degree 2 for H(grad) functions on TRI.
\author Created by P. Bochev and D. Ridzal.
*/
namespace Intrepid {
template<class Scalar, class ArrayScalar>
Basis_HGRAD_TRI_C2_FEM<Scalar,ArrayScalar>::Basis_HGRAD_TRI_C2_FEM()
{
this -> basisCardinality_ = 6;
this -> basisDegree_ = 2;
this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() );
this -> basisType_ = BASIS_FEM_DEFAULT;
this -> basisCoordinates_ = COORDINATES_CARTESIAN;
this -> basisTagsAreSet_ = false;
}
template<class Scalar, class ArrayScalar>
void Basis_HGRAD_TRI_C2_FEM<Scalar, ArrayScalar>::initializeTags() {
// Basis-dependent initializations
int tagSize = 4; // size of DoF tag, i.e., number of fields in the 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 the basis functions, in the order of their local enumeration
int tags[] = { 0, 0, 0, 1,
0, 1, 0, 1,
0, 2, 0, 1,
1, 0, 0, 1,
1, 1, 0, 1,
1, 2, 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_HGRAD_TRI_C2_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues,
const ArrayScalar & inputPoints,
const EOperator operatorType) const {
// Verify arguments
#ifdef HAVE_INTREPID_DEBUG
Intrepid::getValues_HGRAD_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) coordinates of the evaluation point
Scalar x = 0.0;
Scalar y = 0.0;
switch (operatorType) {
case OPERATOR_VALUE:
for (int i0 = 0; i0 < dim0; i0++) {
x = inputPoints(i0, 0);
y = inputPoints(i0, 1);
// outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
outputValues(0, i0) = (x + y - 1.0)*(2.0*x + 2.0*y - 1.0);
outputValues(1, i0) = x*(2.0*x - 1.0);
outputValues(2, i0) = y*(2.0*y - 1.0);
outputValues(3, i0) = -4.0*x*(x + y - 1.0);
outputValues(4, i0) = 4.0*x*y;
outputValues(5, i0) = -4.0*y*(x + y - 1.0);
}
break;
case OPERATOR_GRAD:
case OPERATOR_D1:
for (int i0 = 0; i0 < dim0; i0++) {
x = inputPoints(i0, 0);
y = inputPoints(i0, 1);
// outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
outputValues(0, i0, 0) = 4.0*x + 4.0*y - 3.0;
outputValues(0, i0, 1) = 4.0*x + 4.0*y - 3.0;
outputValues(1, i0, 0) = 4.0*x - 1.0;
outputValues(1, i0, 1) = 0.0;
outputValues(2, i0, 0) = 0.0;
outputValues(2, i0, 1) = 4.0*y - 1.0;
outputValues(3, i0, 0) = -4.0*(2.0*x + y - 1.0);
outputValues(3, i0, 1) = -4.0*x;
outputValues(4, i0, 0) = 4.0*y;
outputValues(4, i0, 1) = 4.0*x;
outputValues(5, i0, 0) = -4.0*y;
outputValues(5, i0, 1) = -4.0*(x + 2.0*y - 1.0);
}
break;
case OPERATOR_CURL:
for (int i0 = 0; i0 < dim0; i0++) {
x = inputPoints(i0, 0);
y = inputPoints(i0, 1);
// CURL(u) = (u_y, -u_x), is rotated GRAD
outputValues(0, i0, 1) =-(4.0*x + 4.0*y - 3.0);
outputValues(0, i0, 0) = 4.0*x + 4.0*y - 3.0;
outputValues(1, i0, 1) =-(4.0*x - 1.0);
outputValues(1, i0, 0) = 0.0;
outputValues(2, i0, 1) = 0.0;
outputValues(2, i0, 0) = 4.0*y - 1.0;
outputValues(3, i0, 1) = 4.0*(2.0*x + y - 1.0);
outputValues(3, i0, 0) = -4.0*x;
outputValues(4, i0, 1) = -4.0*y;
outputValues(4, i0, 0) = 4.0*x;
outputValues(5, i0, 1) = 4.0*y;
outputValues(5, i0, 0) = -4.0*(x + 2.0*y - 1.0);
}
break;
case OPERATOR_DIV:
TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
">>> ERROR (Basis_HGRAD_TRI_C2_FEM): DIV is invalid operator for rank-0 (scalar) fields in 2D.");
break;
case OPERATOR_D2:
for (int i0 = 0; i0 < dim0; i0++) {
// outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
// D2 -> (2,0) -> dx^2.
outputValues(0, i0, 0) = 4.0;
outputValues(1, i0, 0) = 4.0;
outputValues(2, i0, 0) = 0.0;
outputValues(3, i0, 0) =-8.0;
outputValues(4, i0, 0) = 0.0;
outputValues(5, i0, 0) = 0.0;
// D2 -> (1,1) -> dx dy
outputValues(0, i0, 1) = 4.0;
outputValues(1, i0, 1) = 0.0;
outputValues(2, i0, 1) = 0.0;
outputValues(3, i0, 1) =-4.0;
outputValues(4, i0, 1) = 4.0;
outputValues(5, i0, 1) =-4.0;
// D2 -> (0,2) -> dy^2
outputValues(0, i0, 2) = 4.0;
outputValues(1, i0, 2) = 0.0;
outputValues(2, i0, 2) = 4.0;
outputValues(3, i0, 2) = 0.0;
outputValues(4, i0, 2) = 0.0;
outputValues(5, i0, 2) =-8.0;
}// for i0
break;
case OPERATOR_D3:
case OPERATOR_D4:
case OPERATOR_D5:
case OPERATOR_D6:
case OPERATOR_D7:
case OPERATOR_D8:
case OPERATOR_D9:
case OPERATOR_D10:
{
// outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
int DkCardinality = Intrepid::getDkCardinality(operatorType,
this -> basisCellTopology_.getDimension() );
for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
for (int i0 = 0; i0 < dim0; i0++) {
for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
outputValues(dofOrd, i0, dkOrd) = 0.0;
}
}
}
}
break;
default:
TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
">>> ERROR (Basis_HGRAD_TRI_C2_FEM): Invalid operator type");
}
}
template<class Scalar, class ArrayScalar>
void Basis_HGRAD_TRI_C2_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_HGRAD_TRI_C2_FEM): FEM Basis calling an FVD member function");
}
}// namespace Intrepid
#endif
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