Intrepid
Intrepid_HDIV_WEDGE_I1_FEMDef.hpp
Go to the documentation of this file.
1// @HEADER
2// ************************************************************************
3//
4// Intrepid Package
5// Copyright (2007) Sandia Corporation
6//
7// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
8// license for use of this work by or on behalf of the U.S. Government.
9//
10// Redistribution and use in source and binary forms, with or without
11// modification, are permitted provided that the following conditions are
12// met:
13//
14// 1. Redistributions of source code must retain the above copyright
15// notice, this list of conditions and the following disclaimer.
16//
17// 2. Redistributions in binary form must reproduce the above copyright
18// notice, this list of conditions and the following disclaimer in the
19// documentation and/or other materials provided with the distribution.
20//
21// 3. Neither the name of the Corporation nor the names of the
22// contributors may be used to endorse or promote products derived from
23// this software without specific prior written permission.
24//
25// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
26// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
27// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
28// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
29// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
30// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
31// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
32// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
33// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
34// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
35// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36//
37// Questions? Contact Pavel Bochev (pbboche@sandia.gov)
38// Denis Ridzal (dridzal@sandia.gov), or
39// Kara Peterson (kjpeter@sandia.gov)
40//
41// ************************************************************************
42// @HEADER
43
49namespace Intrepid {
50
51template<class Scalar, class ArrayScalar>
53 {
54 this -> basisCardinality_ = 5;
55 this -> basisDegree_ = 1;
56 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Wedge<6> >() );
57 this -> basisType_ = BASIS_FEM_DEFAULT;
58 this -> basisCoordinates_ = COORDINATES_CARTESIAN;
59 this -> basisTagsAreSet_ = false;
60 }
61
62template<class Scalar, class ArrayScalar>
64
65 // Basis-dependent intializations
66 int tagSize = 4; // size of DoF tag
67 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim
68 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
69 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
70
71 // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
72 int tags[] = {
73 2, 0, 0, 1,
74 2, 1, 0, 1,
75 2, 2, 0, 1,
76 2, 3, 0, 1,
77 2, 4, 0, 1
78 };
79
80 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
81 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
82 this -> ordinalToTag_,
83 tags,
84 this -> basisCardinality_,
85 tagSize,
86 posScDim,
87 posScOrd,
88 posDfOrd);
89}
90
91
92
93template<class Scalar, class ArrayScalar>
95 const ArrayScalar & inputPoints,
96 const EOperator operatorType) const {
97
98// Verify arguments
99#ifdef HAVE_INTREPID_DEBUG
100 Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues,
101 inputPoints,
102 operatorType,
103 this -> getBaseCellTopology(),
104 this -> getCardinality() );
105#endif
106
107 // Number of evaluation points = dim 0 of inputPoints
108 int dim0 = inputPoints.dimension(0);
109
110 // Temporaries: (x,y,z) coordinates of the evaluation point
111 Scalar x = 0.0;
112 Scalar y = 0.0;
113 Scalar z = 0.0;
114
115 switch (operatorType) {
116 case OPERATOR_VALUE:
117 for (int i0 = 0; i0 < dim0; i0++) {
118 x = inputPoints(i0, 0);
119 y = inputPoints(i0, 1);
120 z = inputPoints(i0, 2);
121
122 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
123 outputValues(0, i0, 0) = x/2.0;
124 outputValues(0, i0, 1) = (y - 1.0)/2.0;
125 outputValues(0, i0, 2) = 0.0;
126
127 outputValues(1, i0, 0) = x/2.0;
128 outputValues(1, i0, 1) = y/2.0;
129 outputValues(1, i0, 2) = 0.0;
130
131 outputValues(2, i0, 0) = (x - 1.0)/2.0;
132 outputValues(2, i0, 1) = y/2.0;
133 outputValues(2, i0, 2) = 0.0;
134
135 outputValues(3, i0, 0) = 0.0;
136 outputValues(3, i0, 1) = 0.0;
137 outputValues(3, i0, 2) = z - 1.0;
138
139 outputValues(4, i0, 0) = 0.0;
140 outputValues(4, i0, 1) = 0.0;
141 outputValues(4, i0, 2) = 1.0 + z;
142 }
143 break;
144
145 case OPERATOR_DIV:
146 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
147 for (int i0 = 0; i0 < dim0; i0++) {
148 outputValues(0, i0) = 1.0;
149 outputValues(1, i0) = 1.0;
150 outputValues(2, i0) = 1.0;
151 outputValues(3, i0) = 1.0;
152 outputValues(4, i0) = 1.0;
153 }
154 break;
155
156 case OPERATOR_CURL:
157 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
158 ">>> ERROR (Basis_HDIV_WEDGE_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
159 break;
160
161 case OPERATOR_GRAD:
162 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
163 ">>> ERROR (Basis_HDIV_WEDGE_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
164 break;
165
166 case OPERATOR_D1:
167 case OPERATOR_D2:
168 case OPERATOR_D3:
169 case OPERATOR_D4:
170 case OPERATOR_D5:
171 case OPERATOR_D6:
172 case OPERATOR_D7:
173 case OPERATOR_D8:
174 case OPERATOR_D9:
175 case OPERATOR_D10:
176 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) ||
177 (operatorType == OPERATOR_D2) ||
178 (operatorType == OPERATOR_D3) ||
179 (operatorType == OPERATOR_D4) ||
180 (operatorType == OPERATOR_D5) ||
181 (operatorType == OPERATOR_D6) ||
182 (operatorType == OPERATOR_D7) ||
183 (operatorType == OPERATOR_D8) ||
184 (operatorType == OPERATOR_D9) ||
185 (operatorType == OPERATOR_D10) ),
186 std::invalid_argument,
187 ">>> ERROR (Basis_HDIV_WEDGE_I1_FEM): Invalid operator type");
188 break;
189
190 default:
191 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
192 (operatorType != OPERATOR_GRAD) &&
193 (operatorType != OPERATOR_CURL) &&
194 (operatorType != OPERATOR_DIV) &&
195 (operatorType != OPERATOR_D1) &&
196 (operatorType != OPERATOR_D2) &&
197 (operatorType != OPERATOR_D3) &&
198 (operatorType != OPERATOR_D4) &&
199 (operatorType != OPERATOR_D5) &&
200 (operatorType != OPERATOR_D6) &&
201 (operatorType != OPERATOR_D7) &&
202 (operatorType != OPERATOR_D8) &&
203 (operatorType != OPERATOR_D9) &&
204 (operatorType != OPERATOR_D10) ),
205 std::invalid_argument,
206 ">>> ERROR (Basis_HDIV_WEDGE_I1_FEM): Invalid operator type");
207 }
208}
209
210
211
212template<class Scalar, class ArrayScalar>
214 const ArrayScalar & inputPoints,
215 const ArrayScalar & cellVertices,
216 const EOperator operatorType) const {
217 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
218 ">>> ERROR (Basis_HDIV_WEDGE_I1_FEM): FEM Basis calling an FVD member function");
219 }
220
221}// namespace Intrepid
void setOrdinalTagData(std::vector< std::vector< std::vector< int > > > &tagToOrdinal, std::vector< std::vector< int > > &ordinalToTag, const int *tags, const int basisCard, const int tagSize, const int posScDim, const int posScOrd, const int posDfOrd)
Fills ordinalToTag_ and tagToOrdinal_ by basis-specific tag data.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Wedge cell.