Intrepid
Intrepid_HCURL_WEDGE_I1_FEMDef.hpp
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43
49namespace Intrepid {
50
51template<class Scalar, class ArrayScalar>
53 {
54 this -> basisCardinality_ = 9;
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 1, 0, 0, 1,
74 1, 1, 0, 1,
75 1, 2, 0, 1,
76 1, 3, 0, 1,
77 1, 4, 0, 1,
78 1, 5, 0, 1,
79 1, 6, 0, 1,
80 1, 7, 0, 1,
81 1, 8, 0, 1 };
82
83 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
84 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
85 this -> ordinalToTag_,
86 tags,
87 this -> basisCardinality_,
88 tagSize,
89 posScDim,
90 posScOrd,
91 posDfOrd);
92}
93
94
95
96template<class Scalar, class ArrayScalar>
98 const ArrayScalar & inputPoints,
99 const EOperator operatorType) const {
100
101// Verify arguments
102#ifdef HAVE_INTREPID_DEBUG
103 Intrepid::getValues_HCURL_Args<Scalar, ArrayScalar>(outputValues,
104 inputPoints,
105 operatorType,
106 this -> getBaseCellTopology(),
107 this -> getCardinality() );
108#endif
109
110 // Number of evaluation points = dim 0 of inputPoints
111 int dim0 = inputPoints.dimension(0);
112
113 // Temporaries: (x,y,z) coordinates of the evaluation point
114 Scalar x = 0.0;
115 Scalar y = 0.0;
116 Scalar z = 0.0;
117
118 switch (operatorType) {
119 case OPERATOR_VALUE:
120 for (int i0 = 0; i0 < dim0; i0++) {
121 x = inputPoints(i0, 0);
122 y = inputPoints(i0, 1);
123 z = inputPoints(i0, 2);
124
125 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
126 outputValues(0, i0, 0) = (1.0 - z)*(1.0 - y)/2.0;
127 outputValues(0, i0, 1) = x*(1.0 - z)/2.0;
128 outputValues(0, i0, 2) = 0.0;
129
130 outputValues(1, i0, 0) = y*(z - 1.0)/2.0;
131 outputValues(1, i0, 1) = x*(1.0 - z)/2.0;
132 outputValues(1, i0, 2) = 0.0;
133
134 outputValues(2, i0, 0) = y*(z - 1.0)/2.0;
135 outputValues(2, i0, 1) = (1.0 - x)*(z - 1.0)/2.0;
136 outputValues(2, i0, 2) = 0.0;
137
138 outputValues(3, i0, 0) = (1.0 - y)*(1.0 + z)/2.0;
139 outputValues(3, i0, 1) = x*(1.0 + z)/2.0;
140 outputValues(3, i0, 2) = 0.0;
141
142 outputValues(4, i0, 0) =-y*(1.0 + z)/2.0;
143 outputValues(4, i0, 1) = x*(1.0 + z)/2.0;
144 outputValues(4, i0, 2) = 0.0;
145
146 outputValues(5, i0, 0) = -y*(1.0 + z)/2.0;
147 outputValues(5, i0, 1) = (x - 1.0)*(1.0 + z)/2.0;
148 outputValues(5, i0, 2) = 0.0;
149
150 outputValues(6, i0, 0) = 0.0;
151 outputValues(6, i0, 1) = 0.0;
152 outputValues(6, i0, 2) = (1.0 - x - y)/2.0;
153
154 outputValues(7, i0, 0) = 0.0;
155 outputValues(7, i0, 1) = 0.0;
156 outputValues(7, i0, 2) = x/2.0;
157
158 outputValues(8, i0, 0) = 0.0;
159 outputValues(8, i0, 1) = 0.0;
160 outputValues(8, i0, 2) = y/2.0;
161
162 }
163 break;
164
165 case OPERATOR_CURL:
166 for (int i0 = 0; i0 < dim0; i0++) {
167 x = inputPoints(i0, 0);
168 y = inputPoints(i0, 1);
169 z = inputPoints(i0, 2);
170
171 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
172 outputValues(0, i0, 0) = x/2.0;
173 outputValues(0, i0, 1) = (y - 1.0)/2.0;
174 outputValues(0, i0, 2) = 1.0 - z;
175
176 outputValues(1, i0, 0) = x/2.0;
177 outputValues(1, i0, 1) = y/2.0;
178 outputValues(1, i0, 2) = 1.0 - z;
179
180 outputValues(2, i0, 0) = (x - 1.0)/2.0;
181 outputValues(2, i0, 1) = y/2.0;
182 outputValues(2, i0, 2) = 1.0 - z;
183
184 outputValues(3, i0, 0) = -x/2.0;
185 outputValues(3, i0, 1) = (1.0 - y)/2.0;
186 outputValues(3, i0, 2) = 1.0 + z;
187
188 outputValues(4, i0, 0) = -x/2.0;
189 outputValues(4, i0, 1) = -y/2.0;
190 outputValues(4, i0, 2) = 1.0 + z;
191
192 outputValues(5, i0, 0) = (1.0 - x)/2.0;
193 outputValues(5, i0, 1) = -y/2.0;
194 outputValues(5, i0, 2) = 1.0 + z;
195
196 outputValues(6, i0, 0) =-0.5;
197 outputValues(6, i0, 1) = 0.5;
198 outputValues(6, i0, 2) = 0.0;
199
200 outputValues(7, i0, 0) = 0.0;
201 outputValues(7, i0, 1) =-0.5;
202 outputValues(7, i0, 2) = 0.0;
203
204 outputValues(8, i0, 0) = 0.5;
205 outputValues(8, i0, 1) = 0.0;
206 outputValues(8, i0, 2) = 0.0;
207 }
208 break;
209
210 case OPERATOR_DIV:
211 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
212 ">>> ERROR (Basis_HCURL_WEDGE_I1_FEM): DIV is invalid operator for HCURL Basis Functions");
213 break;
214
215 case OPERATOR_GRAD:
216 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
217 ">>> ERROR (Basis_HCURL_WEDGE_I1_FEM): GRAD is invalid operator for HCURL Basis Functions");
218 break;
219
220 case OPERATOR_D1:
221 case OPERATOR_D2:
222 case OPERATOR_D3:
223 case OPERATOR_D4:
224 case OPERATOR_D5:
225 case OPERATOR_D6:
226 case OPERATOR_D7:
227 case OPERATOR_D8:
228 case OPERATOR_D9:
229 case OPERATOR_D10:
230 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) ||
231 (operatorType == OPERATOR_D2) ||
232 (operatorType == OPERATOR_D3) ||
233 (operatorType == OPERATOR_D4) ||
234 (operatorType == OPERATOR_D5) ||
235 (operatorType == OPERATOR_D6) ||
236 (operatorType == OPERATOR_D7) ||
237 (operatorType == OPERATOR_D8) ||
238 (operatorType == OPERATOR_D9) ||
239 (operatorType == OPERATOR_D10) ),
240 std::invalid_argument,
241 ">>> ERROR (Basis_HCURL_WEDGE_I1_FEM): Invalid operator type");
242 break;
243
244 default:
245 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
246 (operatorType != OPERATOR_GRAD) &&
247 (operatorType != OPERATOR_CURL) &&
248 (operatorType != OPERATOR_DIV) &&
249 (operatorType != OPERATOR_D1) &&
250 (operatorType != OPERATOR_D2) &&
251 (operatorType != OPERATOR_D3) &&
252 (operatorType != OPERATOR_D4) &&
253 (operatorType != OPERATOR_D5) &&
254 (operatorType != OPERATOR_D6) &&
255 (operatorType != OPERATOR_D7) &&
256 (operatorType != OPERATOR_D8) &&
257 (operatorType != OPERATOR_D9) &&
258 (operatorType != OPERATOR_D10) ),
259 std::invalid_argument,
260 ">>> ERROR (Basis_HCURL_WEDGE_I1_FEM): Invalid operator type");
261 }
262}
263
264
265
266template<class Scalar, class ArrayScalar>
268 const ArrayScalar & inputPoints,
269 const ArrayScalar & cellVertices,
270 const EOperator operatorType) const {
271 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
272 ">>> ERROR (Basis_HCURL_WEDGE_I1_FEM): FEM Basis calling an FVD member function");
273 }
274
275}// 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.