Intrepid
Intrepid_HCURL_TRI_I1_FEMDef.hpp
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43
49namespace Intrepid {
50
51template<class Scalar, class ArrayScalar>
53 {
54 this -> basisCardinality_ = 3;
55 this -> basisDegree_ = 1;
56 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() );
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
77 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
78 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
79 this -> ordinalToTag_,
80 tags,
81 this -> basisCardinality_,
82 tagSize,
83 posScDim,
84 posScOrd,
85 posDfOrd);
86}
87
88
89
90template<class Scalar, class ArrayScalar>
92 const ArrayScalar & inputPoints,
93 const EOperator operatorType) const {
94
95// Verify arguments
96#ifdef HAVE_INTREPID_DEBUG
97 Intrepid::getValues_HCURL_Args<Scalar, ArrayScalar>(outputValues,
98 inputPoints,
99 operatorType,
100 this -> getBaseCellTopology(),
101 this -> getCardinality() );
102#endif
103
104 // Number of evaluation points = dim 0 of inputPoints
105 int dim0 = inputPoints.dimension(0);
106
107 // Temporaries: (x,y) coordinates of the evaluation point
108 Scalar x = 0.0;
109 Scalar y = 0.0;
110
111 switch (operatorType) {
112 case OPERATOR_VALUE:
113 for (int i0 = 0; i0 < dim0; i0++) {
114 x = inputPoints(i0, 0);
115 y = inputPoints(i0, 1);
116
117 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
118 outputValues(0, i0, 0) = 1.0 - y;
119 outputValues(0, i0, 1) = x;
120
121 outputValues(1, i0, 0) = -y;
122 outputValues(1, i0, 1) = x;
123
124 outputValues(2, i0, 0) = -y;
125 outputValues(2, i0, 1) = -1.0 + x;
126 }
127 break;
128
129 case OPERATOR_CURL:
130 for (int i0 = 0; i0 < dim0; i0++) {
131 x = inputPoints(i0, 0);
132 y = inputPoints(i0, 1);
133
134 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
135 outputValues(0, i0) = 2.0;
136 outputValues(1, i0) = 2.0;
137 outputValues(2, i0) = 2.0;
138 }
139 break;
140
141 case OPERATOR_DIV:
142 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
143 ">>> ERROR (Basis_HCURL_TRI_I1_FEM): DIV is invalid operator for HCURL Basis Functions");
144 break;
145
146 case OPERATOR_GRAD:
147 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
148 ">>> ERROR (Basis_HCURL_TRI_I1_FEM): GRAD is invalid operator for HCURL Basis Functions");
149 break;
150
151 case OPERATOR_D1:
152 case OPERATOR_D2:
153 case OPERATOR_D3:
154 case OPERATOR_D4:
155 case OPERATOR_D5:
156 case OPERATOR_D6:
157 case OPERATOR_D7:
158 case OPERATOR_D8:
159 case OPERATOR_D9:
160 case OPERATOR_D10:
161 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) ||
162 (operatorType == OPERATOR_D2) ||
163 (operatorType == OPERATOR_D3) ||
164 (operatorType == OPERATOR_D4) ||
165 (operatorType == OPERATOR_D5) ||
166 (operatorType == OPERATOR_D6) ||
167 (operatorType == OPERATOR_D7) ||
168 (operatorType == OPERATOR_D8) ||
169 (operatorType == OPERATOR_D9) ||
170 (operatorType == OPERATOR_D10) ),
171 std::invalid_argument,
172 ">>> ERROR (Basis_HCURL_TRI_I1_FEM): Invalid operator type");
173 break;
174
175 default:
176 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
177 (operatorType != OPERATOR_GRAD) &&
178 (operatorType != OPERATOR_CURL) &&
179 (operatorType != OPERATOR_DIV) &&
180 (operatorType != OPERATOR_D1) &&
181 (operatorType != OPERATOR_D2) &&
182 (operatorType != OPERATOR_D3) &&
183 (operatorType != OPERATOR_D4) &&
184 (operatorType != OPERATOR_D5) &&
185 (operatorType != OPERATOR_D6) &&
186 (operatorType != OPERATOR_D7) &&
187 (operatorType != OPERATOR_D8) &&
188 (operatorType != OPERATOR_D9) &&
189 (operatorType != OPERATOR_D10) ),
190 std::invalid_argument,
191 ">>> ERROR (Basis_HCURL_TRI_I1_FEM): Invalid operator type");
192 }
193}
194
195
196
197template<class Scalar, class ArrayScalar>
199 const ArrayScalar & inputPoints,
200 const ArrayScalar & cellVertices,
201 const EOperator operatorType) const {
202 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
203 ">>> ERROR (Basis_HCURL_TRI_I1_FEM): FEM Basis calling an FVD member function");
204 }
205
206template<class Scalar, class ArrayScalar>
208#ifdef HAVE_INTREPID_DEBUG
209 // Verify rank of output array.
210 TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
211 ">>> ERROR: (Intrepid::Basis_HCURL_TRI_I1_FEM::getDofCoords) rank = 2 required for DofCoords array");
212 // Verify 0th dimension of output array.
213 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
214 ">>> ERROR: (Intrepid::Basis_HCURL_TRI_I1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
215 // Verify 1st dimension of output array.
216 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
217 ">>> ERROR: (Intrepid::Basis_HCURL_TRI_I1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
218#endif
219
220 DofCoords(0,0) = 0.5; DofCoords(0,1) = 0.0;
221 DofCoords(1,0) = 0.5; DofCoords(1,1) = 0.5;
222 DofCoords(2,0) = 0.0; DofCoords(2,1) = 0.5;
223}
224
225
226}// 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 Triangle cell.
void getDofCoords(ArrayScalar &DofCoords) const
Returns spatial locations (coordinates) of degrees of freedom on a reference Triangle.