Intrepid
Intrepid_HDIV_QUAD_I1_FEMDef.hpp
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43
49namespace Intrepid {
50
51template<class Scalar, class ArrayScalar>
53 {
54 this -> basisCardinality_ = 4;
55 this -> basisDegree_ = 1;
56 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Quadrilateral<4> >() );
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 };
78
79 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
80 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
81 this -> ordinalToTag_,
82 tags,
83 this -> basisCardinality_,
84 tagSize,
85 posScDim,
86 posScOrd,
87 posDfOrd);
88}
89
90
91
92template<class Scalar, class ArrayScalar>
94 const ArrayScalar & inputPoints,
95 const EOperator operatorType) const {
96
97// Verify arguments
98#ifdef HAVE_INTREPID_DEBUG
99 Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues,
100 inputPoints,
101 operatorType,
102 this -> getBaseCellTopology(),
103 this -> getCardinality() );
104#endif
105
106 // Number of evaluation points = dim 0 of inputPoints
107 int dim0 = inputPoints.dimension(0);
108
109 // Temporaries: (x,y) coordinates of the evaluation point
110 Scalar x = 0.0;
111 Scalar y = 0.0;
112
113 switch (operatorType) {
114 case OPERATOR_VALUE:
115 for (int i0 = 0; i0 < dim0; i0++) {
116 x = inputPoints(i0, 0);
117 y = inputPoints(i0, 1);
118
119 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
120 outputValues(0, i0, 0) = 0.0;
121 outputValues(0, i0, 1) = (y - 1.0)/4.0;
122
123 outputValues(1, i0, 0) = (1.0 + x)/4.0;
124 outputValues(1, i0, 1) = 0.0;
125
126 outputValues(2, i0, 0) = 0.0;
127 outputValues(2, i0, 1) = (1.0 + y)/4.0;
128
129 outputValues(3, i0, 0) = (x - 1.0)/4.0;
130 outputValues(3, i0, 1) = 0.0;
131 }
132 break;
133
134 case OPERATOR_DIV:
135 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
136 for (int i0 = 0; i0 < dim0; i0++) {
137 outputValues(0, i0) = 0.25;
138 outputValues(1, i0) = 0.25;
139 outputValues(2, i0) = 0.25;
140 outputValues(3, i0) = 0.25;
141 }
142 break;
143
144 case OPERATOR_CURL:
145 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
146 ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): CURL is invalid operator for HDIV Basis Functions");
147 break;
148
149 case OPERATOR_GRAD:
150 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument,
151 ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): GRAD is invalid operator for HDIV Basis Functions");
152 break;
153
154 case OPERATOR_D1:
155 case OPERATOR_D2:
156 case OPERATOR_D3:
157 case OPERATOR_D4:
158 case OPERATOR_D5:
159 case OPERATOR_D6:
160 case OPERATOR_D7:
161 case OPERATOR_D8:
162 case OPERATOR_D9:
163 case OPERATOR_D10:
164 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) ||
165 (operatorType == OPERATOR_D2) ||
166 (operatorType == OPERATOR_D3) ||
167 (operatorType == OPERATOR_D4) ||
168 (operatorType == OPERATOR_D5) ||
169 (operatorType == OPERATOR_D6) ||
170 (operatorType == OPERATOR_D7) ||
171 (operatorType == OPERATOR_D8) ||
172 (operatorType == OPERATOR_D9) ||
173 (operatorType == OPERATOR_D10) ),
174 std::invalid_argument,
175 ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
176 break;
177
178 default:
179 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) &&
180 (operatorType != OPERATOR_GRAD) &&
181 (operatorType != OPERATOR_CURL) &&
182 (operatorType != OPERATOR_DIV) &&
183 (operatorType != OPERATOR_D1) &&
184 (operatorType != OPERATOR_D2) &&
185 (operatorType != OPERATOR_D3) &&
186 (operatorType != OPERATOR_D4) &&
187 (operatorType != OPERATOR_D5) &&
188 (operatorType != OPERATOR_D6) &&
189 (operatorType != OPERATOR_D7) &&
190 (operatorType != OPERATOR_D8) &&
191 (operatorType != OPERATOR_D9) &&
192 (operatorType != OPERATOR_D10) ),
193 std::invalid_argument,
194 ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): Invalid operator type");
195 }
196}
197
198
199
200template<class Scalar, class ArrayScalar>
202 const ArrayScalar & inputPoints,
203 const ArrayScalar & cellVertices,
204 const EOperator operatorType) const {
205 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
206 ">>> ERROR (Basis_HDIV_QUAD_I1_FEM): FEM Basis calling an FVD member function");
207}
208
209}// 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 getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Quadrilateral cell.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.