Intrepid
Intrepid_HGRAD_TET_C1_FEMDef.hpp
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1#ifndef INTREPID_HGRAD_TET_C1_FEMDEF_HPP
2#define INTREPID_HGRAD_TET_C1_FEMDEF_HPP
3// @HEADER
4// ************************************************************************
5//
6// Intrepid Package
7// Copyright (2007) Sandia Corporation
8//
9// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
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45
51namespace Intrepid {
52
53 template<class Scalar, class ArrayScalar>
55 {
56 this -> basisCardinality_ = 4;
57 this -> basisDegree_ = 1;
58 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Tetrahedron<4> >() );
59 this -> basisType_ = BASIS_FEM_DEFAULT;
60 this -> basisCoordinates_ = COORDINATES_CARTESIAN;
61 this -> basisTagsAreSet_ = false;
62 }
63
64
65template<class Scalar, class ArrayScalar>
67
68 // Basis-dependent intializations
69 int tagSize = 4; // size of DoF tag
70 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim
71 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
72 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
73
74 // An array with local DoF tags assigned to basis functions, in the order of their local enumeration
75 int tags[] = { 0, 0, 0, 1,
76 0, 1, 0, 1,
77 0, 2, 0, 1,
78 0, 3, 0, 1 };
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_HGRAD_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
117 case OPERATOR_VALUE:
118 for (int i0 = 0; i0 < dim0; i0++) {
119 x = inputPoints(i0, 0);
120 y = inputPoints(i0, 1);
121 z = inputPoints(i0, 2);
122
123 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
124 outputValues(0, i0) = 1.0 - x - y -z;
125 outputValues(1, i0) = x;
126 outputValues(2, i0) = y;
127 outputValues(3, i0) = z;
128 }
129 break;
130
131 case OPERATOR_GRAD:
132 case OPERATOR_D1:
133 for (int i0 = 0; i0 < dim0; i0++) {
134
135 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
136 outputValues(0, i0, 0) = -1.0;
137 outputValues(0, i0, 1) = -1.0;
138 outputValues(0, i0, 2) = -1.0;
139
140 outputValues(1, i0, 0) = 1.0;
141 outputValues(1, i0, 1) = 0.0;
142 outputValues(1, i0, 2) = 0.0;
143
144 outputValues(2, i0, 0) = 0.0;
145 outputValues(2, i0, 1) = 1.0;
146 outputValues(2, i0, 2) = 0.0;
147
148 outputValues(3, i0, 0) = 0.0;
149 outputValues(3, i0, 1) = 0.0;
150 outputValues(3, i0, 2) = 1.0;
151 }
152 break;
153
154 case OPERATOR_CURL:
155 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
156 ">>> ERROR (Basis_HGRAD_TET_C1_FEM): CURL is invalid operator for rank-0 (scalar) functions in 3D");
157 break;
158
159 case OPERATOR_DIV:
160 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
161 ">>> ERROR (Basis_HGRAD_TET_C1_FEM): DIV is invalid operator for rank-0 (scalar) functions in 3D");
162 break;
163
164 case OPERATOR_D2:
165 case OPERATOR_D3:
166 case OPERATOR_D4:
167 case OPERATOR_D5:
168 case OPERATOR_D6:
169 case OPERATOR_D7:
170 case OPERATOR_D8:
171 case OPERATOR_D9:
172 case OPERATOR_D10:
173 {
174 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
175 int DkCardinality = Intrepid::getDkCardinality(operatorType,
176 this -> basisCellTopology_.getDimension() );
177 for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
178 for (int i0 = 0; i0 < dim0; i0++) {
179 for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
180 outputValues(dofOrd, i0, dkOrd) = 0.0;
181 }
182 }
183 }
184 }
185 break;
186 default:
187 TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
188 ">>> ERROR (Basis_HGRAD_TET_C1_FEM): Invalid operator type");
189 }
190}
191
192
193
194template<class Scalar, class ArrayScalar>
196 const ArrayScalar & inputPoints,
197 const ArrayScalar & cellVertices,
198 const EOperator operatorType) const {
199 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
200 ">>> ERROR (Basis_HGRAD_TET_C1_FEM): FEM Basis calling an FVD member function");
201}
202
203
204
205template<class Scalar, class ArrayScalar>
207#ifdef HAVE_INTREPID_DEBUG
208 // Verify rank of output array.
209 TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument,
210 ">>> ERROR: (Intrepid::Basis_HGRAD_TET_C1_FEM::getDofCoords) rank = 2 required for DofCoords array");
211 // Verify 0th dimension of output array.
212 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument,
213 ">>> ERROR: (Intrepid::Basis_HGRAD_TET_C1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array");
214 // Verify 1st dimension of output array.
215 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument,
216 ">>> ERROR: (Intrepid::Basis_HGRAD_TET_C1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array");
217#endif
218
219 DofCoords(0,0) = 0.0; DofCoords(0,1) = 0.0; DofCoords(0,2) = 0.0;
220 DofCoords(1,0) = 1.0; DofCoords(1,1) = 0.0; DofCoords(1,2) = 0.0;
221 DofCoords(2,0) = 0.0; DofCoords(2,1) = 1.0; DofCoords(2,2) = 0.0;
222 DofCoords(3,0) = 0.0; DofCoords(3,1) = 0.0; DofCoords(3,2) = 1.0;
223}
224
225}// namespace Intrepid
226#endif
int isValidOperator(const EOperator operatorType)
Verifies validity of an operator enum.
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.
int getDkCardinality(const EOperator operatorType, const int spaceDim)
Returns cardinality of Dk, i.e., the number of all derivatives of order k.
void initializeTags()
Initializes tagToOrdinal_ and ordinalToTag_ lookup arrays.
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
FEM basis evaluation on a reference Tetrahedron cell.
void getDofCoords(ArrayScalar &DofCoords) const
Returns spatial locations (coordinates) of degrees of freedom on a reference Tetrahedron.