Intrepid
Intrepid_HGRAD_PYR_I2_FEMDef.hpp
Go to the documentation of this file.
1#ifndef INTREPID_HGRAD_PYR_I2_FEMDEF_HPP
2#define INTREPID_HGRAD_PYR_I2_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
10// license for use of this work by or on behalf of the U.S. Government.
11//
12// Redistribution and use in source and binary forms, with or without
13// modification, are permitted provided that the following conditions are
14// met:
15//
16// 1. Redistributions of source code must retain the above copyright
17// notice, this list of conditions and the following disclaimer.
18//
19// 2. Redistributions in binary form must reproduce the above copyright
20// notice, this list of conditions and the following disclaimer in the
21// documentation and/or other materials provided with the distribution.
22//
23// 3. Neither the name of the Corporation nor the names of the
24// contributors may be used to endorse or promote products derived from
25// this software without specific prior written permission.
26//
27// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
28// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
29// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
30// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
31// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
32// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
33// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
34// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
35// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
36// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
37// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
38//
39// Questions? Contact Pavel Bochev (pbboche@sandia.gov)
40// Denis Ridzal (dridzal@sandia.gov), or
41// Kara Peterson (kjpeter@sandia.gov)
42//
43// ************************************************************************
44// @HEADER
45
51namespace Intrepid {
52
53 template<class Scalar, class ArrayScalar>
55 {
56 this -> basisCardinality_ = 13;
57 this -> basisDegree_ = 2;
58 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Pyramid<5> >() );
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 0, 4, 0, 1,
80 1, 0, 0, 1,
81 1, 1, 0, 1,
82 1, 2, 0, 1,
83 1, 3, 0, 1,
84 1, 4, 0, 1,
85 1, 5, 0, 1,
86 1, 6, 0, 1,
87 1, 7, 0, 1,
88 };
89
90 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
91 Intrepid::setOrdinalTagData(this -> tagToOrdinal_,
92 this -> ordinalToTag_,
93 tags,
94 this -> basisCardinality_,
95 tagSize,
96 posScDim,
97 posScOrd,
98 posDfOrd);
99}
100
101
102
103template<class Scalar, class ArrayScalar>
105 const ArrayScalar & inputPoints,
106 const EOperator operatorType) const {
107
108 // Verify arguments
109#ifdef HAVE_INTREPID_DEBUG
110 Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues,
111 inputPoints,
112 operatorType,
113 this -> getBaseCellTopology(),
114 this -> getCardinality() );
115#endif
116
117 // Number of evaluation points = dim 0 of inputPoints
118 int dim0 = inputPoints.dimension(0);
119
120 // Temporaries: (x,y,z) coordinates of the evaluation point
121 Scalar x = 0.0;
122 Scalar y = 0.0;
123 Scalar z = 0.0;
124 const Scalar eps = std::numeric_limits<Scalar>::epsilon( );
125
126 switch (operatorType) {
127
128 case OPERATOR_VALUE:
129 for (int i0 = 0; i0 < dim0; i0++) {
130 x = inputPoints(i0, 0);
131 y = inputPoints(i0, 1);
132 z = inputPoints(i0, 2);
133
134 //be sure that the basis functions are defined when z is very close to 1.
135
136 if(fabs(z-1.0) < eps) {
137 if(z <= 1.0) z = 1.0-eps;
138 else z = 1.0+eps;
139 //z = 1.0-eps;
140 }
141
142 Scalar w = 1.0/(1.0 - z);
143
144 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0)
145 outputValues(0, i0) = 0.25 * (-x - y - 1.0)*((1.0-x)*(1.0-y) - z + x*y*z*w);
146 outputValues(1, i0) = 0.25 * ( x - y - 1.0)*((1.0+x)*(1.0-y) - z - x*y*z*w);
147 outputValues(2, i0) = 0.25 * ( x + y - 1.0)*((1.0+x)*(1.0+y) - z + x*y*z*w);
148 outputValues(3, i0) = 0.25 * (-x + y - 1.0)*((1.0-x)*(1.0+y) - z - x*y*z*w);
149
150 outputValues(4, i0) = z * (2.0*z - 1.0);
151
152 outputValues(5, i0) = 0.5 * (1.0 + x - z)*(1.0 - x - z)*(1.0 - y - z)*w;
153 outputValues(6, i0) = 0.5 * (1.0 + y - z)*(1.0 - y - z)*(1.0 + x - z)*w;
154 outputValues(7, i0) = 0.5 * (1.0 + x - z)*(1.0 - x - z)*(1.0 + y - z)*w;
155 outputValues(8, i0) = 0.5 * (1.0 + y - z)*(1.0 - y - z)*(1.0 - x - z)*w;
156
157 outputValues(9, i0) = z*(1.0 - x - z)*(1.0 - y - z)*w;
158 outputValues(10,i0) = z*(1.0 + x - z)*(1.0 - y - z)*w;
159 outputValues(11,i0) = z*(1.0 + x - z)*(1.0 + y - z)*w;
160 outputValues(12,i0) = z*(1.0 - x - z)*(1.0 + y - z)*w;
161 }
162 break;
163
164 case OPERATOR_GRAD:
165 case OPERATOR_D1:
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 //be sure that the basis functions are defined when z is very close to 1.
172
173 if(fabs(z-1.0) < eps) {
174 if(z <= 1.0) z = 1.0-eps;
175 else z = 1.0+eps;
176 }
177
178 Scalar w = 1.0/(1.0 - z);
179
180 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
181 outputValues(0, i0, 0) = 0.25*(-1.0-x-y)*(-1.0+y + y*z*w) - 0.25*((1.0-x)*(1.0-y)-z + x*y*z*w);
182 outputValues(0, i0, 1) = 0.25*(-1.0-x-y)*(-1.0+x + x*z*w) - 0.25*((1.0-x)*(1.0-y)-z + x*y*z*w);
183 outputValues(0, i0, 2) = 0.25*(-1.0-x-y)*(-1.0 + x*y*w + x*y*z*w*w);
184
185 outputValues(1, i0, 0) = 0.25*(-1.0+x-y)*( 1.0-y - y*z*w) + 0.25*((1.0+x)*(1.0-y)-z - x*y*z*w);
186 outputValues(1, i0, 1) = 0.25*(-1.0+x-y)*(-1.0-x - x*z*w) - 0.25*((1.0+x)*(1.0-y)-z - x*y*z*w);
187 outputValues(1, i0, 2) = 0.25*(-1.0+x-y)*(-1.0 - x*y*w - x*y*z*w*w);
188
189 outputValues(2, i0, 0) = 0.25*(-1.0+x+y)*(1.0+y + y*z*w) + 0.25*((1.0+x)*(1.0+y)-z + x*y*z*w);
190 outputValues(2, i0, 1) = 0.25*(-1.0+x+y)*(1.0+x + x*z*w) + 0.25*((1.0+x)*(1.0+y)-z + x*y*z*w);
191 outputValues(2, i0, 2) = 0.25*(-1.0+x+y)*(-1.0 + x*y*w + x*y*z*w*w);
192
193 outputValues(3, i0, 0) = 0.25*(-1.0-x+y)*(-1.0-y - y*z*w) - 0.25*((1.0-x)*(1.0+y)-z - x*y*z*w);
194 outputValues(3, i0, 1) = 0.25*(-1.0-x+y)*( 1.0-x - x*z*w) + 0.25*((1.0-x)*(1.0+y)-z - x*y*z*w);
195 outputValues(3, i0, 2) = 0.25*(-1.0-x+y)*(-1.0 - x*y*w - x*y*z*w*w);
196
197 outputValues(4, i0, 0) = 0.0;
198 outputValues(4, i0, 1) = 0.0;
199 outputValues(4, i0, 2) = -1.0 + 4.0*z;
200
201 outputValues(5, i0, 0) = -x*w*(1.0-y-z);
202 outputValues(5, i0, 1) = -0.5*(1.0-x-z)*(1.0+x-z)*w;
203 outputValues(5, i0, 2) = 0.5*y*x*x*w*w + 0.5*y - 1.0+z;
204
205 outputValues(6, i0, 0) = 0.5*(1.0-y-z)*(1.0+y-z)*w;
206 outputValues(6, i0, 1) = -y*w*(1.0+x-z);
207 outputValues(6, i0, 2) = -0.5*x*y*y*w*w - 0.5*x - 1.0+z;
208
209 outputValues(7, i0, 0) = -x*w*(1.0+y-z);
210 outputValues(7, i0, 1) = 0.5*(1.0-x-z)*(1.0+x-z)*w;
211 outputValues(7, i0, 2) = -0.5*y*x*x*w*w - 0.5*y - 1.0+z;
212
213 outputValues(8, i0, 0) = -0.5*(1.0-y-z)*(1.0+y-z)*w;
214 outputValues(8, i0, 1) = -y*w*(1.0-x-z);
215 outputValues(8, i0, 2) = 0.5*x*y*y*w*w + 0.5*x - 1.0+z;
216
217 outputValues(9, i0, 0) = -(1.0-y-z)*z*w;
218 outputValues(9, i0, 1) = -(1.0-x-z)*z*w;
219 outputValues(9, i0, 2) = x*y*w*w + 1.0 - x - y - 2.0*z;
220
221 outputValues(10,i0, 0) = (1.0-y-z)*z*w;
222 outputValues(10,i0, 1) = -(1.0+x-z)*z*w;
223 outputValues(10,i0, 2) = -x*y*w*w + 1.0 + x - y - 2.0*z;
224
225 outputValues(11,i0, 0) = (1.0+y-z)*z*w;
226 outputValues(11,i0, 1) = (1.0+x-z)*z*w;
227 outputValues(11,i0, 2) = x*y*w*w + 1.0 + x + y - 2.0*z;
228
229 outputValues(12,i0, 0) = -(1.0+y-z)*z*w;
230 outputValues(12,i0, 1) = (1.0-x-z)*z*w;
231 outputValues(12,i0, 2) = -x*y*w*w + 1.0 - x + y - 2.0*z;
232
233 }
234 break;
235
236 case OPERATOR_CURL:
237 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument,
238 ">>> ERROR (Basis_HGRAD_PYR_I2_FEM): CURL is invalid operator for rank-0 (scalar) functions in 3D");
239 break;
240
241 case OPERATOR_DIV:
242 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
243 ">>> ERROR (Basis_HGRAD_PYR_I2_FEM): DIV is invalid operator for rank-0 (scalar) functions in 3D");
244 break;
245
246 case OPERATOR_D2:
247 for (int i0 = 0; i0 < dim0; i0++) {
248 x = inputPoints(i0,0);
249 y = inputPoints(i0,1);
250 z = inputPoints(i0,2);
251
252 if(fabs(z-1.0) < eps) {
253 if(z <= 1.0) z = 1.0-eps;
254 else z = 1.0+eps;
255 }
256 Scalar w = 1.0/(1.0 - z);
257
258 outputValues(0, i0, 0) = -0.5*(-1.0+y+y*z*w);
259 outputValues(0, i0, 1) = -(-0.25 + 0.5*x + 0.5*y + 0.5*z)*w;
260 outputValues(0, i0, 2) = 0.25 + (-0.25*y-0.5*x*y-0.25*y*y)*w*w;
261 outputValues(0, i0, 3) = -0.5*(-1.0+x+x*z*w);
262 outputValues(0, i0, 4) = 0.25 + (-0.25*x*x-0.25*x-0.5*x*y)*w*w;
263 outputValues(0, i0, 5) = 0.5*x*y*(-1.0-x-y)*w*w*w;
264
265 outputValues(1, i0, 0) = 0.5*(1.0-y-y*z*w);
266 outputValues(1, i0, 1) =-(0.25 + 0.5*x - 0.5*y - 0.5*z)*w;
267 outputValues(1, i0, 2) = -0.25 + (0.25*y-0.5*x*y+0.25*y*y)*w*w;
268 outputValues(1, i0, 3) = -0.5*(-1.0-x-x*z*w);
269 outputValues(1, i0, 4) = 0.25 + (-0.25*x*x + 0.25*x + 0.5*x*y)*w*w;
270 outputValues(1, i0, 5) = -0.5*x*y*(-1.0+x-y)*w*w*w;
271
272 outputValues(2, i0, 0) = 0.5*(1.0+y+y*z*w);
273 outputValues(2, i0, 1) =-(-0.25 - 0.5*x - 0.5*y + 0.5*z)*w;
274 outputValues(2, i0, 2) = -0.25 + (-0.25*y+0.5*x*y+0.25*y*y)*w*w;
275 outputValues(2, i0, 3) = 0.5*(1.0+x+x*z*w);
276 outputValues(2, i0, 4) = -0.25 + (0.25*x*x -0.25*x + 0.5*x*y)*w*w;
277 outputValues(2, i0, 5) = 0.5*x*y*(-1.0+x+y)*w*w*w;
278
279 outputValues(3, i0, 0) = -0.5*(-1.0-y-y*z*w);
280 outputValues(3, i0, 1) =-(0.25 - 0.5*x + 0.5*y - 0.5*z)*w;
281 outputValues(3, i0, 2) = 0.25 + (0.25*y+0.5*x*y-0.25*y*y)*w*w;
282 outputValues(3, i0, 3) = 0.5*(1.0-x-x*z*w);
283 outputValues(3, i0, 4) = -0.25 + (0.25*x + 0.25*x*x - 0.5*x*y)*w*w;
284 outputValues(3, i0, 5) = -0.5*x*y*(-1.0-x+y)*w*w*w;
285
286 outputValues(4, i0, 0) = 0.0;
287 outputValues(4, i0, 1) = 0.0;
288 outputValues(4, i0, 2) = 0.0;
289 outputValues(4, i0, 3) = 0.0;
290 outputValues(4, i0, 4) = 0.0;
291 outputValues(4, i0, 5) = 4.0;
292
293 outputValues(5, i0, 0) = -(1.0-y-z)*w;
294 outputValues(5, i0, 1) = x*w;
295 outputValues(5, i0, 2) = x*y*w*w;
296 outputValues(5, i0, 3) = 0.0;
297 outputValues(5, i0, 4) = 0.5*x*x*w*w + 0.5;
298 outputValues(5, i0, 5) = x*x*y*w*w*w + 1.0;
299
300 outputValues(6, i0, 0) = 0.0;
301 outputValues(6, i0, 1) = -y*w;
302 outputValues(6, i0, 2) = -0.5*y*y*w*w - 0.5;
303 outputValues(6, i0, 3) =-(1.0+x-z)*w;
304 outputValues(6, i0, 4) = -x*y*w*w;
305 outputValues(6, i0, 5) = -x*y*y*w*w*w + 1.0;
306
307 outputValues(7, i0, 0) = -(1.0+y-z)*w;
308 outputValues(7, i0, 1) = -x*w;
309 outputValues(7, i0, 2) = -x*y*w*w;
310 outputValues(7, i0, 3) = 0.0;
311 outputValues(7, i0, 4) = -0.5*x*x*w*w - 0.5;
312 outputValues(7, i0, 5) = -x*x*y*w*w*w + 1.0;
313
314 outputValues(8, i0, 0) = 0.0;
315 outputValues(8, i0, 1) = y*w;
316 outputValues(8, i0, 2) = 0.5*y*y*w*w + 0.5;
317 outputValues(8, i0, 3) = -(1.0-x-z)*w;
318 outputValues(8, i0, 4) = x*y*w*w;
319 outputValues(8, i0, 5) = x*y*y*w*w*w + 1.0;
320
321 outputValues(9, i0, 0) = 0.0;
322 outputValues(9, i0, 1) = z*w;
323 outputValues(9, i0, 2) = y*w*w - 1.0;
324 outputValues(9, i0, 3) = 0.0;
325 outputValues(9, i0, 4) = x*w*w - 1.0;
326 outputValues(9, i0, 5) = 2.0*x*y*w*w*w - 2.0;
327
328 outputValues(10,i0, 0) = 0.0;
329 outputValues(10,i0, 1) = -z*w;
330 outputValues(10,i0, 2) = -y*w*w + 1.0;
331 outputValues(10,i0, 3) = 0.0;
332 outputValues(10,i0, 4) = -x*w*w - 1.0;
333 outputValues(10,i0, 5) = -2.0*x*y*w*w*w - 2.0;
334
335 outputValues(11,i0, 0) = 0.0;
336 outputValues(11,i0, 1) = z*w;
337 outputValues(11,i0, 2) = y*w*w + 1.0;
338 outputValues(11,i0, 3) = 0.0;
339 outputValues(11,i0, 4) = x*w*w + 1.0;
340 outputValues(11,i0, 5) = 2.0*x*y*w*w*w - 2.0;
341
342 outputValues(12,i0, 0) = 0.0;
343 outputValues(12,i0, 1) = -z*w;
344 outputValues(12,i0, 2) = -y*w*w - 1.0;
345 outputValues(12,i0, 3) = 0.0;
346 outputValues(12,i0, 4) = -x*w*w + 1.0;
347 outputValues(12,i0, 5) = -2.0*x*y*w*w*w - 2.0;
348
349 }
350 break;
351
352 case OPERATOR_D3:
353 for (int i0 = 0; i0 < dim0; i0++) {
354 x = inputPoints(i0,0);
355 y = inputPoints(i0,1);
356 z = inputPoints(i0,2);
357
358 if(fabs(z-1.0) < eps) {
359 if(z <= 1.0) z = 1.0-eps;
360 else z = 1.0+eps;
361 }
362
363 Scalar w = 1.0/(1.0 - z);
364
365 outputValues(0, i0, 0) = 0.0;
366 outputValues(0, i0, 1) = -0.5*w;
367 outputValues(0, i0, 2) = -0.5*y*w*w;
368 outputValues(0, i0, 3) = -0.5*w;
369 outputValues(0, i0, 4) =(-0.25 - 0.5*x - 0.5*y)*w*w;
370 outputValues(0, i0, 5) =-(0.5*y + x*y + 0.5*y*y)*w*w*w;
371 outputValues(0, i0, 6) = 0.0;
372 outputValues(0, i0, 7) = -0.5*x*w*w;
373 outputValues(0, i0, 8) =-(0.5*x + x*y + 0.5*x*x)*w*w*w;
374 outputValues(0, i0, 9) = 1.5*x*y*(-1.0 - x - y)*w*w*w*w;
375
376 outputValues(1, i0, 0) = 0.0;
377 outputValues(1, i0, 1) = -0.5*w;
378 outputValues(1, i0, 2) = -0.5*y*w*w;
379 outputValues(1, i0, 3) = 0.5*w;
380 outputValues(1, i0, 4) = (0.25 - 0.5*x - 0.5*y)*w*w;
381 outputValues(1, i0, 5) =-(-0.5*y + x*y - 0.5*y*y)*w*w*w;
382 outputValues(1, i0, 6) = 0.0;
383 outputValues(1, i0, 7) = 0.5*x*w*w;
384 outputValues(1, i0, 8) =-(-0.5*x - x*y + 0.5*x*x)*w*w*w;
385 outputValues(1, i0, 9) = -1.5*x*y*(-1.0 + x - y)*w*w*w*w;
386
387 outputValues(2, i0, 0) = 0.0;
388 outputValues(2, i0, 1) = 0.5*w;
389 outputValues(2, i0, 2) = 0.5*y*w*w;
390 outputValues(2, i0, 3) = 0.5*w;
391 outputValues(2, i0, 4) = (-0.25 + 0.5*x + 0.5*y)*w*w;
392 outputValues(2, i0, 5) =-(0.5*y - x*y - 0.5*y*y)*w*w*w;
393 outputValues(2, i0, 6) = 0.0;
394 outputValues(2, i0, 7) = 0.5*x*w*w;
395 outputValues(2, i0, 8) =-(0.5*x - x*y - 0.5*x*x)*w*w*w;
396 outputValues(2, i0, 9) = 1.5*x*y*(-1.0 + x + y)*w*w*w*w;
397
398 outputValues(3, i0, 0) = 0.0;
399 outputValues(3, i0, 1) = 0.5*w;
400 outputValues(3, i0, 2) = 0.5*y*w*w;
401 outputValues(3, i0, 3) = -0.5*w;
402 outputValues(3, i0, 4) = (0.25 + 0.5*x - 0.5*y)*w*w;
403 outputValues(3, i0, 5) =-(-0.5*y - x*y + 0.5*y*y)*w*w*w;
404 outputValues(3, i0, 6) = 0.0;
405 outputValues(3, i0, 7) = -0.5*x*w*w;
406 outputValues(3, i0, 8) =-(-0.5*x + x*y - 0.5*x*x)*w*w*w;
407 outputValues(3, i0, 9) = -1.5*x*y*(-1.0 - x + y)*w*w*w*w;
408
409 outputValues(4, i0, 0) = 0.0;
410 outputValues(4, i0, 1) = 0.0;
411 outputValues(4, i0, 2) = 0.0;
412 outputValues(4, i0, 3) = 0.0;
413 outputValues(4, i0, 4) = 0.0;
414 outputValues(4, i0, 5) = 0.0;
415 outputValues(4, i0, 6) = 0.0;
416 outputValues(4, i0, 7) = 0.0;
417 outputValues(4, i0, 8) = 0.0;
418 outputValues(4, i0, 9) = 0.0;
419
420 outputValues(5, i0, 0) = 0.0;
421 outputValues(5, i0, 1) = w;
422 outputValues(5, i0, 2) = y*w*w;
423 outputValues(5, i0, 3) = 0.0;
424 outputValues(5, i0, 4) = x*w*w;
425 outputValues(5, i0, 5) = 2.0*y*x*w*w*w;
426 outputValues(5, i0, 6) = 0.0;
427 outputValues(5, i0, 7) = 0.0;
428 outputValues(5, i0, 8) = x*x*w*w*w;
429 outputValues(5, i0, 9) = 3.0*x*x*y*w*w*w*w;
430
431 outputValues(6, i0, 0) = 0.0;
432 outputValues(6, i0, 1) = 0.0;
433 outputValues(6, i0, 2) = 0.0;
434 outputValues(6, i0, 3) = -w;
435 outputValues(6, i0, 4) = -y*w*w;
436 outputValues(6, i0, 5) = -y*y*w*w*w;
437 outputValues(6, i0, 6) = 0.0;
438 outputValues(6, i0, 7) = -x*w*w ;
439 outputValues(6, i0, 8) = -2.0*x*y*w*w*w;
440 outputValues(6, i0, 9) = -3.0*x*y*y*w*w*w*w;
441
442 outputValues(7, i0, 0) = 0.0;
443 outputValues(7, i0, 1) = -w;
444 outputValues(7, i0, 2) = -y*w*w;
445 outputValues(7, i0, 3) = 0.0;
446 outputValues(7, i0, 4) = -x*w*w;
447 outputValues(7, i0, 5) = -2.0*x*y*w*w*w;
448 outputValues(7, i0, 6) = 0.0;
449 outputValues(7, i0, 7) = 0.0;
450 outputValues(7, i0, 8) = -x*x*w*w*w;
451 outputValues(7, i0, 9) = -3.0*x*x*y*w*w*w*w;
452
453 outputValues(8, i0, 0) = 0.0;
454 outputValues(8, i0, 1) = 0.0;
455 outputValues(8, i0, 2) = 0.0;
456 outputValues(8, i0, 3) = w;
457 outputValues(8, i0, 4) = y*w*w;
458 outputValues(8, i0, 5) = y*y*w*w*w;
459 outputValues(8, i0, 6) = 0.0;
460 outputValues(8, i0, 7) = x*w*w;
461 outputValues(8, i0, 8) = 2.0*x*y*w*w*w;
462 outputValues(8, i0, 9) = 3.0*x*y*y*w*w*w*w ;
463
464 outputValues(9, i0, 0) = 0.0;
465 outputValues(9, i0, 1) = 0.0;
466 outputValues(9, i0, 2) = 0.0;
467 outputValues(9, i0, 3) = 0.0;
468 outputValues(9, i0, 4) = w*w;
469 outputValues(9, i0, 5) = 2.0*y*w*w*w;
470 outputValues(9, i0, 6) = 0.0;
471 outputValues(9, i0, 7) = 0.0;
472 outputValues(9, i0, 8) = 2.0*x*w*w*w;
473 outputValues(9, i0, 9) = 6.0*x*y*w*w*w*w;
474
475 outputValues(10,i0, 0) = 0.0;
476 outputValues(10,i0, 1) = 0.0;
477 outputValues(10,i0, 2) = 0.0;
478 outputValues(10,i0, 3) = 0.0;
479 outputValues(10,i0, 4) = -w*w;
480 outputValues(10,i0, 5) = -2.0*y*w*w*w;
481 outputValues(10,i0, 6) = 0.0;
482 outputValues(10,i0, 7) = 0.0;
483 outputValues(10,i0, 8) = -2.0*x*w*w*w;
484 outputValues(10,i0, 9) = -6.0*x*y*w*w*w*w;
485
486 outputValues(11,i0, 0) = 0.0;
487 outputValues(11,i0, 1) = 0.0;
488 outputValues(11,i0, 2) = 0.0;
489 outputValues(11,i0, 3) = 0.0;
490 outputValues(11,i0, 4) = w*w;
491 outputValues(11,i0, 5) = 2.0*y*w*w*w;
492 outputValues(11,i0, 6) = 0.0;
493 outputValues(11,i0, 7) = 0.0;
494 outputValues(11,i0, 8) = 2.0*x*w*w*w;
495 outputValues(11,i0, 9) = 6.0*x*y*w*w*w*w;
496
497 outputValues(12,i0, 0) = 0.0;
498 outputValues(12,i0, 1) = 0.0;
499 outputValues(12,i0, 2) = 0.0;
500 outputValues(12,i0, 3) = 0.0;
501 outputValues(12,i0, 4) = -w*w;
502 outputValues(12,i0, 5) = -2.0*y*w*w*w;
503 outputValues(12,i0, 6) = 0.0;
504 outputValues(12,i0, 7) = 0.0;
505 outputValues(12,i0, 8) = -2.0*x*w*w*w;
506 outputValues(12,i0, 9) = -6.0*x*y*w*w*w*w;
507
508 }
509 break;
510
511 case OPERATOR_D4:
512 case OPERATOR_D5:
513 case OPERATOR_D6:
514 case OPERATOR_D7:
515 case OPERATOR_D8:
516 case OPERATOR_D9:
517 case OPERATOR_D10:
518 {
519 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
520 int DkCardinality = Intrepid::getDkCardinality(operatorType,
521 this -> basisCellTopology_.getDimension() );
522 for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) {
523 for (int i0 = 0; i0 < dim0; i0++) {
524 for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){
525 outputValues(dofOrd, i0, dkOrd) = 0.0;
526 }
527 }
528 }
529 }
530 break;
531
532 default:
533 TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument,
534 ">>> ERROR (Basis_HGRAD_PYR_I2_FEM): Invalid operator type");
535 }
536}
537
538
539
540template<class Scalar, class ArrayScalar>
542 const ArrayScalar & inputPoints,
543 const ArrayScalar & cellVertices,
544 const EOperator operatorType) const {
545 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error,
546 ">>> ERROR (Basis_HGRAD_PYR_I2_FEM): FEM Basis calling an FVD member function");
547}
548}// namespace Intrepid
549#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 Pyramid cell.