51 #include "Teuchos_oblackholestream.hpp"
52 #include "Teuchos_RCP.hpp"
53 #include "Teuchos_GlobalMPISession.hpp"
56 #include "Shards_CellTopology.hpp"
59 using namespace Intrepid;
65 int main(
int argc,
char *argv[]) {
67 Teuchos::GlobalMPISession mpiSession(&argc, &argv);
70 int iprint = argc - 1;
72 Teuchos::RCP<std::ostream> outStream;
73 Teuchos::oblackholestream bhs;
76 outStream = Teuchos::rcp(&std::cout,
false);
78 outStream = Teuchos::rcp(&bhs,
false);
81 Teuchos::oblackholestream oldFormatState;
82 oldFormatState.copyfmt(std::cout);
85 <<
"===============================================================================\n" \
87 <<
"| Unit Test HDIV_TET_In_FEM |\n" \
89 <<
"| 1) Tests tetrahedral Raviart-Thomas basis |\n" \
91 <<
"| Questions? Contact Pavel Bochev (pbboche@sandia.gov) or |\n" \
92 <<
"| Denis Ridzal (dridzal@sandia.gov) or |\n" \
93 <<
"| Robert Kirby (robert.c.kirby@ttu.edu) |\n" \
95 <<
"| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
96 <<
"| Trilinos website: http://trilinos.sandia.gov |\n" \
98 <<
"===============================================================================\n";
111 PointTools::getLattice<double,FieldContainer<double> >( lattice ,
115 POINTTYPE_EQUISPACED );
117 myBasis.
getValues( myBasisValues , lattice , OPERATOR_VALUE );
120 const double fiat_vals[] = {
121 0.000000000000000e+00, -6.000000000000000e+00, 0.000000000000000e+00,
122 1.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
123 -2.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
124 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
125 -1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
126 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
127 0.000000000000000e+00, -2.000000000000000e+00, 1.000000000000000e+00,
128 -1.000000000000000e+00, 2.000000000000000e+00, -1.000000000000000e+00,
129 0.000000000000000e+00, 1.000000000000000e+00, -1.000000000000000e+00,
130 0.000000000000000e+00, 2.000000000000000e+00, -2.000000000000000e+00,
131 0.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
132 1.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
133 6.000000000000000e+00, -6.000000000000000e+00, 0.000000000000000e+00,
134 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
135 1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
136 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
137 0.000000000000000e+00, 2.000000000000000e+00, -1.000000000000000e+00,
138 1.000000000000000e+00, -2.000000000000000e+00, 1.000000000000000e+00,
139 0.000000000000000e+00, 1.000000000000000e+00, -1.000000000000000e+00,
140 0.000000000000000e+00, 2.000000000000000e+00, -2.000000000000000e+00,
141 0.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
142 -1.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
143 -2.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
144 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
145 -1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
146 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
147 0.000000000000000e+00, -2.000000000000000e+00, 1.000000000000000e+00,
148 1.000000000000000e+00, -2.000000000000000e+00, 1.000000000000000e+00,
149 0.000000000000000e+00, -1.000000000000000e+00, 1.000000000000000e+00,
150 0.000000000000000e+00, -6.000000000000000e+00, 6.000000000000000e+00,
151 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
152 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
153 6.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
154 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
155 1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
156 0.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
157 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
158 1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
159 0.000000000000000e+00, -1.000000000000000e+00, -1.000000000000000e+00,
160 0.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
161 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
162 -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
163 -2.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
164 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
165 1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
166 0.000000000000000e+00, 6.000000000000000e+00, 0.000000000000000e+00,
167 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
168 -1.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
169 0.000000000000000e+00, 1.000000000000000e+00, 1.000000000000000e+00,
170 0.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
171 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
172 -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
173 -2.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
174 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
175 -1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
176 0.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
177 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
178 1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
179 0.000000000000000e+00, 1.000000000000000e+00, 1.000000000000000e+00,
180 0.000000000000000e+00, 0.000000000000000e+00, 6.000000000000000e+00,
181 -6.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
182 -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
183 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
184 -2.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
185 1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
186 2.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
187 -2.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
188 1.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
189 2.000000000000000e+00, -1.000000000000000e+00, -1.000000000000000e+00,
190 2.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
191 2.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
192 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
193 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
194 2.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
195 1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
196 2.000000000000000e+00, -2.000000000000000e+00, 0.000000000000000e+00,
197 -2.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
198 -1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
199 -2.000000000000000e+00, 1.000000000000000e+00, 1.000000000000000e+00,
200 -6.000000000000000e+00, 0.000000000000000e+00, 6.000000000000000e+00,
201 2.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
202 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
203 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
204 -2.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
205 -1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
206 -6.000000000000000e+00, 6.000000000000000e+00, 0.000000000000000e+00,
207 2.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
208 1.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
209 -2.000000000000000e+00, 1.000000000000000e+00, 1.000000000000000e+00,
210 2.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
211 0.000000000000000e+00, 0.000000000000000e+00, -6.000000000000000e+00,
212 1.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
213 -2.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
214 0.000000000000000e+00, 1.000000000000000e+00, -2.000000000000000e+00,
215 -1.000000000000000e+00, -1.000000000000000e+00, 2.000000000000000e+00,
216 0.000000000000000e+00, -2.000000000000000e+00, 2.000000000000000e+00,
217 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
218 -1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
219 0.000000000000000e+00, -1.000000000000000e+00, 1.000000000000000e+00,
220 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
221 0.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
222 -1.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
223 -2.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
224 0.000000000000000e+00, 1.000000000000000e+00, -2.000000000000000e+00,
225 1.000000000000000e+00, 1.000000000000000e+00, -2.000000000000000e+00,
226 0.000000000000000e+00, 6.000000000000000e+00, -6.000000000000000e+00,
227 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
228 -1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
229 0.000000000000000e+00, 1.000000000000000e+00, -1.000000000000000e+00,
230 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
231 0.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
232 1.000000000000000e+00, 0.000000000000000e+00, -2.000000000000000e+00,
233 6.000000000000000e+00, 0.000000000000000e+00, -6.000000000000000e+00,
234 0.000000000000000e+00, -1.000000000000000e+00, 2.000000000000000e+00,
235 1.000000000000000e+00, 1.000000000000000e+00, -2.000000000000000e+00,
236 0.000000000000000e+00, -2.000000000000000e+00, 2.000000000000000e+00,
237 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
238 1.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
239 0.000000000000000e+00, -1.000000000000000e+00, 1.000000000000000e+00,
240 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
241 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
242 2.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
243 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
244 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
245 1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00,
246 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
247 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
248 1.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00,
249 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
250 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
251 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
252 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
253 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
254 0.000000000000000e+00, 2.000000000000000e+00, 0.000000000000000e+00,
255 -1.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
256 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
257 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
258 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
259 0.000000000000000e+00, 1.000000000000000e+00, -1.000000000000000e+00,
260 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
261 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
262 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
263 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
264 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00,
265 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
266 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00,
267 0.000000000000000e+00, 0.000000000000000e+00, 2.000000000000000e+00,
268 -1.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00,
269 0.000000000000000e+00, -1.000000000000000e+00, 1.000000000000000e+00,
270 0.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00
275 for (
int i=0;i<myBasisValues.dimension(0);i++) {
276 for (
int j=0;j<myBasisValues.dimension(1);j++) {
277 for (
int k=0;k<myBasisValues.dimension(2);k++) {
278 if (std::abs( myBasisValues(i,j,k) - fiat_vals[cur] ) > 10.0*INTREPID_TOL ) {
280 *outStream << std::setw(70) <<
"^^^^----FAILURE!" <<
"\n";
283 *outStream <<
" At multi-index { ";
284 *outStream << i <<
" " << j <<
" " << k;
285 *outStream <<
"} computed value: " << myBasisValues(i,j,k)
286 <<
" but correct value: " << fiat_vals[cur] <<
"\n";
287 *outStream <<
"Difference: " << std::abs( myBasisValues(i,j,k) - fiat_vals[cur] ) <<
"\n";
294 catch (
const std::exception & err) {
295 *outStream << err.what() <<
"\n\n";
306 PointTools::getLattice<double,FieldContainer<double> >( lattice ,
310 POINTTYPE_EQUISPACED );
312 myBasis.
getValues( myBasisDivs , lattice , OPERATOR_DIV );
314 const double fiat_divs[] = {
315 2.600000000000000e+01,
316 1.000000000000000e+01,
317 -6.000000000000000e+00,
318 1.000000000000000e+01,
319 -6.000000000000000e+00,
320 -6.000000000000000e+00,
321 1.000000000000000e+01,
322 -6.000000000000000e+00,
323 -6.000000000000000e+00,
324 -6.000000000000000e+00,
325 -6.000000000000000e+00,
326 1.000000000000000e+01,
327 2.600000000000000e+01,
328 -6.000000000000000e+00,
329 1.000000000000000e+01,
330 -6.000000000000000e+00,
331 -6.000000000000000e+00,
332 1.000000000000000e+01,
333 -6.000000000000000e+00,
334 -6.000000000000000e+00,
335 -6.000000000000000e+00,
336 -6.000000000000000e+00,
337 -6.000000000000000e+00,
338 -6.000000000000000e+00,
339 -6.000000000000000e+00,
340 -6.000000000000000e+00,
341 1.000000000000000e+01,
342 1.000000000000000e+01,
343 1.000000000000000e+01,
344 2.600000000000000e+01,
345 -6.000000000000000e+00,
346 1.000000000000000e+01,
347 2.600000000000000e+01,
348 -6.000000000000000e+00,
349 1.000000000000000e+01,
350 -6.000000000000000e+00,
351 -6.000000000000000e+00,
352 1.000000000000000e+01,
353 -6.000000000000000e+00,
354 -6.000000000000000e+00,
355 -6.000000000000000e+00,
356 -6.000000000000000e+00,
357 -6.000000000000000e+00,
358 1.000000000000000e+01,
359 1.000000000000000e+01,
360 2.600000000000000e+01,
361 -6.000000000000000e+00,
362 -6.000000000000000e+00,
363 1.000000000000000e+01,
364 -6.000000000000000e+00,
365 -6.000000000000000e+00,
366 -6.000000000000000e+00,
367 -6.000000000000000e+00,
368 -6.000000000000000e+00,
369 -6.000000000000000e+00,
370 -6.000000000000000e+00,
371 1.000000000000000e+01,
372 1.000000000000000e+01,
373 1.000000000000000e+01,
374 2.600000000000000e+01,
375 2.600000000000000e+01,
376 1.000000000000000e+01,
377 -6.000000000000000e+00,
378 1.000000000000000e+01,
379 -6.000000000000000e+00,
380 -6.000000000000000e+00,
381 1.000000000000000e+01,
382 -6.000000000000000e+00,
383 -6.000000000000000e+00,
384 -6.000000000000000e+00,
385 -6.000000000000000e+00,
386 -6.000000000000000e+00,
387 -6.000000000000000e+00,
388 -6.000000000000000e+00,
389 -6.000000000000000e+00,
390 -6.000000000000000e+00,
391 1.000000000000000e+01,
392 1.000000000000000e+01,
393 1.000000000000000e+01,
394 2.600000000000000e+01,
395 -6.000000000000000e+00,
396 -6.000000000000000e+00,
397 -6.000000000000000e+00,
398 1.000000000000000e+01,
399 1.000000000000000e+01,
400 2.600000000000000e+01,
401 -6.000000000000000e+00,
402 -6.000000000000000e+00,
403 1.000000000000000e+01,
404 -6.000000000000000e+00,
405 2.600000000000000e+01,
406 1.000000000000000e+01,
407 -6.000000000000000e+00,
408 1.000000000000000e+01,
409 -6.000000000000000e+00,
410 -6.000000000000000e+00,
411 1.000000000000000e+01,
412 -6.000000000000000e+00,
413 -6.000000000000000e+00,
414 -6.000000000000000e+00,
415 -6.000000000000000e+00,
416 -6.000000000000000e+00,
417 -6.000000000000000e+00,
418 1.000000000000000e+01,
419 1.000000000000000e+01,
420 2.600000000000000e+01,
421 -6.000000000000000e+00,
422 -6.000000000000000e+00,
423 1.000000000000000e+01,
424 -6.000000000000000e+00,
425 -6.000000000000000e+00,
426 1.000000000000000e+01,
427 2.600000000000000e+01,
428 -6.000000000000000e+00,
429 1.000000000000000e+01,
430 -6.000000000000000e+00,
431 -6.000000000000000e+00,
432 1.000000000000000e+01,
433 -6.000000000000000e+00,
434 -6.000000000000000e+00,
435 1.600000000000000e+01,
436 0.000000000000000e+00,
437 -1.600000000000000e+01,
438 8.000000000000000e+00,
439 -8.000000000000000e+00,
440 0.000000000000000e+00,
441 8.000000000000000e+00,
442 -8.000000000000000e+00,
443 0.000000000000000e+00,
444 0.000000000000000e+00,
445 1.600000000000000e+01,
446 8.000000000000000e+00,
447 0.000000000000000e+00,
448 0.000000000000000e+00,
449 -8.000000000000000e+00,
450 -1.600000000000000e+01,
451 8.000000000000000e+00,
452 0.000000000000000e+00,
453 -8.000000000000000e+00,
454 0.000000000000000e+00,
455 1.600000000000000e+01,
456 8.000000000000000e+00,
457 0.000000000000000e+00,
458 8.000000000000000e+00,
459 0.000000000000000e+00,
460 0.000000000000000e+00,
461 0.000000000000000e+00,
462 -8.000000000000000e+00,
463 -8.000000000000000e+00,
464 -1.600000000000000e+01
469 for (
int i=0;i<myBasisDivs.dimension(0);i++) {
470 for (
int j=0;j<myBasisDivs.dimension(1);j++) {
471 if (std::abs( myBasisDivs(i,j) - fiat_divs[cur] ) > 10.0 * INTREPID_TOL ) {
473 *outStream << std::setw(70) <<
"^^^^----FAILURE!" <<
"\n";
476 *outStream <<
" At multi-index { ";
477 *outStream << i <<
" " << j;
478 *outStream <<
"} computed value: " << myBasisDivs(i,j)
479 <<
" but correct value: " << fiat_divs[cur] <<
"\n";
480 *outStream <<
"Difference: " << std::abs( myBasisDivs(i,j) - fiat_divs[cur] ) <<
"\n";
486 catch (
const std::exception & err) {
487 *outStream << err.what() <<
"\n\n";
493 std::cout <<
"End Result: TEST FAILED\n";
495 std::cout <<
"End Result: TEST PASSED\n";
498 std::cout.copyfmt(oldFormatState);
virtual int getCardinality() const
Returns cardinality of the basis.
Header file for utility class to provide multidimensional containers.
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Tetrahedron cell.
Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedr...
virtual const shards::CellTopology getBaseCellTopology() const
Returns the base cell topology for which the basis is defined. See Shards documentation http://trilin...
Header file for the Intrepid::HDIV_TET_In_FEM class.