These are timing and accuracy results to solve the system $$ \gathered -\nabla\cdot(a\nabla u)+b\cdot\nabla u+cu=f\quad\text{on }\Omega, \\ a\frac{\partial u}{\partial n}+\gamma u=g\quad\text{on }\partial Omega. \endgathered $$ with $b=0$ with $\Omega=[0,1]^2$ and a regular grid of size $257 \times 257$ with one set of diagonals and linear finite elements. Multigrid was used, with m1 presmoothing steps, m2 postsmoothing steps, and p coarse-correction steps in each MG-step, and r iterations of MG-step at each refinement level. Richardson, Jacobi, or Gauss-Seidel smoothing was used. At the coarsest level, only the smoothers were employed, i.e., no special solver was used at the coarsest level. The four columns of numbers are L2 error, H1 error, User ms, and GC ms. The L2 and H1 errors were estimated by injecting the approximate solution into a $257 \times 257$ grid and comparing it with the interpolant of the true solution on the fine grid. The problems are roughly in increasing order of difficulty; in the last problem, for example, the stiffness coefficient $a$ varies from 1.0 to 21.0 over the domain. User ms is the amount of user+system time to solve the linear system only; every once in a while there was a garbage collection during the solution process, whose time is measured separately. The tests were run on a Sun server with 2.2 GHz Opteron cpus and 16 Gbytes of memory running Red Hat Enterprise Linux 4. They used Gambit-C 4.1.2 and gcc 4.2.1, compiled with the options: -O1 -fno-math-errno -fschedule-insns2 -fno-trapping-math -fno-strict-aliasing -fwrapv -fomit-frame-pointer I have not yet analyzed these results to see what the "best" combination of m1, m2, r, and p is. euler-376% gsc++ -:m1000000 [ Meroon V3 Paques2001+1 $Revision: 1.1 $ ] Gambit v4.1.2 > (load "all") "/export/users/lucier/programs/615project/2007/all.o1" > (time (load "final-tests")) (time (load "final-tests")) 24271 ms real time 24263 ms cpu time (23243 user, 1020 system) 7 collections accounting for 5913 ms real time (5777 user, 134 system) 5010759896 bytes allocated 291218 minor faults no major faults "/export/users/lucier/programs/615project/2007/final-tests.o2" > (run-multigrid-tests symmetric-tests) a=1, c=1, u=x^2-y^2, Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0002071034 .0035868229 41. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0000020880 .0027868212 80. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000015787 .0027640400 116. 670. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000015591 .0027623278 157. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0000024055 .0027870844 61. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000015599 .0027623286 119. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000015574 .0027621409 177. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621364 234. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000016060 .0027640610 80. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000015574 .0027621409 157. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 235. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 313. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000015635 .0027623313 100. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621365 196. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 294. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 387. 688. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000022911 .0031028734 69. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000016142 .0027862327 149. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000015621 .0027640096 222. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000015578 .0027623248 297. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000016146 .0027863696 112. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000015579 .0027623251 222. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621408 328. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621364 442. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000015625 .0027640315 148. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621408 293. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 409. 680. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 581. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000015582 .0027623283 183. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621364 365. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 514. 693. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 728. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 40. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 75. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 114. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 152. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 58. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 113. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 170. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 226. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 76. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 150. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 221. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 298. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 95. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 186. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 279. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 370. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 74. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 144. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 217. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 288. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 108. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 214. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 319. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 423. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 142. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 281. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 420. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 518. 690. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 173. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 348. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 517. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 666. 685. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000015654 .0027626160 47. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621378 90. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 133. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 178. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000015576 .0027621427 76. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 152. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 225. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 298. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621368 103. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 206. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 297. 690. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 391. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621364 125. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 249. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 371. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 497. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000015631 .0027626018 81. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621377 161. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 240. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 300. 674. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000015575 .0027621424 116. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 230. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 345. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 459. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621368 161. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 313. 669. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 465. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 618. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621364 196. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 390. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 585. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 776. 0. a=1, c=1, u=\cos(\pi x), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0030667025 .0227904982 41. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0001714937 .0070182169 70. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000261930 .0068233579 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000120852 .0068160881 149. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0002415835 .0071299597 61. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000143674 .0068163200 118. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000088103 .0068152584 176. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000079973 .0068152029 232. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000540552 .0068325649 73. 679. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000094908 .0068152873 141. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000079859 .0068152002 212. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000077338 .0068151915 310. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000250289 .0068178113 99. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000085255 .0068152183 195. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000077936 .0068151929 291. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000076771 .0068151897 352. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000232189 .0076728008 76. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000107270 .0068767297 150. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000083956 .0068201383 221. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000078375 .0068157177 296. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000138232 .0068774988 112. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000080212 .0068157269 204. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000076719 .0068152059 312. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000076476 .0068151903 439. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000106286 .0068203288 147. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000076967 .0068152081 282. 678. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000076467 .0068151897 406. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000076455 .0068151890 571. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000091243 .0068157819 183. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000076533 .0068151918 348. 692. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000076455 .0068151891 506. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000076454 .0068151888 710. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000282477 .0068185209 39. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000085914 .0068153363 76. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000078136 .0068152782 99. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000076848 .0068152613 131. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000130212 .0068153399 57. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000079868 .0068151995 113. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000076873 .0068151943 167. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000076510 .0068151929 223. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000108136 .0068153309 76. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000078277 .0068152384 149. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000076640 .0068152275 221. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000076488 .0068152218 294. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000098057 .0068152341 84. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000077546 .0068151971 166. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000076533 .0068151941 272. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000076458 .0068151928 365. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000076638 .0068157765 74. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000076478 .0068153113 143. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000076474 .0068152754 214. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000076473 .0068152611 284. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000076529 .0068152068 98. 686. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000076453 .0068151959 192. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000076451 .0068151938 287. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000076451 .0068151928 410. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000076550 .0068152671 138. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000076472 .0068152365 276. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000076471 .0068152274 397. 690. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000076470 .0068152219 506. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000076520 .0068152045 160. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000076452 .0068151961 335. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000076451 .0068151939 513. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000076451 .0068151928 632. 678. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000128719 .0068161192 45. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000079596 .0068151961 88. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000076774 .0068151892 132. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000076489 .0068151888 177. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000092883 .0068152234 76. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000077137 .0068151896 150. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000076491 .0068151888 221. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000076456 .0068151888 295. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000086018 .0068152017 100. 675. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000076745 .0068151891 194. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000076465 .0068151888 289. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000076454 .0068151888 387. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000083322 .0068151967 125. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000076619 .0068151890 246. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000076459 .0068151888 371. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000076454 .0068151888 489. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000082916 .0068159719 77. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000076508 .0068151925 160. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000076455 .0068151889 225. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000076454 .0068151888 300. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000077102 .0068152021 121. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000076455 .0068151889 240. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000076454 .0068151888 360. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000076454 .0068151888 478. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000076604 .0068151919 156. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000076454 .0068151888 309. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000076454 .0068151888 463. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000076454 .0068151888 637. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000076527 .0068151906 201. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000076454 .0068151888 388. 673. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000076454 .0068151888 582. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000076454 .0068151888 776. 0. a=1, c=1, u=\sin(\pi x)+\sin(\pi y), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0512322653 .0683284277 36. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0023128665 .0101250712 70. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000774197 .0096465538 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000568323 .0096391425 156. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0019562295 .0104837961 61. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000757855 .0096395382 119. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000176320 .0096382701 174. 678. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000127729 .0096382284 211. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0002658591 .0096725604 73. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000198428 .0096382990 156. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000125333 .0096382277 235. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000114449 .0096382220 312. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0001156560 .0096424832 100. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000141317 .0096382409 181. 680. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000116044 .0096382230 266. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000111416 .0096382208 383. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000269076 .0108089384 77. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000140116 .0097198561 150. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000116943 .0096443890 223. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000111573 .0096388151 272. 679. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000171897 .0097201436 103. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000113335 .0096388168 205. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000110033 .0096382334 323. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000109823 .0096382207 441. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000139243 .0096444469 137. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000110256 .0096382335 272. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000109816 .0096382203 422. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000109808 .0096382202 588. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000124154 .0096388297 171. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000109867 .0096382207 342. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000109808 .0096382202 539. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000109807 .0096382202 716. 682. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0045711346 .0106768459 35. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000248815 .0096382615 68. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000108898 .0096382220 100. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000109057 .0096382207 137. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000245087 .0096383975 57. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000114162 .0096382233 114. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000110328 .0096382206 168. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000109864 .0096382203 222. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000154076 .0096382838 76. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000112362 .0096382219 148. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000110077 .0096382205 201. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000109849 .0096382204 272. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000138625 .0096382516 94. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000111372 .0096382211 184. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000109937 .0096382203 275. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000109817 .0096382202 366. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000109895 .0096383066 73. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000109821 .0096382205 144. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000109821 .0096382204 205. 691. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000109821 .0096382204 260. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000109862 .0096382205 98. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000109805 .0096382202 201. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000109805 .0096382202 315. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000109805 .0096382202 415. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000109878 .0096382206 139. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000109821 .0096382204 258. 690. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000109821 .0096382204 382. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000109821 .0096382204 518. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000109861 .0096382204 173. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000109805 .0096382202 340. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000109805 .0096382202 479. 679. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000109805 .0096382202 635. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000192601 .0096388144 46. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000115186 .0096382257 90. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000110503 .0096382206 144. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000109906 .0096382202 191. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000135077 .0096382474 77. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000111119 .0096382208 151. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000109901 .0096382202 214. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000109814 .0096382202 286. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000124394 .0096382313 100. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000110377 .0096382205 196. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000109835 .0096382202 294. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000109809 .0096382202 404. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000120012 .0096382270 130. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000110123 .0096382204 258. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000109819 .0096382202 384. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000109808 .0096382202 502. 677. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000117768 .0096386482 78. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000109858 .0096382224 151. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000109808 .0096382202 226. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000109807 .0096382202 300. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000110396 .0096382244 122. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000109808 .0096382202 242. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000109807 .0096382202 361. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000109807 .0096382202 461. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000109905 .0096382207 157. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000109807 .0096382202 312. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000109807 .0096382202 465. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000109807 .0096382202 635. 669. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000109860 .0096382204 198. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000109807 .0096382202 391. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000109807 .0096382202 587. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000109807 .0096382202 780. 692. a=11.0+10.0*\cos\pi x, c=1, u=xy, Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .1832929082 .2172463935 37. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .1520702671 .1633012772 71. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .1270717013 .1323158934 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .1063290144 .1092156380 137. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .1547849993 .1691014739 59. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .1081302375 .1117456947 107. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0758430926 .0772666961 158. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0532377894 .0539735173 211. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .1308259989 .1389776494 80. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0768163782 .0785114113 157. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0452395989 .0458876043 234. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0266578135 .0270333637 310. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .1104174049 .1156511500 90. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0544840547 .0554506971 177. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0269532307 .0273584357 266. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0133400776 .0136524940 386. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0002628343 .0079773273 77. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000730684 .0041623743 149. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000326023 .0031226974 202. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000182913 .0026838128 269. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000766934 .0041951288 103. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000188641 .0026868525 220. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000088352 .0023198283 330. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000058343 .0021714050 410. 676. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000352614 .0031413970 137. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000090836 .0023205149 271. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000052363 .0021280365 430. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000042356 .0020513947 555. 672. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000203407 .0026945209 171. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000061025 .0021718513 338. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000042848 .0020514381 526. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000038329 .0020049115 676. 674. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .1291410709 .1292407664 34. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0749182008 .0750266283 67. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0434143821 .0435645279 100. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0250955562 .0253331918 148. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0762937784 .0764070292 58. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0263847641 .0266138320 112. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0091234170 .0097344611 168. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0031492961 .0046225498 222. 681. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0442060740 .0443590234 68. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0086614835 .0093029643 134. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0016267004 .0037540399 198. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0002777966 .0033942403 263. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0265120045 .0267412792 84. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0031480297 .0046218111 184. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0003618181 .0034016851 276. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000374427 .0033825165 365. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000031343 .0033858004 72. 680. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000031275 .0033832926 131. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000031274 .0033831623 193. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000031274 .0033831091 258. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000083093 .0033826520 98. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000082946 .0033825336 193. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000082944 .0033824759 308. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000082943 .0033824231 410. 675. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000031270 .0033830603 129. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000031264 .0033829883 254. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000031263 .0033829181 380. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000031262 .0033828510 507. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000083026 .0033825566 172. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000082926 .0033824683 318. 674. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000082925 .0033823929 475. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000082924 .0033823202 632. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0550349347 .0550982856 46. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0115653596 .0117349670 90. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0024271467 .0031162682 142. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0005072797 .0020179327 176. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0124039468 .0125635728 72. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0005911785 .0020406625 141. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000274910 .0019532910 212. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000036817 .0019531028 282. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0028249225 .0034355678 102. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000300009 .0019533282 203. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000035120 .0019531026 303. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000035011 .0019531026 403. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0006434146 .0020564245 130. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000037888 .0019531033 256. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000035014 .0019531026 371. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000035053 .0019531026 492. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000041868 .0019539021 77. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000035183 .0019531065 151. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000035088 .0019531027 234. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000035085 .0019531026 319. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000035830 .0019531169 122. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000035087 .0019531027 239. 673. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000035085 .0019531026 344. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000035084 .0019531026 457. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000035227 .0019531054 156. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000035085 .0019531026 309. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000035084 .0019531026 473. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000035084 .0019531026 616. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000035142 .0019531041 196. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000035085 .0019531026 389. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000035084 .0019531026 581. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000035084 .0019531026 774. 667. a=1, c=1+xy, u=x^2-y^2, Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0002059471 .0035862310 36. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0000021002 .0027868217 70. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000015784 .0027640400 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000015591 .0027623278 138. 668. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0000024466 .0027870865 54. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000015598 .0027623286 106. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000015574 .0027621409 161. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621364 234. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000016051 .0027640610 81. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000015574 .0027621409 158. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 229. 680. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 282. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000015634 .0027623313 90. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621365 178. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 293. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 390. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000022910 .0031028738 77. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000016141 .0027862328 137. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000015621 .0027640096 205. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000015578 .0027623248 279. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000016146 .0027863697 112. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000015579 .0027623251 223. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621408 314. 678. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621364 408. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000015625 .0027640315 138. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621408 295. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 438. 680. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 544. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000015582 .0027623283 172. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621364 354. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 522. 673. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 674. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 35. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 72. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 114. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 151. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 58. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 112. 678. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 148. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 198. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 67. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 132. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 210. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 294. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 94. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 186. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 277. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 330. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 66. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 131. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 216. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 285. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 107. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 211. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 304. 682. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 382. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 128. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 255. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 414. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 541. 701. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 159. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 317. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 473. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 675. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000015653 .0027626160 46. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621378 89. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 132. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000015573 .0027621363 176. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000015576 .0027621427 72. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 149. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 222. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000015573 .0027621363 296. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621368 103. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 203. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 302. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000015573 .0027621363 394. 679. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621364 125. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 247. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 371. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000015573 .0027621363 491. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000015631 .0027626018 77. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621377 160. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 240. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000015573 .0027621363 319. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000015575 .0027621424 117. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 232. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 345. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000015573 .0027621363 457. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621368 162. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 321. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 463. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000015573 .0027621363 617. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621364 195. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 390. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 585. 667. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000015573 .0027621363 773. 0. a=1, c=2+\cos(\pi y), u=\cos(\pi x), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0028494295 .0218267247 36. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0001619969 .0070039793 71. 671. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000245007 .0068231515 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000112468 .0068160728 138. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0002237827 .0071037520 60. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000132964 .0068162893 118. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000081940 .0068152564 176. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000074537 .0068152026 234. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000494864 .0068314285 79. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000087865 .0068152833 142. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000074382 .0068152000 211. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000072134 .0068151917 307. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000227411 .0068176367 100. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000079067 .0068152170 195. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000072645 .0068151930 293. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000071624 .0068151899 358. 680. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000214936 .0076727447 69. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000099415 .0068767239 136. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000078121 .0068201375 223. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000073072 .0068157178 296. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000127787 .0068774848 112. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000074730 .0068157267 205. 700. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000071582 .0068152062 304. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000071364 .0068151906 406. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000098440 .0068203240 149. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000071805 .0068152083 294. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000071356 .0068151901 406. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000071345 .0068151893 564. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000084723 .0068157801 185. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000071415 .0068151921 360. 680. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000071345 .0068151894 508. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000071345 .0068151892 713. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000252347 .0068182098 40. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000079500 .0068153345 76. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000072790 .0068152783 113. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000071686 .0068152616 131. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000115980 .0068153199 51. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000074116 .0068151993 99. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000071678 .0068151946 166. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000071388 .0068151932 220. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000097451 .0068153227 74. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000072805 .0068152385 147. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000071495 .0068152278 218. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000071375 .0068152221 292. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000088971 .0068152297 93. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000072201 .0068151973 166. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000071404 .0068151944 248. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000071346 .0068151932 361. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000071532 .0068157780 72. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000071370 .0068153116 143. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000071366 .0068152757 213. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000071365 .0068152614 283. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000071419 .0068152071 107. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000071343 .0068151962 192. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000071342 .0068151942 288. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000071342 .0068151931 417. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000071441 .0068152674 139. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000071363 .0068152368 274. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000071362 .0068152278 411. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000071362 .0068152222 508. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000071409 .0068152048 171. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000071342 .0068151964 341. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000071342 .0068151943 510. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000071341 .0068151931 641. 680. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000114012 .0068161023 46. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000073822 .0068151960 89. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000071585 .0068151895 132. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000071370 .0068151892 188. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000084716 .0068152208 76. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000071869 .0068151898 150. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000071372 .0068151892 223. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000071346 .0068151891 296. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000079181 .0068152006 104. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000071569 .0068151894 195. 694. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000071353 .0068151891 291. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000071345 .0068151891 387. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000076995 .0068151961 125. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000071473 .0068151893 250. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000071348 .0068151891 372. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000071345 .0068151891 501. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000077156 .0068159713 82. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000071392 .0068151928 161. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000071346 .0068151892 231. 673. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000071345 .0068151891 299. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000071921 .0068152024 117. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000071346 .0068151892 231. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000071345 .0068151891 344. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000071345 .0068151891 463. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000071480 .0068151922 162. 693. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000071345 .0068151892 311. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000071345 .0068151891 463. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000071345 .0068151891 618. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000071412 .0068151910 196. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000071345 .0068151892 393. 671. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000071345 .0068151891 588. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000071345 .0068151891 782. 0. a=1, c=1, gamma=2+\cos(\pi x), u=\sin(\pi x)+\sin(\pi y), Robin MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0029806393 .0188345410 36. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0000821403 .0097298571 71. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000179757 .0096445282 105. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000110978 .0096388217 142. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0001353862 .0097420541 61. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000125542 .0096388332 119. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000089541 .0096382331 176. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000083362 .0096382210 215. 680. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000338321 .0096451993 73. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000093966 .0096382337 143. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000083258 .0096382207 226. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000081601 .0096382208 313. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000183812 .0096389406 99. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000086826 .0096382207 195. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000081957 .0096382208 266. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000081311 .0096382209 353. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000232978 .0108083323 76. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000108592 .0097197900 150. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000087365 .0096443751 223. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000082691 .0096388122 294. 681. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000138428 .0097200179 103. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000084202 .0096388123 205. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000081378 .0096382338 306. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000081200 .0096382214 433. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000107532 .0096444058 147. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000081567 .0096382337 271. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000081193 .0096382210 407. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000081187 .0096382209 582. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000093733 .0096388142 184. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000081237 .0096382213 339. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000081187 .0096382209 510. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000081186 .0096382209 726. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000293738 .0096390603 34. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000089792 .0096382208 67. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000082682 .0096382208 99. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000081516 .0096382209 131. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000129995 .0096382594 56. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000084025 .0096382204 113. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000081543 .0096382209 168. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000081237 .0096382209 223. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000107843 .0096382295 75. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000082646 .0096382206 149. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000081330 .0096382209 222. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000081206 .0096382210 264. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000098930 .0096382228 84. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000082053 .0096382207 167. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000081252 .0096382209 274. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000081191 .0096382209 367. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000081245 .0096382281 73. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000081191 .0096382210 144. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000081191 .0096382210 214. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000081191 .0096382210 261. 687. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000081221 .0096382209 97. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000081185 .0096382209 193. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000081185 .0096382209 288. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000081185 .0096382209 418. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000081227 .0096382209 140. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000081191 .0096382210 276. 702. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000081191 .0096382210 382. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000081191 .0096382210 509. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000081221 .0096382209 160. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000081185 .0096382209 344. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000081185 .0096382209 495. 701. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000081185 .0096382209 633. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000123036 .0096386871 46. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000083546 .0096382226 90. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000081426 .0096382209 132. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000081213 .0096382209 189. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000094390 .0096382243 77. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000081714 .0096382207 150. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000081215 .0096382209 223. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000081188 .0096382209 283. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000088921 .0096382199 99. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000081413 .0096382208 195. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000081195 .0096382209 292. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000081187 .0096382209 394. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000086673 .0096382197 130. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000081313 .0096382209 256. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000081190 .0096382209 382. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000081187 .0096382209 509. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000085718 .0096386416 78. 676. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000081210 .0096382231 151. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000081187 .0096382209 226. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000081186 .0096382209 299. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000081537 .0096382245 118. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000081187 .0096382209 241. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000081186 .0096382209 361. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000081186 .0096382209 463. 673. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000081264 .0096382212 157. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000081187 .0096382209 310. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000081186 .0096382209 463. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000081186 .0096382209 618. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000081230 .0096382209 197. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000081187 .0096382209 391. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000081186 .0096382209 583. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000081186 .0096382209 776. 0. a=11.0+10.0*\cos\pi x, c=1+xy, gamma=2+\cos(\pi x), u=xy, Robin MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0459341404 .1088892429 36. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0090609826 .0474272812 71. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0028376033 .0278080104 104. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0016939079 .0183046025 138. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0103054865 .0540409002 60. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0020326487 .0204542736 117. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0008764852 .0102965976 157. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0004282372 .0060971432 209. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0042192811 .0350151192 72. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0010033208 .0111967470 156. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0003482071 .0052237660 234. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0001554229 .0032405529 311. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0027918539 .0247400352 90. 681. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0005362482 .0069163428 177. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0001679320 .0033370529 264. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000714548 .0023914639 386. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0002339214 .0074913093 76. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000673724 .0040605069 148. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000305288 .0030899897 215. 684. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000172875 .0026705608 268. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000698118 .0040805449 103. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000177233 .0026725016 203. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000083009 .0023163326 329. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000053760 .0021701878 427. 673. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000324488 .0031019565 136. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000085075 .0023168191 270. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000047695 .0021272191 405. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000037688 .0020511099 569. 696. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000188573 .0026777774 170. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000056084 .0021705245 338. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000038123 .0020511448 506. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000033677 .0020048013 682. 694. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0019013209 .0039491600 35. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000104466 .0033832192 67. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000050552 .0033830152 100. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000033074 .0033829290 134. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000221644 .0033828838 58. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000080126 .0033824090 113. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000073138 .0033822845 166. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000072362 .0033821734 222. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000059911 .0033829677 75. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000030549 .0033827536 132. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000030022 .0033825928 197. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000029949 .0033824391 279. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000096198 .0033824853 93. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000073294 .0033822187 184. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000072227 .0033820260 275. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000072137 .0033818387 367. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000030034 .0033856377 74. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000029949 .0033831672 133. 686. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000029946 .0033830109 194. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000029945 .0033829290 257. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000072237 .0033825703 97. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000072153 .0033823970 210. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000072152 .0033822816 314. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000072151 .0033821711 417. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000029943 .0033829116 128. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000029936 .0033827524 255. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000029934 .0033825948 389. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000029933 .0033824407 549. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000072210 .0033824195 173. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000072133 .0033822163 329. 679. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000072132 .0033820255 475. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000072131 .0033818379 653. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000070339 .0019540291 49. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000032984 .0019530999 96. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000031050 .0019530917 143. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000030806 .0019530912 189. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000038460 .0019531256 72. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000031127 .0019530921 142. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000030782 .0019530912 212. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000030759 .0019530912 280. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000034916 .0019531042 99. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000030902 .0019530915 195. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000030764 .0019530912 294. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000030758 .0019530912 402. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000033660 .0019530994 129. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000030837 .0019530914 258. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000030760 .0019530912 376. 678. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000030758 .0019530912 494. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000036156 .0019538812 77. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000030832 .0019530950 151. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000030760 .0019530912 227. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000030758 .0019530912 302. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000031319 .0019531043 123. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000030759 .0019530912 242. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000030758 .0019530912 347. 676. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000030758 .0019530912 460. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000030861 .0019530936 157. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000030758 .0019530912 311. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000030758 .0019530912 464. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000030758 .0019530912 618. 697. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000030800 .0019530924 197. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000030758 .0019530912 390. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000030758 .0019530912 584. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000030758 .0019530912 774. 672. >