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 $129 \times 129$ 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-361% gsc++ -:m1000000 [ Meroon V3 Paques2001+1 $Revision: 1.1 $ ] Gambit v4.1.2 > (load "all") "/export/users/lucier/programs/615project/2007/all.o1" > (load "final-tests") "/export/users/lucier/programs/615project/2007/final-tests.o1" > (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. .0004378261 .0072326137 11. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0000078173 .0055800823 21. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000063913 .0055292304 31. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000062459 .0055248819 41. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0000082085 .0055809129 16. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000062513 .0055248850 31. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000062299 .0055242937 46. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242760 62. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000065191 .0055293172 21. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000062304 .0055242940 42. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242754 63. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 82. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000062747 .0055248968 26. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000062294 .0055242761 52. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 78. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 103. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000094709 .0062323143 21. 203. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000064934 .0055777389 42. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000062558 .0055290945 63. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000062330 .0055248680 84. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000064969 .0055782897 32. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000062335 .0055248691 62. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000062295 .0055242934 100. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242760 133. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000062591 .0055291851 45. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000062296 .0055242934 88. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242754 132. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 175. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000062357 .0055248829 55. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242760 110. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 163. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 216. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 10. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 19. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 28. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 38. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 15. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 28. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 41. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 55. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 18. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 37. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 55. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 74. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 23. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 46. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 68. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 91. 195. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 21. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 41. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 60. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 80. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 29. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 59. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 89. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 118. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 39. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 78. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 116. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 154. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 48. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 96. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 144. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 205. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000062601 .0055252170 13. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000062295 .0055242783 23. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 34. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 46. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000062304 .0055242879 18. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 35. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 52. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 69. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000062295 .0055242764 24. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 47. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 71. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 93. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000062294 .0055242754 30. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 60. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 88. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 117. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000062518 .0055251896 23. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000062294 .0055242780 44. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 66. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 88. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000062302 .0055242874 33. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 64. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 95. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 126. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000062295 .0055242763 42. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 83. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 124. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 165. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000062294 .0055242754 52. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 103. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 153. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 203. 0. a=1, c=1, u=\cos(\pi x), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0054358964 .0390809425 11. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0004739971 .0142387214 20. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000986245 .0136616518 30. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000488106 .0136340656 40. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0006288170 .0145116072 15. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000571341 .0136354312 26. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000353715 .0136302541 39. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000320064 .0136299067 52. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0001794943 .0136995623 17. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000380616 .0136304427 39. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000319522 .0136298885 59. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000309306 .0136298285 77. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000927813 .0136430435 25. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000341310 .0136300105 49. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000311711 .0136298380 72. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000307036 .0136298158 97. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000962161 .0154572028 23. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000434194 .0137713190 46. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000337677 .0136432949 68. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000314236 .0136316147 90. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000559057 .0137752384 34. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000322004 .0136316833 67. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000307052 .0136298958 100. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000305904 .0136298200 134. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000428556 .0136444298 44. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000308208 .0136299127 88. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000305853 .0136298169 133. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000305779 .0136298112 175. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000367499 .0136320551 55. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000306219 .0136298316 109. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000305782 .0136298121 164. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000305775 .0136298103 211. 192. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000986649 .0136465291 9. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000343911 .0136309715 17. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000312712 .0136305333 25. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000307536 .0136303998 33. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000509780 .0136307764 12. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000319269 .0136298910 25. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000307404 .0136298541 37. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000305968 .0136298431 49. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000430848 .0136308724 16. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000313215 .0136302129 33. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000306671 .0136301274 49. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000306063 .0136300818 66. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000390511 .0136301256 21. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000310072 .0136298752 42. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000306056 .0136298523 61. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000305757 .0136298427 88. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000308478 .0136338458 22. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000306125 .0136307996 44. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000306054 .0136305142 66. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000306042 .0136303989 87. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000306818 .0136299558 32. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000305757 .0136298669 63. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000305738 .0136298505 95. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000305735 .0136298419 126. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000307121 .0136304496 42. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000306019 .0136302000 84. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000306001 .0136301273 125. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000305999 .0136300827 166. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000306654 .0136299371 52. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000305746 .0136298687 103. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000305733 .0136298515 153. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000305730 .0136298423 205. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000512079 .0136322464 12. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000318329 .0136298421 24. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000307050 .0136298126 35. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000305914 .0136298102 46. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000370979 .0136299923 18. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000308494 .0136298150 35. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000305923 .0136298102 53. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000305783 .0136298099 66. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000343745 .0136298904 23. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000306928 .0136298120 46. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000305817 .0136298100 68. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000305776 .0136298099 90. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000333035 .0136298603 29. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000306429 .0136298110 59. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000305793 .0136298100 88. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000305775 .0136298099 118. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000332675 .0136314300 23. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000306015 .0136298197 45. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000305780 .0136298102 66. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000305774 .0136298099 88. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000308897 .0136298604 32. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000305786 .0136298107 64. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000305774 .0136298099 95. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000305774 .0136298099 126. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000306843 .0136298308 42. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000305779 .0136298103 83. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000305774 .0136298099 124. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000305774 .0136298099 165. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000306505 .0136298241 51. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000305778 .0136298101 102. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000305774 .0136298099 153. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000305774 .0136298099 203. 0. a=1, c=1, u=\sin(\pi x)+\sin(\pi y), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0695028503 .1050213908 9. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0042315813 .0204351142 18. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0002066308 .0193048663 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0001751082 .0192798781 35. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0037306023 .0215176674 14. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0002335703 .0192824401 30. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000699977 .0192763915 44. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000511290 .0192761127 58. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0006709051 .0194162422 20. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000785120 .0192766178 39. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000501485 .0192761084 59. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000457822 .0192760629 77. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0003520284 .0192986948 25. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000565372 .0192762118 49. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000464192 .0192760707 73. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000445657 .0192760536 97. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0001085239 .0216786406 23. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000561681 .0194529958 45. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000468198 .0192913672 68. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000446456 .0192778485 90. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000689349 .0194545713 34. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000453642 .0192778626 67. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000440173 .0192760999 100. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000439286 .0192760507 132. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000557968 .0192917440 44. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000441123 .0192761012 88. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000439253 .0192760491 132. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000439215 .0192760487 176. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000497369 .0192779604 56. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000439496 .0192760510 110. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000439215 .0192760487 164. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000439213 .0192760487 219. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0088256113 .0212346981 10. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000897298 .0192763387 20. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000435390 .0192760678 29. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000436320 .0192760567 38. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000910865 .0192772849 14. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000456536 .0192760733 28. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000441263 .0192760516 43. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000439415 .0192760492 56. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000613843 .0192765527 19. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000449599 .0192760669 38. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000440459 .0192760553 55. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000439545 .0192760542 74. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000552263 .0192762905 23. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000445416 .0192760555 46. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000439706 .0192760493 68. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000439228 .0192760488 91. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000440691 .0192768504 23. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000439442 .0192760567 44. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000439437 .0192760543 66. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000439436 .0192760542 86. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000440118 .0192760538 32. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000439184 .0192760489 63. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000439181 .0192760488 95. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000439181 .0192760488 126. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000440362 .0192760582 42. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000439438 .0192760542 83. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000439436 .0192760541 124. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000439436 .0192760541 159. 200. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000440088 .0192760518 48. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000439183 .0192760488 97. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000439181 .0192760488 145. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000439181 .0192760488 193. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000756504 .0192780611 11. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000460658 .0192760782 21. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000441990 .0192760514 32. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000439606 .0192760491 42. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000539447 .0192762387 17. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000444445 .0192760537 33. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000439587 .0192760491 50. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000439240 .0192760487 66. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000497231 .0192761340 23. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000441486 .0192760509 45. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000439322 .0192760488 67. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000439218 .0192760487 90. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000479810 .0192761019 29. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000440469 .0192760499 57. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000439258 .0192760488 85. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000439215 .0192760487 118. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000471408 .0192769312 22. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000439425 .0192760534 45. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000439216 .0192760488 67. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000439213 .0192760487 88. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000442054 .0192760609 32. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000439217 .0192760488 64. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000439213 .0192760487 96. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000439213 .0192760487 127. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000440112 .0192760515 42. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000439215 .0192760487 83. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000439213 .0192760487 125. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000439213 .0192760487 166. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000439933 .0192760505 51. 181. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000439214 .0192760487 100. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000439213 .0192760487 149. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000439213 .0192760487 199. 0. a=11.0+10.0*\cos\pi x, c=1, u=xy, Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .1876122832 .2279146610 10. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .1585512167 .1728720726 18. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .1351001050 .1422323846 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .1153106056 .1194670210 35. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .1614296035 .1795517778 14. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .1172674639 .1224455920 26. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0855909162 .0878339215 40. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0625294072 .0637850535 52. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .1391239894 .1500587771 18. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0866832755 .0893446082 36. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0541994692 .0553469584 52. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0339116915 .0346673935 70. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .1197553077 .1271519449 23. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0639787023 .0656198076 44. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0342816165 .0350925869 66. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0183802288 .0191112979 87. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0023345911 .0169872913 22. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0002655194 .0088923772 42. 174. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0001317085 .0065526935 63. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000793071 .0055447479 84. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0002842696 .0090348207 32. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000823650 .0055617285 63. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000403830 .0047143020 93. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000261580 .0043787749 124. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0001458822 .0066456793 42. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000416069 .0047183202 83. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000230491 .0042829364 124. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000177457 .0041151168 165. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000901827 .0056013172 52. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000273896 .0043814525 103. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000179582 .0041153801 154. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000155688 .0040154803 205. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .1373365850 .1375621996 10. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0847267020 .0850326358 19. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0522137428 .0526724621 28. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0320974572 .0328162737 38. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0861963243 .0865034586 15. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0336763634 .0343648729 28. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0131573365 .0147989151 42. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0051333198 .0084910564 55. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0530468642 .0535046303 19. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0124737046 .0141960308 37. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0028130529 .0073272165 54. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0005784984 .0067893981 73. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0337957562 .0344833337 23. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0051176375 .0084819693 46. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0007531993 .0068036563 68. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0001050809 .0067620969 90. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000126061 .0067795009 22. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000125125 .0067680571 41. 188. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000125124 .0067672152 60. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000125119 .0067668035 81. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000333710 .0067639137 30. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000331558 .0067630569 59. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000331523 .0067625980 88. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000331513 .0067621798 117. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000125063 .0067663855 39. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000124969 .0067658216 77. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000124957 .0067652668 117. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000124946 .0067647380 155. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000332728 .0067632446 48. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000331261 .0067625323 96. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000331241 .0067619370 144. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000331229 .0067613649 192. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0659425953 .0660918607 12. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0166038366 .0170650194 22. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0041758966 .0057191896 32. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0010466401 .0040438771 42. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0176034345 .0180406651 17. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0011916193 .0040838316 33. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000799977 .0039069005 49. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000149053 .0039061203 66. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0047493706 .0061509589 23. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000861475 .0039070335 47. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000141011 .0039061180 70. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000140062 .0039061176 94. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0012820405 .0041111973 30. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000153151 .0039061239 59. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000140078 .0039061177 89. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000140204 .0039061177 118. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000167739 .0039078986 23. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000140734 .0039061299 44. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000140336 .0039061180 67. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000140322 .0039061177 88. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000143601 .0039061783 32. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000140334 .0039061184 64. 181. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000140321 .0039061177 92. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000140320 .0039061177 122. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000141185 .0039061384 41. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000140324 .0039061179 81. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000140321 .0039061177 120. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000140320 .0039061177 160. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000140837 .0039061313 50. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000140322 .0039061178 100. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000140320 .0039061177 150. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000140320 .0039061177 199. 0. a=1, c=1+xy, u=x^2-y^2, Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0004335633 .0072257245 10. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0000078519 .0055800858 18. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000063889 .0055292304 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000062457 .0055248819 35. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0000082983 .0055809215 14. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000062511 .0055248850 26. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000062299 .0055242937 40. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242760 52. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0000065146 .0055293170 18. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000062304 .0055242940 35. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242754 53. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 70. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000062740 .0055248967 22. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000062294 .0055242761 44. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 65. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 88. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000094701 .0062323175 22. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000064934 .0055777394 42. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000062558 .0055290945 68. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000062330 .0055248680 90. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000064968 .0055782902 34. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000062335 .0055248691 67. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000062295 .0055242934 101. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242760 133. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000062591 .0055291852 45. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000062296 .0055242934 88. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242754 132. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 176. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000062357 .0055248829 56. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242760 110. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 164. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 216. 186. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 8. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 17. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 25. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 33. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 13. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 25. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 37. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 49. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 17. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 33. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 50. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 65. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 21. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 41. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 61. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 81. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 20. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 40. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 60. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 81. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 30. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 59. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 93. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 127. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 42. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 83. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 124. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 165. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 52. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 103. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 154. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 205. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000062596 .0055252170 13. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000062295 .0055242783 24. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 34. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000062293 .0055242752 46. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000062304 .0055242879 18. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 35. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 53. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000062293 .0055242752 70. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000062295 .0055242764 23. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 46. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 68. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000062293 .0055242752 91. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000062294 .0055242754 29. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 57. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 86. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000062293 .0055242752 114. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000062518 .0055251896 22. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000062294 .0055242780 42. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 63. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000062293 .0055242752 84. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000062302 .0055242874 31. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 62. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 96. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000062293 .0055242752 128. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000062295 .0055242763 43. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 84. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 124. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000062293 .0055242752 166. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000062294 .0055242754 52. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 103. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 154. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000062293 .0055242752 204. 0. a=1, c=2+\cos(\pi y), u=\cos(\pi x), Neumann MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 1. .0050343666 .0376163813 10. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0004440675 .0141948063 18. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000919131 .0136603532 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000453587 .0136339394 34. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0005794777 .0144390677 13. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000527776 .0136351985 27. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000328833 .0136302373 39. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000298281 .0136299047 52. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0001636030 .0136942412 18. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000352174 .0136304106 35. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000297583 .0136298866 55. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000288490 .0136298301 79. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000840689 .0136419968 24. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000316466 .0136299997 49. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000290540 .0136298388 73. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000286450 .0136298181 97. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000890669 .0154566952 23. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000402320 .0137712694 46. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000314137 .0136432878 67. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000292937 .0136316151 91. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000516727 .0137751212 34. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000299943 .0136316815 67. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000286480 .0136298982 100. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000285454 .0136298226 133. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000396832 .0136443896 45. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000287519 .0136299148 88. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000285409 .0136298196 123. 186. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000285344 .0136298139 164. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000341159 .0136320394 52. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000285736 .0136298341 103. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000285347 .0136298148 153. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000285340 .0136298129 204. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0000883597 .0136450131 9. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000318255 .0136309557 17. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000291341 .0136305326 25. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000286901 .0136304012 32. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000454447 .0136306353 13. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000296274 .0136298897 25. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000286626 .0136298563 37. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000285482 .0136298457 50. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000388451 .0136308079 19. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000291341 .0136302129 38. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000286101 .0136301293 56. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000285626 .0136300839 74. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000354367 .0136300923 23. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000288697 .0136298767 46. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000285541 .0136298549 69. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000285313 .0136298453 92. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000288077 .0136338557 22. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000285710 .0136308003 44. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000285637 .0136305159 65. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000285624 .0136304008 86. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000286360 .0136299581 32. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000285321 .0136298695 63. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000285302 .0136298532 95. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000285299 .0136298446 126. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000286683 .0136304509 42. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000285598 .0136302021 83. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000285580 .0136301294 125. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000285577 .0136300847 160. 191. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000286194 .0136299395 49. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000285309 .0136298713 97. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000285296 .0136298542 145. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000285293 .0136298450 193. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000453800 .0136321168 12. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000295238 .0136298414 22. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000286297 .0136298149 32. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000285441 .0136298129 43. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000338383 .0136299714 17. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000287428 .0136298170 33. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000285449 .0136298129 50. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000285346 .0136298126 66. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000316433 .0136298814 23. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000286231 .0136298144 46. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000285372 .0136298127 68. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000285341 .0136298126 91. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000307750 .0136298552 29. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000285848 .0136298135 58. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000285354 .0136298126 86. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000285341 .0136298126 114. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000309585 .0136314251 22. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000285553 .0136298223 42. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000285345 .0136298129 63. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000285340 .0136298126 84. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000288159 .0136298623 31. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000285351 .0136298134 61. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000285340 .0136298126 92. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000285340 .0136298126 123. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000286334 .0136298332 41. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000285345 .0136298129 81. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000285340 .0136298126 121. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000285340 .0136298126 167. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000286034 .0136298266 52. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000285344 .0136298128 100. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000285340 .0136298126 150. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000285340 .0136298126 199. 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. .0060855740 .0367857133 9. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0002786463 .0194991871 17. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0000711099 .0192923265 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0000444145 .0192778985 35. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0004242959 .0195468613 13. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0000500944 .0192779852 26. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0000358216 .0192760973 39. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0000333454 .0192760529 57. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0001247697 .0192962234 20. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0000375779 .0192761019 40. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0000333017 .0192760519 59. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0000326388 .0192760538 77. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0000713780 .0192787058 24. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0000347254 .0192760507 48. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0000327809 .0192760533 73. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0000325230 .0192760542 97. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0000940945 .0216732394 24. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0000435775 .0194524603 45. 184. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0000349925 .0192912534 63. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000330934 .0192778246 84. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0000555686 .0194535489 31. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000337109 .0192778245 62. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000325555 .0192761026 93. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000324798 .0192760561 124. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0000431198 .0192914105 42. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000326359 .0192761020 82. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000324771 .0192760546 124. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000324737 .0192760543 166. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000375680 .0192778332 56. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000324976 .0192760558 110. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000324738 .0192760543 165. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000324736 .0192760543 219. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0001038350 .0192804424 10. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000359346 .0192760560 20. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000330785 .0192760547 28. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000326109 .0192760560 37. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000510367 .0192763218 14. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000336031 .0192760504 28. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000326143 .0192760541 42. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000324925 .0192760546 55. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000429834 .0192761229 19. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000330621 .0192760534 37. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000325363 .0192760559 55. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000324865 .0192760560 73. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000394687 .0192760684 23. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000328175 .0192760528 46. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000324984 .0192760545 69. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000324744 .0192760545 91. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000325737 .0192761285 23. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000324813 .0192760567 43. 194. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000324808 .0192760565 60. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000324808 .0192760564 81. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000325316 .0192760544 30. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000324723 .0192760548 60. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000324721 .0192760547 89. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000324721 .0192760547 118. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000325394 .0192760555 40. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000324809 .0192760562 79. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000324807 .0192760561 117. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000324806 .0192760561 156. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000325291 .0192760535 49. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000324723 .0192760546 97. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000324722 .0192760546 145. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000324722 .0192760545 193. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000488512 .0192770994 11. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000334121 .0192760532 22. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000325689 .0192760537 32. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000324842 .0192760543 42. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000377183 .0192760571 18. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000326836 .0192760529 36. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000324851 .0192760543 53. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000324743 .0192760543 70. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000355493 .0192760444 24. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000325637 .0192760537 48. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000324769 .0192760543 71. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000324737 .0192760543 94. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000346550 .0192760446 31. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000325238 .0192760540 59. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000324750 .0192760543 89. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000324736 .0192760543 119. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000343195 .0192768758 23. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000324838 .0192760584 44. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000324737 .0192760544 66. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000324736 .0192760543 88. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000326506 .0192760593 33. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000324740 .0192760543 64. 185. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000324736 .0192760543 91. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000324736 .0192760543 121. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000325413 .0192760536 41. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000324737 .0192760543 81. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000324736 .0192760543 120. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000324736 .0192760543 160. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000325272 .0192760532 50. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000324737 .0192760543 99. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000324736 .0192760543 149. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000324736 .0192760543 198. 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. .0554728678 .1245832894 9. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 1. .0128732407 .0567582902 17. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 1. .0039404016 .0345619223 26. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 1. .0022583736 .0237098910 34. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 1. .0144146963 .0644443559 13. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 1. .0027394519 .0264154131 27. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 1. .0012960906 .0144137926 39. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 1. .0006789653 .0092367545 51. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 1. .0057535335 .0432883883 17. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 1. .0014873929 .0156151403 35. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 1. .0005699581 .0081805583 52. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 1. .0002714619 .0056574594 69. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 1. .0037875041 .0317801529 22. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 1. .0008564440 .0103724813 43. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 1. .0002956650 .0057964456 65. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 1. .0001360018 .0045671756 87. 0. MG: Richardson, r = 1, m1 = 1, m2 = 1, p = 2. .0007177077 .0153756746 21. 0. MG: Richardson, r = 2, m1 = 1, m2 = 1, p = 2. .0002380394 .0084886784 42. 0. MG: Richardson, r = 3, m1 = 1, m2 = 1, p = 2. .0001204569 .0063904209 66. 0. MG: Richardson, r = 4, m1 = 1, m2 = 1, p = 2. .0000729184 .0054677067 90. 0. MG: Richardson, r = 1, m1 = 2, m2 = 2, p = 2. .0002499820 .0085715701 34. 0. MG: Richardson, r = 2, m1 = 2, m2 = 2, p = 2. .0000750499 .0054772632 66. 0. MG: Richardson, r = 3, m1 = 2, m2 = 2, p = 2. .0000369750 .0046890523 100. 0. MG: Richardson, r = 4, m1 = 2, m2 = 2, p = 2. .0000237928 .0043687296 132. 0. MG: Richardson, r = 1, m1 = 3, m2 = 3, p = 2. .0001300750 .0064441806 45. 0. MG: Richardson, r = 2, m1 = 3, m2 = 3, p = 2. .0000379126 .0046914062 87. 0. MG: Richardson, r = 3, m1 = 3, m2 = 3, p = 2. .0000208170 .0042758175 132. 0. MG: Richardson, r = 4, m1 = 3, m2 = 3, p = 2. .0000157784 .0041123910 174. 0. MG: Richardson, r = 1, m1 = 4, m2 = 4, p = 2. .0000806496 .0055004821 55. 0. MG: Richardson, r = 2, m1 = 4, m2 = 4, p = 2. .0000247963 .0043703814 109. 0. MG: Richardson, r = 3, m1 = 4, m2 = 4, p = 2. .0000159622 .0041125673 163. 0. MG: Richardson, r = 4, m1 = 4, m2 = 4, p = 2. .0000136852 .0040143763 217. 185. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 1. .0031867729 .0075889941 9. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 1. .0000280010 .0067673121 17. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 1. .0000193581 .0067660373 24. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 1. .0000132728 .0067653810 32. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 1. .0000619903 .0067650276 13. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 1. .0000318307 .0067620768 25. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 1. .0000292219 .0067611053 36. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 1. .0000289166 .0067602388 49. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 1. .0000226246 .0067654236 17. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 1. .0000122138 .0067639807 33. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 1. .0000119968 .0067627370 48. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 1. .0000119658 .0067615428 65. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 1. .0000378955 .0067626162 21. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 1. .0000292644 .0067605908 41. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 1. .0000288427 .0067590958 61. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 1. .0000288061 .0067576512 80. 0. MG: Jacobi, r = 1, m1 = 1, m2 = 1, p = 2. .0000120472 .0067783327 20. 0. MG: Jacobi, r = 2, m1 = 1, m2 = 1, p = 2. .0000119816 .0067670614 40. 0. MG: Jacobi, r = 3, m1 = 1, m2 = 1, p = 2. .0000119796 .0067660181 59. 0. MG: Jacobi, r = 4, m1 = 1, m2 = 1, p = 2. .0000119785 .0067653837 79. 0. MG: Jacobi, r = 1, m1 = 2, m2 = 2, p = 2. .0000289883 .0067632549 29. 0. MG: Jacobi, r = 2, m1 = 2, m2 = 2, p = 2. .0000288403 .0067619888 59. 0. MG: Jacobi, r = 3, m1 = 2, m2 = 2, p = 2. .0000288377 .0067610843 93. 0. MG: Jacobi, r = 4, m1 = 2, m2 = 2, p = 2. .0000288366 .0067602220 125. 0. MG: Jacobi, r = 1, m1 = 3, m2 = 3, p = 2. .0000119735 .0067652296 41. 0. MG: Jacobi, r = 2, m1 = 3, m2 = 3, p = 2. .0000119645 .0067639876 83. 0. MG: Jacobi, r = 3, m1 = 3, m2 = 3, p = 2. .0000119625 .0067627556 124. 0. MG: Jacobi, r = 4, m1 = 3, m2 = 3, p = 2. .0000119606 .0067615567 164. 0. MG: Jacobi, r = 1, m1 = 4, m2 = 4, p = 2. .0000289238 .0067621681 51. 0. MG: Jacobi, r = 2, m1 = 4, m2 = 4, p = 2. .0000288114 .0067605742 102. 0. MG: Jacobi, r = 3, m1 = 4, m2 = 4, p = 2. .0000288092 .0067590931 152. 0. MG: Jacobi, r = 4, m1 = 4, m2 = 4, p = 2. .0000288077 .0067576463 203. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 1. .0000257930 .0039085342 12. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 1. .0000131867 .0039060709 23. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 1. .0000124181 .0039060306 34. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 1. .0000123209 .0039060271 46. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 1. .0000153505 .0039062205 18. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 1. .0000124489 .0039060330 35. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 1. .0000123114 .0039060270 52. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 1. .0000123024 .0039060266 69. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 1. .0000139532 .0039061152 23. 188. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 1. .0000123593 .0039060291 45. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 1. .0000123042 .0039060267 67. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 1. .0000123019 .0039060266 90. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 1. .0000134541 .0039060847 29. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 1. .0000123331 .0039060280 57. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 1. .0000123027 .0039060267 85. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 1. .0000123018 .0039060266 113. 0. MG: Gauss-Seidel, r = 1, m1 = 1, m2 = 1, p = 2. .0000144851 .0039077297 22. 0. MG: Gauss-Seidel, r = 2, m1 = 1, m2 = 1, p = 2. .0000123333 .0039060374 42. 0. MG: Gauss-Seidel, r = 3, m1 = 1, m2 = 1, p = 2. .0000123029 .0039060269 62. 0. MG: Gauss-Seidel, r = 4, m1 = 1, m2 = 1, p = 2. .0000123019 .0039060266 82. 0. MG: Gauss-Seidel, r = 1, m1 = 2, m2 = 2, p = 2. .0000125511 .0039060753 31. 0. MG: Gauss-Seidel, r = 2, m1 = 2, m2 = 2, p = 2. .0000123027 .0039060271 60. 0. MG: Gauss-Seidel, r = 3, m1 = 2, m2 = 2, p = 2. .0000123018 .0039060266 91. 0. MG: Gauss-Seidel, r = 4, m1 = 2, m2 = 2, p = 2. .0000123018 .0039060266 121. 0. MG: Gauss-Seidel, r = 1, m1 = 3, m2 = 3, p = 2. .0000123673 .0039060420 40. 0. MG: Gauss-Seidel, r = 2, m1 = 3, m2 = 3, p = 2. .0000123020 .0039060268 80. 0. MG: Gauss-Seidel, r = 3, m1 = 3, m2 = 3, p = 2. .0000123018 .0039060266 120. 0. MG: Gauss-Seidel, r = 4, m1 = 3, m2 = 3, p = 2. .0000123018 .0039060266 160. 0. MG: Gauss-Seidel, r = 1, m1 = 4, m2 = 4, p = 2. .0000123420 .0039060364 50. 0. MG: Gauss-Seidel, r = 2, m1 = 4, m2 = 4, p = 2. .0000123019 .0039060267 99. 0. MG: Gauss-Seidel, r = 3, m1 = 4, m2 = 4, p = 2. .0000123018 .0039060266 148. 0. MG: Gauss-Seidel, r = 4, m1 = 4, m2 = 4, p = 2. .0000123018 .0039060266 197. 0. >