HELMHOLTZ FORTRAN90/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel. The number of processors available = 1 The number of threads available = 1 The region is [-1,1] x [-1,1]. The number of nodes in the X direction is M = 500 The number of nodes in the Y direction is N = 500 Number of variables in linear system M * N = 250000 The scalar coefficient in the Helmholtz equation is ALPHA = 0.250000 The relaxation value is OMEGA = 1.10000 The error tolerance is TOL = 0.100000E-07 The maximum number of Jacobi iterations is IT_MAX = 100 Right hand side l2 norm = 1458.46 1 Residual RMS 0.234289E-07 2 Residual RMS 0.234173E-07 3 Residual RMS 0.234096E-07 4 Residual RMS 0.234033E-07 5 Residual RMS 0.233978E-07 6 Residual RMS 0.233929E-07 7 Residual RMS 0.233884E-07 8 Residual RMS 0.233842E-07 9 Residual RMS 0.233802E-07 10 Residual RMS 0.233764E-07 11 Residual RMS 0.233729E-07 12 Residual RMS 0.233694E-07 13 Residual RMS 0.233661E-07 14 Residual RMS 0.233629E-07 15 Residual RMS 0.233598E-07 16 Residual RMS 0.233568E-07 17 Residual RMS 0.233538E-07 18 Residual RMS 0.233510E-07 19 Residual RMS 0.233482E-07 20 Residual RMS 0.233455E-07 21 Residual RMS 0.233428E-07 22 Residual RMS 0.233402E-07 23 Residual RMS 0.233376E-07 24 Residual RMS 0.233351E-07 25 Residual RMS 0.233326E-07 26 Residual RMS 0.233302E-07 27 Residual RMS 0.233278E-07 28 Residual RMS 0.233255E-07 29 Residual RMS 0.233231E-07 30 Residual RMS 0.233209E-07 31 Residual RMS 0.233186E-07 32 Residual RMS 0.233164E-07 33 Residual RMS 0.233142E-07 34 Residual RMS 0.233120E-07 35 Residual RMS 0.233098E-07 36 Residual RMS 0.233077E-07 37 Residual RMS 0.233056E-07 38 Residual RMS 0.233035E-07 39 Residual RMS 0.233015E-07 40 Residual RMS 0.232994E-07 41 Residual RMS 0.232974E-07 42 Residual RMS 0.232954E-07 43 Residual RMS 0.232934E-07 44 Residual RMS 0.232915E-07 45 Residual RMS 0.232895E-07 46 Residual RMS 0.232876E-07 47 Residual RMS 0.232857E-07 48 Residual RMS 0.232838E-07 49 Residual RMS 0.232819E-07 50 Residual RMS 0.232801E-07 51 Residual RMS 0.232782E-07 52 Residual RMS 0.232764E-07 53 Residual RMS 0.232746E-07 54 Residual RMS 0.232727E-07 55 Residual RMS 0.232709E-07 56 Residual RMS 0.232692E-07 57 Residual RMS 0.232674E-07 58 Residual RMS 0.232656E-07 59 Residual RMS 0.232639E-07 60 Residual RMS 0.232621E-07 61 Residual RMS 0.232604E-07 62 Residual RMS 0.232587E-07 63 Residual RMS 0.232570E-07 64 Residual RMS 0.232553E-07 65 Residual RMS 0.232536E-07 66 Residual RMS 0.232519E-07 67 Residual RMS 0.232502E-07 68 Residual RMS 0.232486E-07 69 Residual RMS 0.232469E-07 70 Residual RMS 0.232453E-07 71 Residual RMS 0.232437E-07 72 Residual RMS 0.232420E-07 73 Residual RMS 0.232404E-07 74 Residual RMS 0.232388E-07 75 Residual RMS 0.232372E-07 76 Residual RMS 0.232356E-07 77 Residual RMS 0.232340E-07 78 Residual RMS 0.232324E-07 79 Residual RMS 0.232309E-07 80 Residual RMS 0.232293E-07 81 Residual RMS 0.232277E-07 82 Residual RMS 0.232262E-07 83 Residual RMS 0.232247E-07 84 Residual RMS 0.232231E-07 85 Residual RMS 0.232216E-07 86 Residual RMS 0.232201E-07 87 Residual RMS 0.232185E-07 88 Residual RMS 0.232170E-07 89 Residual RMS 0.232155E-07 90 Residual RMS 0.232140E-07 91 Residual RMS 0.232125E-07 92 Residual RMS 0.232110E-07 93 Residual RMS 0.232096E-07 94 Residual RMS 0.232081E-07 95 Residual RMS 0.232066E-07 96 Residual RMS 0.232051E-07 97 Residual RMS 0.232037E-07 98 Residual RMS 0.232022E-07 99 Residual RMS 0.232008E-07 100 Residual RMS 0.231993E-07 Total number of iterations 101 Computed U l2 norm : 0.640273 Computed U_EXACT l2 norm : 266.133 Error l2 norm: 265.517 Elapsed wall clock time = 0.00000 HELMHOLTZ Normal end of execution.