HELMHOLTZ FORTRAN77/OpenMP version A program for the 2D Helmholtz equation. The number of processors = 1 The number of threads = 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 The scalar coefficient 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 RMS = 1458.46 Jacobi residual RMS 0.585723E-02 Jacobi residual RMS 0.585433E-02 Jacobi residual RMS 0.585240E-02 Jacobi residual RMS 0.585083E-02 Jacobi residual RMS 0.584946E-02 Jacobi residual RMS 0.584823E-02 Jacobi residual RMS 0.584710E-02 Jacobi residual RMS 0.584604E-02 Jacobi residual RMS 0.584505E-02 Jacobi residual RMS 0.584411E-02 Jacobi residual RMS 0.584321E-02 Jacobi residual RMS 0.584235E-02 Jacobi residual RMS 0.584152E-02 Jacobi residual RMS 0.584072E-02 Jacobi residual RMS 0.583995E-02 Jacobi residual RMS 0.583919E-02 Jacobi residual RMS 0.583846E-02 Jacobi residual RMS 0.583775E-02 Jacobi residual RMS 0.583705E-02 Jacobi residual RMS 0.583637E-02 Jacobi residual RMS 0.583570E-02 Jacobi residual RMS 0.583505E-02 Jacobi residual RMS 0.583441E-02 Jacobi residual RMS 0.583378E-02 Jacobi residual RMS 0.583316E-02 Jacobi residual RMS 0.583255E-02 Jacobi residual RMS 0.583196E-02 Jacobi residual RMS 0.583137E-02 Jacobi residual RMS 0.583079E-02 Jacobi residual RMS 0.583021E-02 Jacobi residual RMS 0.582965E-02 Jacobi residual RMS 0.582909E-02 Jacobi residual RMS 0.582854E-02 Jacobi residual RMS 0.582800E-02 Jacobi residual RMS 0.582746E-02 Jacobi residual RMS 0.582693E-02 Jacobi residual RMS 0.582640E-02 Jacobi residual RMS 0.582588E-02 Jacobi residual RMS 0.582537E-02 Jacobi residual RMS 0.582486E-02 Jacobi residual RMS 0.582436E-02 Jacobi residual RMS 0.582386E-02 Jacobi residual RMS 0.582336E-02 Jacobi residual RMS 0.582287E-02 Jacobi residual RMS 0.582239E-02 Jacobi residual RMS 0.582190E-02 Jacobi residual RMS 0.582143E-02 Jacobi residual RMS 0.582095E-02 Jacobi residual RMS 0.582048E-02 Jacobi residual RMS 0.582002E-02 Jacobi residual RMS 0.581955E-02 Jacobi residual RMS 0.581909E-02 Jacobi residual RMS 0.581864E-02 Jacobi residual RMS 0.581819E-02 Jacobi residual RMS 0.581774E-02 Jacobi residual RMS 0.581729E-02 Jacobi residual RMS 0.581685E-02 Jacobi residual RMS 0.581641E-02 Jacobi residual RMS 0.581597E-02 Jacobi residual RMS 0.581553E-02 Jacobi residual RMS 0.581510E-02 Jacobi residual RMS 0.581467E-02 Jacobi residual RMS 0.581424E-02 Jacobi residual RMS 0.581382E-02 Jacobi residual RMS 0.581340E-02 Jacobi residual RMS 0.581298E-02 Jacobi residual RMS 0.581256E-02 Jacobi residual RMS 0.581214E-02 Jacobi residual RMS 0.581173E-02 Jacobi residual RMS 0.581132E-02 Jacobi residual RMS 0.581091E-02 Jacobi residual RMS 0.581051E-02 Jacobi residual RMS 0.581010E-02 Jacobi residual RMS 0.580970E-02 Jacobi residual RMS 0.580930E-02 Jacobi residual RMS 0.580890E-02 Jacobi residual RMS 0.580850E-02 Jacobi residual RMS 0.580811E-02 Jacobi residual RMS 0.580772E-02 Jacobi residual RMS 0.580733E-02 Jacobi residual RMS 0.580694E-02 Jacobi residual RMS 0.580655E-02 Jacobi residual RMS 0.580616E-02 Jacobi residual RMS 0.580578E-02 Jacobi residual RMS 0.580540E-02 Jacobi residual RMS 0.580501E-02 Jacobi residual RMS 0.580463E-02 Jacobi residual RMS 0.580426E-02 Jacobi residual RMS 0.580388E-02 Jacobi residual RMS 0.580351E-02 Jacobi residual RMS 0.580313E-02 Jacobi residual RMS 0.580276E-02 Jacobi residual RMS 0.580239E-02 Jacobi residual RMS 0.580202E-02 Jacobi residual RMS 0.580165E-02 Jacobi residual RMS 0.580129E-02 Jacobi residual RMS 0.580092E-02 Jacobi residual RMS 0.580056E-02 Jacobi residual RMS 0.580019E-02 Jacobi residual RMS 0.579983E-02 Total number of iterations 101 Computed U RMS norm : 0.640273 Computed U_EXACT RMS norm : 266.133 RMS error : 265.517 Elapsed wall clock time = 0.634000 HELMHOLTZ Normal end of execution.