HELMHOLTZ C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel. Number of processors available = 8 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 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 = 1.100000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 Right hand side l2 norm = 1458.457517 1 Residual RMS 2.342892e-08 2 Residual RMS 2.341733e-08 3 Residual RMS 2.340960e-08 4 Residual RMS 2.340331e-08 5 Residual RMS 2.339784e-08 6 Residual RMS 2.339291e-08 7 Residual RMS 2.338839e-08 8 Residual RMS 2.338417e-08 9 Residual RMS 2.338021e-08 10 Residual RMS 2.337644e-08 11 Residual RMS 2.337285e-08 12 Residual RMS 2.336941e-08 13 Residual RMS 2.336609e-08 14 Residual RMS 2.336289e-08 15 Residual RMS 2.335979e-08 16 Residual RMS 2.335678e-08 17 Residual RMS 2.335385e-08 18 Residual RMS 2.335099e-08 19 Residual RMS 2.334821e-08 20 Residual RMS 2.334548e-08 21 Residual RMS 2.334282e-08 22 Residual RMS 2.334020e-08 23 Residual RMS 2.333764e-08 24 Residual RMS 2.333512e-08 25 Residual RMS 2.333265e-08 26 Residual RMS 2.333022e-08 27 Residual RMS 2.332782e-08 28 Residual RMS 2.332547e-08 29 Residual RMS 2.332315e-08 30 Residual RMS 2.332086e-08 31 Residual RMS 2.331860e-08 32 Residual RMS 2.331637e-08 33 Residual RMS 2.331416e-08 34 Residual RMS 2.331199e-08 35 Residual RMS 2.330984e-08 36 Residual RMS 2.330772e-08 37 Residual RMS 2.330561e-08 38 Residual RMS 2.330354e-08 39 Residual RMS 2.330148e-08 40 Residual RMS 2.329944e-08 41 Residual RMS 2.329743e-08 42 Residual RMS 2.329543e-08 43 Residual RMS 2.329345e-08 44 Residual RMS 2.329149e-08 45 Residual RMS 2.328954e-08 46 Residual RMS 2.328762e-08 47 Residual RMS 2.328571e-08 48 Residual RMS 2.328381e-08 49 Residual RMS 2.328193e-08 50 Residual RMS 2.328007e-08 51 Residual RMS 2.327821e-08 52 Residual RMS 2.327638e-08 53 Residual RMS 2.327455e-08 54 Residual RMS 2.327274e-08 55 Residual RMS 2.327094e-08 56 Residual RMS 2.326916e-08 57 Residual RMS 2.326738e-08 58 Residual RMS 2.326562e-08 59 Residual RMS 2.326387e-08 60 Residual RMS 2.326213e-08 61 Residual RMS 2.326040e-08 62 Residual RMS 2.325868e-08 63 Residual RMS 2.325698e-08 64 Residual RMS 2.325528e-08 65 Residual RMS 2.325359e-08 66 Residual RMS 2.325191e-08 67 Residual RMS 2.325024e-08 68 Residual RMS 2.324858e-08 69 Residual RMS 2.324693e-08 70 Residual RMS 2.324529e-08 71 Residual RMS 2.324365e-08 72 Residual RMS 2.324203e-08 73 Residual RMS 2.324041e-08 74 Residual RMS 2.323880e-08 75 Residual RMS 2.323720e-08 76 Residual RMS 2.323560e-08 77 Residual RMS 2.323402e-08 78 Residual RMS 2.323244e-08 79 Residual RMS 2.323087e-08 80 Residual RMS 2.322930e-08 81 Residual RMS 2.322774e-08 82 Residual RMS 2.322619e-08 83 Residual RMS 2.322465e-08 84 Residual RMS 2.322311e-08 85 Residual RMS 2.322158e-08 86 Residual RMS 2.322006e-08 87 Residual RMS 2.321854e-08 88 Residual RMS 2.321703e-08 89 Residual RMS 2.321552e-08 90 Residual RMS 2.321402e-08 91 Residual RMS 2.321253e-08 92 Residual RMS 2.321104e-08 93 Residual RMS 2.320956e-08 94 Residual RMS 2.320808e-08 95 Residual RMS 2.320661e-08 96 Residual RMS 2.320514e-08 97 Residual RMS 2.320368e-08 98 Residual RMS 2.320223e-08 99 Residual RMS 2.320078e-08 100 Residual RMS 2.319933e-08 Total number of iterations 101 Computed U l2 norm : 0.640273 Computed U_EXACT l2 norm : 266.133333 Error l2 norm: 265.516926 Elapsed wall clock time = 0.398829 HELMHOLTZ Normal end of execution. HELMHOLTZ C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel. Number of processors available = 8 Number of threads = 2 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 = 1.100000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 Right hand side l2 norm = 1458.457517 1 Residual RMS 2.342892e-08 2 Residual RMS 2.341733e-08 3 Residual RMS 2.340960e-08 4 Residual RMS 2.340331e-08 5 Residual RMS 2.339784e-08 6 Residual RMS 2.339291e-08 7 Residual RMS 2.338839e-08 8 Residual RMS 2.338417e-08 9 Residual RMS 2.338021e-08 10 Residual RMS 2.337644e-08 11 Residual RMS 2.337285e-08 12 Residual RMS 2.336941e-08 13 Residual RMS 2.336609e-08 14 Residual RMS 2.336289e-08 15 Residual RMS 2.335979e-08 16 Residual RMS 2.335678e-08 17 Residual RMS 2.335385e-08 18 Residual RMS 2.335099e-08 19 Residual RMS 2.334821e-08 20 Residual RMS 2.334548e-08 21 Residual RMS 2.334282e-08 22 Residual RMS 2.334020e-08 23 Residual RMS 2.333764e-08 24 Residual RMS 2.333512e-08 25 Residual RMS 2.333265e-08 26 Residual RMS 2.333022e-08 27 Residual RMS 2.332782e-08 28 Residual RMS 2.332547e-08 29 Residual RMS 2.332315e-08 30 Residual RMS 2.332086e-08 31 Residual RMS 2.331860e-08 32 Residual RMS 2.331637e-08 33 Residual RMS 2.331416e-08 34 Residual RMS 2.331199e-08 35 Residual RMS 2.330984e-08 36 Residual RMS 2.330772e-08 37 Residual RMS 2.330561e-08 38 Residual RMS 2.330354e-08 39 Residual RMS 2.330148e-08 40 Residual RMS 2.329944e-08 41 Residual RMS 2.329743e-08 42 Residual RMS 2.329543e-08 43 Residual RMS 2.329345e-08 44 Residual RMS 2.329149e-08 45 Residual RMS 2.328954e-08 46 Residual RMS 2.328762e-08 47 Residual RMS 2.328571e-08 48 Residual RMS 2.328381e-08 49 Residual RMS 2.328193e-08 50 Residual RMS 2.328007e-08 51 Residual RMS 2.327821e-08 52 Residual RMS 2.327638e-08 53 Residual RMS 2.327455e-08 54 Residual RMS 2.327274e-08 55 Residual RMS 2.327094e-08 56 Residual RMS 2.326916e-08 57 Residual RMS 2.326738e-08 58 Residual RMS 2.326562e-08 59 Residual RMS 2.326387e-08 60 Residual RMS 2.326213e-08 61 Residual RMS 2.326040e-08 62 Residual RMS 2.325868e-08 63 Residual RMS 2.325698e-08 64 Residual RMS 2.325528e-08 65 Residual RMS 2.325359e-08 66 Residual RMS 2.325191e-08 67 Residual RMS 2.325024e-08 68 Residual RMS 2.324858e-08 69 Residual RMS 2.324693e-08 70 Residual RMS 2.324529e-08 71 Residual RMS 2.324365e-08 72 Residual RMS 2.324203e-08 73 Residual RMS 2.324041e-08 74 Residual RMS 2.323880e-08 75 Residual RMS 2.323720e-08 76 Residual RMS 2.323560e-08 77 Residual RMS 2.323402e-08 78 Residual RMS 2.323244e-08 79 Residual RMS 2.323087e-08 80 Residual RMS 2.322930e-08 81 Residual RMS 2.322774e-08 82 Residual RMS 2.322619e-08 83 Residual RMS 2.322465e-08 84 Residual RMS 2.322311e-08 85 Residual RMS 2.322158e-08 86 Residual RMS 2.322006e-08 87 Residual RMS 2.321854e-08 88 Residual RMS 2.321703e-08 89 Residual RMS 2.321552e-08 90 Residual RMS 2.321402e-08 91 Residual RMS 2.321253e-08 92 Residual RMS 2.321104e-08 93 Residual RMS 2.320956e-08 94 Residual RMS 2.320808e-08 95 Residual RMS 2.320661e-08 96 Residual RMS 2.320514e-08 97 Residual RMS 2.320368e-08 98 Residual RMS 2.320223e-08 99 Residual RMS 2.320078e-08 100 Residual RMS 2.319933e-08 Total number of iterations 101 Computed U l2 norm : 0.640273 Computed U_EXACT l2 norm : 266.133333 Error l2 norm: 265.516926 Elapsed wall clock time = 0.213582 HELMHOLTZ Normal end of execution. HELMHOLTZ C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel. Number of processors available = 8 Number of threads = 4 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 = 1.100000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 Right hand side l2 norm = 1458.457517 1 Residual RMS 2.342892e-08 2 Residual RMS 2.341733e-08 3 Residual RMS 2.340960e-08 4 Residual RMS 2.340331e-08 5 Residual RMS 2.339784e-08 6 Residual RMS 2.339291e-08 7 Residual RMS 2.338839e-08 8 Residual RMS 2.338417e-08 9 Residual RMS 2.338021e-08 10 Residual RMS 2.337644e-08 11 Residual RMS 2.337285e-08 12 Residual RMS 2.336941e-08 13 Residual RMS 2.336609e-08 14 Residual RMS 2.336289e-08 15 Residual RMS 2.335979e-08 16 Residual RMS 2.335678e-08 17 Residual RMS 2.335385e-08 18 Residual RMS 2.335099e-08 19 Residual RMS 2.334821e-08 20 Residual RMS 2.334548e-08 21 Residual RMS 2.334282e-08 22 Residual RMS 2.334020e-08 23 Residual RMS 2.333764e-08 24 Residual RMS 2.333512e-08 25 Residual RMS 2.333265e-08 26 Residual RMS 2.333022e-08 27 Residual RMS 2.332782e-08 28 Residual RMS 2.332547e-08 29 Residual RMS 2.332315e-08 30 Residual RMS 2.332086e-08 31 Residual RMS 2.331860e-08 32 Residual RMS 2.331637e-08 33 Residual RMS 2.331416e-08 34 Residual RMS 2.331199e-08 35 Residual RMS 2.330984e-08 36 Residual RMS 2.330772e-08 37 Residual RMS 2.330561e-08 38 Residual RMS 2.330354e-08 39 Residual RMS 2.330148e-08 40 Residual RMS 2.329944e-08 41 Residual RMS 2.329743e-08 42 Residual RMS 2.329543e-08 43 Residual RMS 2.329345e-08 44 Residual RMS 2.329149e-08 45 Residual RMS 2.328954e-08 46 Residual RMS 2.328762e-08 47 Residual RMS 2.328571e-08 48 Residual RMS 2.328381e-08 49 Residual RMS 2.328193e-08 50 Residual RMS 2.328007e-08 51 Residual RMS 2.327821e-08 52 Residual RMS 2.327638e-08 53 Residual RMS 2.327455e-08 54 Residual RMS 2.327274e-08 55 Residual RMS 2.327094e-08 56 Residual RMS 2.326916e-08 57 Residual RMS 2.326738e-08 58 Residual RMS 2.326562e-08 59 Residual RMS 2.326387e-08 60 Residual RMS 2.326213e-08 61 Residual RMS 2.326040e-08 62 Residual RMS 2.325868e-08 63 Residual RMS 2.325698e-08 64 Residual RMS 2.325528e-08 65 Residual RMS 2.325359e-08 66 Residual RMS 2.325191e-08 67 Residual RMS 2.325024e-08 68 Residual RMS 2.324858e-08 69 Residual RMS 2.324693e-08 70 Residual RMS 2.324529e-08 71 Residual RMS 2.324365e-08 72 Residual RMS 2.324203e-08 73 Residual RMS 2.324041e-08 74 Residual RMS 2.323880e-08 75 Residual RMS 2.323720e-08 76 Residual RMS 2.323560e-08 77 Residual RMS 2.323402e-08 78 Residual RMS 2.323244e-08 79 Residual RMS 2.323087e-08 80 Residual RMS 2.322930e-08 81 Residual RMS 2.322774e-08 82 Residual RMS 2.322619e-08 83 Residual RMS 2.322465e-08 84 Residual RMS 2.322311e-08 85 Residual RMS 2.322158e-08 86 Residual RMS 2.322006e-08 87 Residual RMS 2.321854e-08 88 Residual RMS 2.321703e-08 89 Residual RMS 2.321552e-08 90 Residual RMS 2.321402e-08 91 Residual RMS 2.321253e-08 92 Residual RMS 2.321104e-08 93 Residual RMS 2.320956e-08 94 Residual RMS 2.320808e-08 95 Residual RMS 2.320661e-08 96 Residual RMS 2.320514e-08 97 Residual RMS 2.320368e-08 98 Residual RMS 2.320223e-08 99 Residual RMS 2.320078e-08 100 Residual RMS 2.319933e-08 Total number of iterations 101 Computed U l2 norm : 0.640273 Computed U_EXACT l2 norm : 266.133333 Error l2 norm: 265.516926 Elapsed wall clock time = 0.113027 HELMHOLTZ Normal end of execution. HELMHOLTZ C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel. Number of processors available = 8 Number of threads = 8 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 = 1.100000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 Right hand side l2 norm = 1458.457517 1 Residual RMS 2.342892e-08 2 Residual RMS 2.341733e-08 3 Residual RMS 2.340960e-08 4 Residual RMS 2.340331e-08 5 Residual RMS 2.339784e-08 6 Residual RMS 2.339291e-08 7 Residual RMS 2.338839e-08 8 Residual RMS 2.338417e-08 9 Residual RMS 2.338021e-08 10 Residual RMS 2.337644e-08 11 Residual RMS 2.337285e-08 12 Residual RMS 2.336941e-08 13 Residual RMS 2.336609e-08 14 Residual RMS 2.336289e-08 15 Residual RMS 2.335979e-08 16 Residual RMS 2.335678e-08 17 Residual RMS 2.335385e-08 18 Residual RMS 2.335099e-08 19 Residual RMS 2.334821e-08 20 Residual RMS 2.334548e-08 21 Residual RMS 2.334282e-08 22 Residual RMS 2.334020e-08 23 Residual RMS 2.333764e-08 24 Residual RMS 2.333512e-08 25 Residual RMS 2.333265e-08 26 Residual RMS 2.333022e-08 27 Residual RMS 2.332782e-08 28 Residual RMS 2.332547e-08 29 Residual RMS 2.332315e-08 30 Residual RMS 2.332086e-08 31 Residual RMS 2.331860e-08 32 Residual RMS 2.331637e-08 33 Residual RMS 2.331416e-08 34 Residual RMS 2.331199e-08 35 Residual RMS 2.330984e-08 36 Residual RMS 2.330772e-08 37 Residual RMS 2.330561e-08 38 Residual RMS 2.330354e-08 39 Residual RMS 2.330148e-08 40 Residual RMS 2.329944e-08 41 Residual RMS 2.329743e-08 42 Residual RMS 2.329543e-08 43 Residual RMS 2.329345e-08 44 Residual RMS 2.329149e-08 45 Residual RMS 2.328954e-08 46 Residual RMS 2.328762e-08 47 Residual RMS 2.328571e-08 48 Residual RMS 2.328381e-08 49 Residual RMS 2.328193e-08 50 Residual RMS 2.328007e-08 51 Residual RMS 2.327821e-08 52 Residual RMS 2.327638e-08 53 Residual RMS 2.327455e-08 54 Residual RMS 2.327274e-08 55 Residual RMS 2.327094e-08 56 Residual RMS 2.326916e-08 57 Residual RMS 2.326738e-08 58 Residual RMS 2.326562e-08 59 Residual RMS 2.326387e-08 60 Residual RMS 2.326213e-08 61 Residual RMS 2.326040e-08 62 Residual RMS 2.325868e-08 63 Residual RMS 2.325698e-08 64 Residual RMS 2.325528e-08 65 Residual RMS 2.325359e-08 66 Residual RMS 2.325191e-08 67 Residual RMS 2.325024e-08 68 Residual RMS 2.324858e-08 69 Residual RMS 2.324693e-08 70 Residual RMS 2.324529e-08 71 Residual RMS 2.324365e-08 72 Residual RMS 2.324203e-08 73 Residual RMS 2.324041e-08 74 Residual RMS 2.323880e-08 75 Residual RMS 2.323720e-08 76 Residual RMS 2.323560e-08 77 Residual RMS 2.323402e-08 78 Residual RMS 2.323244e-08 79 Residual RMS 2.323087e-08 80 Residual RMS 2.322930e-08 81 Residual RMS 2.322774e-08 82 Residual RMS 2.322619e-08 83 Residual RMS 2.322465e-08 84 Residual RMS 2.322311e-08 85 Residual RMS 2.322158e-08 86 Residual RMS 2.322006e-08 87 Residual RMS 2.321854e-08 88 Residual RMS 2.321703e-08 89 Residual RMS 2.321552e-08 90 Residual RMS 2.321402e-08 91 Residual RMS 2.321253e-08 92 Residual RMS 2.321104e-08 93 Residual RMS 2.320956e-08 94 Residual RMS 2.320808e-08 95 Residual RMS 2.320661e-08 96 Residual RMS 2.320514e-08 97 Residual RMS 2.320368e-08 98 Residual RMS 2.320223e-08 99 Residual RMS 2.320078e-08 100 Residual RMS 2.319933e-08 Total number of iterations 101 Computed U l2 norm : 0.640273 Computed U_EXACT l2 norm : 266.133333 Error l2 norm: 265.516926 Elapsed wall clock time = 0.105002 HELMHOLTZ Normal end of execution.