02 November 2024 06:44:29 PM helmholtz_openmp(): C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel under OpenMP. Number of processors = 8 Number of threads = 1 The region is [-1,1] x [-1,1]. The number of nodes in the X direction is M = 64 The number of nodes in the Y direction is N = 64 Number of variables in linear system M * N = 4096 The scalar coefficient in the Helmholtz equation is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.993161 1 RMS Residual 7.540397e-04 2 RMS Residual 7.510141e-04 3 RMS Residual 7.486791e-04 4 RMS Residual 7.466393e-04 5 RMS Residual 7.447729e-04 6 RMS Residual 7.430242e-04 7 RMS Residual 7.413626e-04 8 RMS Residual 7.397687e-04 9 RMS Residual 7.382298e-04 10 RMS Residual 7.367366e-04 11 RMS Residual 7.352822e-04 12 RMS Residual 7.338615e-04 13 RMS Residual 7.324704e-04 14 RMS Residual 7.311056e-04 15 RMS Residual 7.297643e-04 16 RMS Residual 7.284443e-04 17 RMS Residual 7.271438e-04 18 RMS Residual 7.258611e-04 19 RMS Residual 7.245948e-04 20 RMS Residual 7.233437e-04 21 RMS Residual 7.221068e-04 22 RMS Residual 7.208832e-04 23 RMS Residual 7.196720e-04 24 RMS Residual 7.184725e-04 25 RMS Residual 7.172840e-04 26 RMS Residual 7.161060e-04 27 RMS Residual 7.149379e-04 28 RMS Residual 7.137792e-04 29 RMS Residual 7.126296e-04 30 RMS Residual 7.114885e-04 31 RMS Residual 7.103556e-04 32 RMS Residual 7.092306e-04 33 RMS Residual 7.081132e-04 34 RMS Residual 7.070031e-04 35 RMS Residual 7.058999e-04 36 RMS Residual 7.048035e-04 37 RMS Residual 7.037136e-04 38 RMS Residual 7.026299e-04 39 RMS Residual 7.015524e-04 40 RMS Residual 7.004808e-04 41 RMS Residual 6.994148e-04 42 RMS Residual 6.983544e-04 43 RMS Residual 6.972994e-04 44 RMS Residual 6.962497e-04 45 RMS Residual 6.952050e-04 46 RMS Residual 6.941652e-04 47 RMS Residual 6.931303e-04 48 RMS Residual 6.921001e-04 49 RMS Residual 6.910745e-04 50 RMS Residual 6.900533e-04 51 RMS Residual 6.890366e-04 52 RMS Residual 6.880241e-04 53 RMS Residual 6.870158e-04 54 RMS Residual 6.860115e-04 55 RMS Residual 6.850113e-04 56 RMS Residual 6.840150e-04 57 RMS Residual 6.830225e-04 58 RMS Residual 6.820338e-04 59 RMS Residual 6.810488e-04 60 RMS Residual 6.800674e-04 61 RMS Residual 6.790896e-04 62 RMS Residual 6.781153e-04 63 RMS Residual 6.771444e-04 64 RMS Residual 6.761768e-04 65 RMS Residual 6.752126e-04 66 RMS Residual 6.742516e-04 67 RMS Residual 6.732938e-04 68 RMS Residual 6.723392e-04 69 RMS Residual 6.713877e-04 70 RMS Residual 6.704392e-04 71 RMS Residual 6.694937e-04 72 RMS Residual 6.685512e-04 73 RMS Residual 6.676117e-04 74 RMS Residual 6.666749e-04 75 RMS Residual 6.657411e-04 76 RMS Residual 6.648100e-04 77 RMS Residual 6.638817e-04 78 RMS Residual 6.629561e-04 79 RMS Residual 6.620332e-04 80 RMS Residual 6.611129e-04 81 RMS Residual 6.601952e-04 82 RMS Residual 6.592802e-04 83 RMS Residual 6.583676e-04 84 RMS Residual 6.574576e-04 85 RMS Residual 6.565501e-04 86 RMS Residual 6.556451e-04 87 RMS Residual 6.547425e-04 88 RMS Residual 6.538423e-04 89 RMS Residual 6.529444e-04 90 RMS Residual 6.520489e-04 91 RMS Residual 6.511558e-04 92 RMS Residual 6.502649e-04 93 RMS Residual 6.493763e-04 94 RMS Residual 6.484900e-04 95 RMS Residual 6.476059e-04 96 RMS Residual 6.467240e-04 97 RMS Residual 6.458442e-04 98 RMS Residual 6.449667e-04 99 RMS Residual 6.440912e-04 100 RMS Residual 6.432179e-04 Number of iterations 101 RMS U : 0.525000 RMS UEXACT: 0.525000 RMS U-UEXACT: 0.083074 Elapsed wall clock time = 0.009932 helmholtz_openmp(): Normal end of execution. 02 November 2024 06:44:29 PM 02 November 2024 06:44:29 PM helmholtz_openmp(): C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel under OpenMP. Number of processors = 8 Number of threads = 2 The region is [-1,1] x [-1,1]. The number of nodes in the X direction is M = 64 The number of nodes in the Y direction is N = 64 Number of variables in linear system M * N = 4096 The scalar coefficient in the Helmholtz equation is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.993161 1 RMS Residual 7.540397e-04 2 RMS Residual 7.510141e-04 3 RMS Residual 7.486791e-04 4 RMS Residual 7.466393e-04 5 RMS Residual 7.447729e-04 6 RMS Residual 7.430242e-04 7 RMS Residual 7.413626e-04 8 RMS Residual 7.397687e-04 9 RMS Residual 7.382298e-04 10 RMS Residual 7.367366e-04 11 RMS Residual 7.352822e-04 12 RMS Residual 7.338615e-04 13 RMS Residual 7.324704e-04 14 RMS Residual 7.311056e-04 15 RMS Residual 7.297643e-04 16 RMS Residual 7.284443e-04 17 RMS Residual 7.271438e-04 18 RMS Residual 7.258611e-04 19 RMS Residual 7.245948e-04 20 RMS Residual 7.233437e-04 21 RMS Residual 7.221068e-04 22 RMS Residual 7.208832e-04 23 RMS Residual 7.196720e-04 24 RMS Residual 7.184725e-04 25 RMS Residual 7.172840e-04 26 RMS Residual 7.161060e-04 27 RMS Residual 7.149379e-04 28 RMS Residual 7.137792e-04 29 RMS Residual 7.126296e-04 30 RMS Residual 7.114885e-04 31 RMS Residual 7.103556e-04 32 RMS Residual 7.092306e-04 33 RMS Residual 7.081132e-04 34 RMS Residual 7.070031e-04 35 RMS Residual 7.058999e-04 36 RMS Residual 7.048035e-04 37 RMS Residual 7.037136e-04 38 RMS Residual 7.026299e-04 39 RMS Residual 7.015524e-04 40 RMS Residual 7.004808e-04 41 RMS Residual 6.994148e-04 42 RMS Residual 6.983544e-04 43 RMS Residual 6.972994e-04 44 RMS Residual 6.962497e-04 45 RMS Residual 6.952050e-04 46 RMS Residual 6.941652e-04 47 RMS Residual 6.931303e-04 48 RMS Residual 6.921001e-04 49 RMS Residual 6.910745e-04 50 RMS Residual 6.900533e-04 51 RMS Residual 6.890366e-04 52 RMS Residual 6.880241e-04 53 RMS Residual 6.870158e-04 54 RMS Residual 6.860115e-04 55 RMS Residual 6.850113e-04 56 RMS Residual 6.840150e-04 57 RMS Residual 6.830225e-04 58 RMS Residual 6.820338e-04 59 RMS Residual 6.810488e-04 60 RMS Residual 6.800674e-04 61 RMS Residual 6.790896e-04 62 RMS Residual 6.781153e-04 63 RMS Residual 6.771444e-04 64 RMS Residual 6.761768e-04 65 RMS Residual 6.752126e-04 66 RMS Residual 6.742516e-04 67 RMS Residual 6.732938e-04 68 RMS Residual 6.723392e-04 69 RMS Residual 6.713877e-04 70 RMS Residual 6.704392e-04 71 RMS Residual 6.694937e-04 72 RMS Residual 6.685512e-04 73 RMS Residual 6.676117e-04 74 RMS Residual 6.666749e-04 75 RMS Residual 6.657411e-04 76 RMS Residual 6.648100e-04 77 RMS Residual 6.638817e-04 78 RMS Residual 6.629561e-04 79 RMS Residual 6.620332e-04 80 RMS Residual 6.611129e-04 81 RMS Residual 6.601952e-04 82 RMS Residual 6.592802e-04 83 RMS Residual 6.583676e-04 84 RMS Residual 6.574576e-04 85 RMS Residual 6.565501e-04 86 RMS Residual 6.556451e-04 87 RMS Residual 6.547425e-04 88 RMS Residual 6.538423e-04 89 RMS Residual 6.529444e-04 90 RMS Residual 6.520489e-04 91 RMS Residual 6.511558e-04 92 RMS Residual 6.502649e-04 93 RMS Residual 6.493763e-04 94 RMS Residual 6.484900e-04 95 RMS Residual 6.476059e-04 96 RMS Residual 6.467240e-04 97 RMS Residual 6.458442e-04 98 RMS Residual 6.449667e-04 99 RMS Residual 6.440912e-04 100 RMS Residual 6.432179e-04 Number of iterations 101 RMS U : 0.525000 RMS UEXACT: 0.525000 RMS U-UEXACT: 0.083074 Elapsed wall clock time = 0.003226 helmholtz_openmp(): Normal end of execution. 02 November 2024 06:44:29 PM 02 November 2024 06:44:29 PM helmholtz_openmp(): C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel under OpenMP. Number of processors = 8 Number of threads = 4 The region is [-1,1] x [-1,1]. The number of nodes in the X direction is M = 64 The number of nodes in the Y direction is N = 64 Number of variables in linear system M * N = 4096 The scalar coefficient in the Helmholtz equation is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.993161 1 RMS Residual 7.540397e-04 2 RMS Residual 7.510141e-04 3 RMS Residual 7.486791e-04 4 RMS Residual 7.466393e-04 5 RMS Residual 7.447729e-04 6 RMS Residual 7.430242e-04 7 RMS Residual 7.413626e-04 8 RMS Residual 7.397687e-04 9 RMS Residual 7.382298e-04 10 RMS Residual 7.367366e-04 11 RMS Residual 7.352822e-04 12 RMS Residual 7.338615e-04 13 RMS Residual 7.324704e-04 14 RMS Residual 7.311056e-04 15 RMS Residual 7.297643e-04 16 RMS Residual 7.284443e-04 17 RMS Residual 7.271438e-04 18 RMS Residual 7.258611e-04 19 RMS Residual 7.245948e-04 20 RMS Residual 7.233437e-04 21 RMS Residual 7.221068e-04 22 RMS Residual 7.208832e-04 23 RMS Residual 7.196720e-04 24 RMS Residual 7.184725e-04 25 RMS Residual 7.172840e-04 26 RMS Residual 7.161060e-04 27 RMS Residual 7.149379e-04 28 RMS Residual 7.137792e-04 29 RMS Residual 7.126296e-04 30 RMS Residual 7.114885e-04 31 RMS Residual 7.103556e-04 32 RMS Residual 7.092306e-04 33 RMS Residual 7.081132e-04 34 RMS Residual 7.070031e-04 35 RMS Residual 7.058999e-04 36 RMS Residual 7.048035e-04 37 RMS Residual 7.037136e-04 38 RMS Residual 7.026299e-04 39 RMS Residual 7.015524e-04 40 RMS Residual 7.004808e-04 41 RMS Residual 6.994148e-04 42 RMS Residual 6.983544e-04 43 RMS Residual 6.972994e-04 44 RMS Residual 6.962497e-04 45 RMS Residual 6.952050e-04 46 RMS Residual 6.941652e-04 47 RMS Residual 6.931303e-04 48 RMS Residual 6.921001e-04 49 RMS Residual 6.910745e-04 50 RMS Residual 6.900533e-04 51 RMS Residual 6.890366e-04 52 RMS Residual 6.880241e-04 53 RMS Residual 6.870158e-04 54 RMS Residual 6.860115e-04 55 RMS Residual 6.850113e-04 56 RMS Residual 6.840150e-04 57 RMS Residual 6.830225e-04 58 RMS Residual 6.820338e-04 59 RMS Residual 6.810488e-04 60 RMS Residual 6.800674e-04 61 RMS Residual 6.790896e-04 62 RMS Residual 6.781153e-04 63 RMS Residual 6.771444e-04 64 RMS Residual 6.761768e-04 65 RMS Residual 6.752126e-04 66 RMS Residual 6.742516e-04 67 RMS Residual 6.732938e-04 68 RMS Residual 6.723392e-04 69 RMS Residual 6.713877e-04 70 RMS Residual 6.704392e-04 71 RMS Residual 6.694937e-04 72 RMS Residual 6.685512e-04 73 RMS Residual 6.676117e-04 74 RMS Residual 6.666749e-04 75 RMS Residual 6.657411e-04 76 RMS Residual 6.648100e-04 77 RMS Residual 6.638817e-04 78 RMS Residual 6.629561e-04 79 RMS Residual 6.620332e-04 80 RMS Residual 6.611129e-04 81 RMS Residual 6.601952e-04 82 RMS Residual 6.592802e-04 83 RMS Residual 6.583676e-04 84 RMS Residual 6.574576e-04 85 RMS Residual 6.565501e-04 86 RMS Residual 6.556451e-04 87 RMS Residual 6.547425e-04 88 RMS Residual 6.538423e-04 89 RMS Residual 6.529444e-04 90 RMS Residual 6.520489e-04 91 RMS Residual 6.511558e-04 92 RMS Residual 6.502649e-04 93 RMS Residual 6.493763e-04 94 RMS Residual 6.484900e-04 95 RMS Residual 6.476059e-04 96 RMS Residual 6.467240e-04 97 RMS Residual 6.458442e-04 98 RMS Residual 6.449667e-04 99 RMS Residual 6.440912e-04 100 RMS Residual 6.432179e-04 Number of iterations 101 RMS U : 0.525000 RMS UEXACT: 0.525000 RMS U-UEXACT: 0.083074 Elapsed wall clock time = 0.002532 helmholtz_openmp(): Normal end of execution. 02 November 2024 06:44:29 PM 02 November 2024 06:44:29 PM helmholtz_openmp(): C/OpenMP version A program which solves the 2D Helmholtz equation. This program is being run in parallel under OpenMP. Number of processors = 8 Number of threads = 8 The region is [-1,1] x [-1,1]. The number of nodes in the X direction is M = 64 The number of nodes in the Y direction is N = 64 Number of variables in linear system M * N = 4096 The scalar coefficient in the Helmholtz equation is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.000000 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.993161 1 RMS Residual 7.540397e-04 2 RMS Residual 7.510141e-04 3 RMS Residual 7.486791e-04 4 RMS Residual 7.466393e-04 5 RMS Residual 7.447729e-04 6 RMS Residual 7.430242e-04 7 RMS Residual 7.413626e-04 8 RMS Residual 7.397687e-04 9 RMS Residual 7.382298e-04 10 RMS Residual 7.367366e-04 11 RMS Residual 7.352822e-04 12 RMS Residual 7.338615e-04 13 RMS Residual 7.324704e-04 14 RMS Residual 7.311056e-04 15 RMS Residual 7.297643e-04 16 RMS Residual 7.284443e-04 17 RMS Residual 7.271438e-04 18 RMS Residual 7.258611e-04 19 RMS Residual 7.245948e-04 20 RMS Residual 7.233437e-04 21 RMS Residual 7.221068e-04 22 RMS Residual 7.208832e-04 23 RMS Residual 7.196720e-04 24 RMS Residual 7.184725e-04 25 RMS Residual 7.172840e-04 26 RMS Residual 7.161060e-04 27 RMS Residual 7.149379e-04 28 RMS Residual 7.137792e-04 29 RMS Residual 7.126296e-04 30 RMS Residual 7.114885e-04 31 RMS Residual 7.103556e-04 32 RMS Residual 7.092306e-04 33 RMS Residual 7.081132e-04 34 RMS Residual 7.070031e-04 35 RMS Residual 7.058999e-04 36 RMS Residual 7.048035e-04 37 RMS Residual 7.037136e-04 38 RMS Residual 7.026299e-04 39 RMS Residual 7.015524e-04 40 RMS Residual 7.004808e-04 41 RMS Residual 6.994148e-04 42 RMS Residual 6.983544e-04 43 RMS Residual 6.972994e-04 44 RMS Residual 6.962497e-04 45 RMS Residual 6.952050e-04 46 RMS Residual 6.941652e-04 47 RMS Residual 6.931303e-04 48 RMS Residual 6.921001e-04 49 RMS Residual 6.910745e-04 50 RMS Residual 6.900533e-04 51 RMS Residual 6.890366e-04 52 RMS Residual 6.880241e-04 53 RMS Residual 6.870158e-04 54 RMS Residual 6.860115e-04 55 RMS Residual 6.850113e-04 56 RMS Residual 6.840150e-04 57 RMS Residual 6.830225e-04 58 RMS Residual 6.820338e-04 59 RMS Residual 6.810488e-04 60 RMS Residual 6.800674e-04 61 RMS Residual 6.790896e-04 62 RMS Residual 6.781153e-04 63 RMS Residual 6.771444e-04 64 RMS Residual 6.761768e-04 65 RMS Residual 6.752126e-04 66 RMS Residual 6.742516e-04 67 RMS Residual 6.732938e-04 68 RMS Residual 6.723392e-04 69 RMS Residual 6.713877e-04 70 RMS Residual 6.704392e-04 71 RMS Residual 6.694937e-04 72 RMS Residual 6.685512e-04 73 RMS Residual 6.676117e-04 74 RMS Residual 6.666749e-04 75 RMS Residual 6.657411e-04 76 RMS Residual 6.648100e-04 77 RMS Residual 6.638817e-04 78 RMS Residual 6.629561e-04 79 RMS Residual 6.620332e-04 80 RMS Residual 6.611129e-04 81 RMS Residual 6.601952e-04 82 RMS Residual 6.592802e-04 83 RMS Residual 6.583676e-04 84 RMS Residual 6.574576e-04 85 RMS Residual 6.565501e-04 86 RMS Residual 6.556451e-04 87 RMS Residual 6.547425e-04 88 RMS Residual 6.538423e-04 89 RMS Residual 6.529444e-04 90 RMS Residual 6.520489e-04 91 RMS Residual 6.511558e-04 92 RMS Residual 6.502649e-04 93 RMS Residual 6.493763e-04 94 RMS Residual 6.484900e-04 95 RMS Residual 6.476059e-04 96 RMS Residual 6.467240e-04 97 RMS Residual 6.458442e-04 98 RMS Residual 6.449667e-04 99 RMS Residual 6.440912e-04 100 RMS Residual 6.432179e-04 Number of iterations 101 RMS U : 0.525000 RMS UEXACT: 0.525000 RMS U-UEXACT: 0.083074 Elapsed wall clock time = 0.049818 helmholtz_openmp(): Normal end of execution. 02 November 2024 06:44:29 PM