2 November 2024 4:47:15.398 PM helmholtz_openmp(): Fortran77/OpenMP version A program for the 2D Helmholtz equation. Parallel execution under OpenMP. The number of processors = 8 The number of threads = 1 The region is [-1,1] x [-1,1]. The number of X nodes is M = 64 The number of Y nodes is N = 64 The scalar coefficient is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.100000E-07 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.99316 RMS residual 0.754040E-03 RMS residual 0.751014E-03 RMS residual 0.748679E-03 RMS residual 0.746639E-03 RMS residual 0.744773E-03 RMS residual 0.743024E-03 RMS residual 0.741363E-03 RMS residual 0.739769E-03 RMS residual 0.738230E-03 RMS residual 0.736737E-03 RMS residual 0.735282E-03 RMS residual 0.733862E-03 RMS residual 0.732470E-03 RMS residual 0.731106E-03 RMS residual 0.729764E-03 RMS residual 0.728444E-03 RMS residual 0.727144E-03 RMS residual 0.725861E-03 RMS residual 0.724595E-03 RMS residual 0.723344E-03 RMS residual 0.722107E-03 RMS residual 0.720883E-03 RMS residual 0.719672E-03 RMS residual 0.718472E-03 RMS residual 0.717284E-03 RMS residual 0.716106E-03 RMS residual 0.714938E-03 RMS residual 0.713779E-03 RMS residual 0.712630E-03 RMS residual 0.711488E-03 RMS residual 0.710356E-03 RMS residual 0.709231E-03 RMS residual 0.708113E-03 RMS residual 0.707003E-03 RMS residual 0.705900E-03 RMS residual 0.704803E-03 RMS residual 0.703714E-03 RMS residual 0.702630E-03 RMS residual 0.701552E-03 RMS residual 0.700481E-03 RMS residual 0.699415E-03 RMS residual 0.698354E-03 RMS residual 0.697299E-03 RMS residual 0.696250E-03 RMS residual 0.695205E-03 RMS residual 0.694165E-03 RMS residual 0.693130E-03 RMS residual 0.692100E-03 RMS residual 0.691074E-03 RMS residual 0.690053E-03 RMS residual 0.689037E-03 RMS residual 0.688024E-03 RMS residual 0.687016E-03 RMS residual 0.686012E-03 RMS residual 0.685011E-03 RMS residual 0.684015E-03 RMS residual 0.683023E-03 RMS residual 0.682034E-03 RMS residual 0.681049E-03 RMS residual 0.680067E-03 RMS residual 0.679090E-03 RMS residual 0.678115E-03 RMS residual 0.677144E-03 RMS residual 0.676177E-03 RMS residual 0.675213E-03 RMS residual 0.674252E-03 RMS residual 0.673294E-03 RMS residual 0.672339E-03 RMS residual 0.671388E-03 RMS residual 0.670439E-03 RMS residual 0.669494E-03 RMS residual 0.668551E-03 RMS residual 0.667612E-03 RMS residual 0.666675E-03 RMS residual 0.665741E-03 RMS residual 0.664810E-03 RMS residual 0.663882E-03 RMS residual 0.662956E-03 RMS residual 0.662033E-03 RMS residual 0.661113E-03 RMS residual 0.660195E-03 RMS residual 0.659280E-03 RMS residual 0.658368E-03 RMS residual 0.657458E-03 RMS residual 0.656550E-03 RMS residual 0.655645E-03 RMS residual 0.654742E-03 RMS residual 0.653842E-03 RMS residual 0.652944E-03 RMS residual 0.652049E-03 RMS residual 0.651156E-03 RMS residual 0.650265E-03 RMS residual 0.649376E-03 RMS residual 0.648490E-03 RMS residual 0.647606E-03 RMS residual 0.646724E-03 RMS residual 0.645844E-03 RMS residual 0.644967E-03 RMS residual 0.644091E-03 RMS residual 0.643218E-03 Number of iterations 101 RMS U : 0.525000 RMS UEXACT : 0.525000 RMS U-UEXACT: 0.830743E-01 Elapsed wall clock time = 0.964482E-02 helmholtz_openmp(): Normal end of execution. 2 November 2024 4:47:15.408 PM 2 November 2024 4:47:15.409 PM helmholtz_openmp(): Fortran77/OpenMP version A program for the 2D Helmholtz equation. Parallel execution under OpenMP. The number of processors = 8 The number of threads = 2 The region is [-1,1] x [-1,1]. The number of X nodes is M = 64 The number of Y nodes is N = 64 The scalar coefficient is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.100000E-07 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.99316 RMS residual 0.754040E-03 RMS residual 0.751014E-03 RMS residual 0.748679E-03 RMS residual 0.746639E-03 RMS residual 0.744773E-03 RMS residual 0.743024E-03 RMS residual 0.741363E-03 RMS residual 0.739769E-03 RMS residual 0.738230E-03 RMS residual 0.736737E-03 RMS residual 0.735282E-03 RMS residual 0.733862E-03 RMS residual 0.732470E-03 RMS residual 0.731106E-03 RMS residual 0.729764E-03 RMS residual 0.728444E-03 RMS residual 0.727144E-03 RMS residual 0.725861E-03 RMS residual 0.724595E-03 RMS residual 0.723344E-03 RMS residual 0.722107E-03 RMS residual 0.720883E-03 RMS residual 0.719672E-03 RMS residual 0.718472E-03 RMS residual 0.717284E-03 RMS residual 0.716106E-03 RMS residual 0.714938E-03 RMS residual 0.713779E-03 RMS residual 0.712630E-03 RMS residual 0.711488E-03 RMS residual 0.710356E-03 RMS residual 0.709231E-03 RMS residual 0.708113E-03 RMS residual 0.707003E-03 RMS residual 0.705900E-03 RMS residual 0.704803E-03 RMS residual 0.703714E-03 RMS residual 0.702630E-03 RMS residual 0.701552E-03 RMS residual 0.700481E-03 RMS residual 0.699415E-03 RMS residual 0.698354E-03 RMS residual 0.697299E-03 RMS residual 0.696250E-03 RMS residual 0.695205E-03 RMS residual 0.694165E-03 RMS residual 0.693130E-03 RMS residual 0.692100E-03 RMS residual 0.691074E-03 RMS residual 0.690053E-03 RMS residual 0.689037E-03 RMS residual 0.688024E-03 RMS residual 0.687016E-03 RMS residual 0.686012E-03 RMS residual 0.685011E-03 RMS residual 0.684015E-03 RMS residual 0.683023E-03 RMS residual 0.682034E-03 RMS residual 0.681049E-03 RMS residual 0.680067E-03 RMS residual 0.679090E-03 RMS residual 0.678115E-03 RMS residual 0.677144E-03 RMS residual 0.676177E-03 RMS residual 0.675213E-03 RMS residual 0.674252E-03 RMS residual 0.673294E-03 RMS residual 0.672339E-03 RMS residual 0.671388E-03 RMS residual 0.670439E-03 RMS residual 0.669494E-03 RMS residual 0.668551E-03 RMS residual 0.667612E-03 RMS residual 0.666675E-03 RMS residual 0.665741E-03 RMS residual 0.664810E-03 RMS residual 0.663882E-03 RMS residual 0.662956E-03 RMS residual 0.662033E-03 RMS residual 0.661113E-03 RMS residual 0.660195E-03 RMS residual 0.659280E-03 RMS residual 0.658368E-03 RMS residual 0.657458E-03 RMS residual 0.656550E-03 RMS residual 0.655645E-03 RMS residual 0.654742E-03 RMS residual 0.653842E-03 RMS residual 0.652944E-03 RMS residual 0.652049E-03 RMS residual 0.651156E-03 RMS residual 0.650265E-03 RMS residual 0.649376E-03 RMS residual 0.648490E-03 RMS residual 0.647606E-03 RMS residual 0.646724E-03 RMS residual 0.645844E-03 RMS residual 0.644967E-03 RMS residual 0.644091E-03 RMS residual 0.643218E-03 Number of iterations 101 RMS U : 0.525000 RMS UEXACT : 0.525000 RMS U-UEXACT: 0.830743E-01 Elapsed wall clock time = 0.382615E-02 helmholtz_openmp(): Normal end of execution. 2 November 2024 4:47:15.413 PM 2 November 2024 4:47:15.414 PM helmholtz_openmp(): Fortran77/OpenMP version A program for the 2D Helmholtz equation. Parallel execution under OpenMP. The number of processors = 8 The number of threads = 4 The region is [-1,1] x [-1,1]. The number of X nodes is M = 64 The number of Y nodes is N = 64 The scalar coefficient is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.100000E-07 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.99316 RMS residual 0.754040E-03 RMS residual 0.751014E-03 RMS residual 0.748679E-03 RMS residual 0.746639E-03 RMS residual 0.744773E-03 RMS residual 0.743024E-03 RMS residual 0.741363E-03 RMS residual 0.739769E-03 RMS residual 0.738230E-03 RMS residual 0.736737E-03 RMS residual 0.735282E-03 RMS residual 0.733862E-03 RMS residual 0.732470E-03 RMS residual 0.731106E-03 RMS residual 0.729764E-03 RMS residual 0.728444E-03 RMS residual 0.727144E-03 RMS residual 0.725861E-03 RMS residual 0.724595E-03 RMS residual 0.723344E-03 RMS residual 0.722107E-03 RMS residual 0.720883E-03 RMS residual 0.719672E-03 RMS residual 0.718472E-03 RMS residual 0.717284E-03 RMS residual 0.716106E-03 RMS residual 0.714938E-03 RMS residual 0.713779E-03 RMS residual 0.712630E-03 RMS residual 0.711488E-03 RMS residual 0.710356E-03 RMS residual 0.709231E-03 RMS residual 0.708113E-03 RMS residual 0.707003E-03 RMS residual 0.705900E-03 RMS residual 0.704803E-03 RMS residual 0.703714E-03 RMS residual 0.702630E-03 RMS residual 0.701552E-03 RMS residual 0.700481E-03 RMS residual 0.699415E-03 RMS residual 0.698354E-03 RMS residual 0.697299E-03 RMS residual 0.696250E-03 RMS residual 0.695205E-03 RMS residual 0.694165E-03 RMS residual 0.693130E-03 RMS residual 0.692100E-03 RMS residual 0.691074E-03 RMS residual 0.690053E-03 RMS residual 0.689037E-03 RMS residual 0.688024E-03 RMS residual 0.687016E-03 RMS residual 0.686012E-03 RMS residual 0.685011E-03 RMS residual 0.684015E-03 RMS residual 0.683023E-03 RMS residual 0.682034E-03 RMS residual 0.681049E-03 RMS residual 0.680067E-03 RMS residual 0.679090E-03 RMS residual 0.678115E-03 RMS residual 0.677144E-03 RMS residual 0.676177E-03 RMS residual 0.675213E-03 RMS residual 0.674252E-03 RMS residual 0.673294E-03 RMS residual 0.672339E-03 RMS residual 0.671388E-03 RMS residual 0.670439E-03 RMS residual 0.669494E-03 RMS residual 0.668551E-03 RMS residual 0.667612E-03 RMS residual 0.666675E-03 RMS residual 0.665741E-03 RMS residual 0.664810E-03 RMS residual 0.663882E-03 RMS residual 0.662956E-03 RMS residual 0.662033E-03 RMS residual 0.661113E-03 RMS residual 0.660195E-03 RMS residual 0.659280E-03 RMS residual 0.658368E-03 RMS residual 0.657458E-03 RMS residual 0.656550E-03 RMS residual 0.655645E-03 RMS residual 0.654742E-03 RMS residual 0.653842E-03 RMS residual 0.652944E-03 RMS residual 0.652049E-03 RMS residual 0.651156E-03 RMS residual 0.650265E-03 RMS residual 0.649376E-03 RMS residual 0.648490E-03 RMS residual 0.647606E-03 RMS residual 0.646724E-03 RMS residual 0.645844E-03 RMS residual 0.644967E-03 RMS residual 0.644091E-03 RMS residual 0.643218E-03 Number of iterations 101 RMS U : 0.525000 RMS UEXACT : 0.525000 RMS U-UEXACT: 0.830743E-01 Elapsed wall clock time = 0.219668E-02 helmholtz_openmp(): Normal end of execution. 2 November 2024 4:47:15.416 PM 2 November 2024 4:47:15.417 PM helmholtz_openmp(): Fortran77/OpenMP version A program for the 2D Helmholtz equation. Parallel execution under OpenMP. The number of processors = 8 The number of threads = 8 The region is [-1,1] x [-1,1]. The number of X nodes is M = 64 The number of Y nodes is N = 64 The scalar coefficient is ALPHA = 0.500000 The relaxation value is OMEGA = 0.900000 The error tolerance is TOL = 0.100000E-07 The maximum number of Jacobi iterations is IT_MAX = 100 RMS F = 2.99316 RMS residual 0.754040E-03 RMS residual 0.751014E-03 RMS residual 0.748679E-03 RMS residual 0.746639E-03 RMS residual 0.744773E-03 RMS residual 0.743024E-03 RMS residual 0.741363E-03 RMS residual 0.739769E-03 RMS residual 0.738230E-03 RMS residual 0.736737E-03 RMS residual 0.735282E-03 RMS residual 0.733862E-03 RMS residual 0.732470E-03 RMS residual 0.731106E-03 RMS residual 0.729764E-03 RMS residual 0.728444E-03 RMS residual 0.727144E-03 RMS residual 0.725861E-03 RMS residual 0.724595E-03 RMS residual 0.723344E-03 RMS residual 0.722107E-03 RMS residual 0.720883E-03 RMS residual 0.719672E-03 RMS residual 0.718472E-03 RMS residual 0.717284E-03 RMS residual 0.716106E-03 RMS residual 0.714938E-03 RMS residual 0.713779E-03 RMS residual 0.712630E-03 RMS residual 0.711488E-03 RMS residual 0.710356E-03 RMS residual 0.709231E-03 RMS residual 0.708113E-03 RMS residual 0.707003E-03 RMS residual 0.705900E-03 RMS residual 0.704803E-03 RMS residual 0.703714E-03 RMS residual 0.702630E-03 RMS residual 0.701552E-03 RMS residual 0.700481E-03 RMS residual 0.699415E-03 RMS residual 0.698354E-03 RMS residual 0.697299E-03 RMS residual 0.696250E-03 RMS residual 0.695205E-03 RMS residual 0.694165E-03 RMS residual 0.693130E-03 RMS residual 0.692100E-03 RMS residual 0.691074E-03 RMS residual 0.690053E-03 RMS residual 0.689037E-03 RMS residual 0.688024E-03 RMS residual 0.687016E-03 RMS residual 0.686012E-03 RMS residual 0.685011E-03 RMS residual 0.684015E-03 RMS residual 0.683023E-03 RMS residual 0.682034E-03 RMS residual 0.681049E-03 RMS residual 0.680067E-03 RMS residual 0.679090E-03 RMS residual 0.678115E-03 RMS residual 0.677144E-03 RMS residual 0.676177E-03 RMS residual 0.675213E-03 RMS residual 0.674252E-03 RMS residual 0.673294E-03 RMS residual 0.672339E-03 RMS residual 0.671388E-03 RMS residual 0.670439E-03 RMS residual 0.669494E-03 RMS residual 0.668551E-03 RMS residual 0.667612E-03 RMS residual 0.666675E-03 RMS residual 0.665741E-03 RMS residual 0.664810E-03 RMS residual 0.663882E-03 RMS residual 0.662956E-03 RMS residual 0.662033E-03 RMS residual 0.661113E-03 RMS residual 0.660195E-03 RMS residual 0.659280E-03 RMS residual 0.658368E-03 RMS residual 0.657458E-03 RMS residual 0.656550E-03 RMS residual 0.655645E-03 RMS residual 0.654742E-03 RMS residual 0.653842E-03 RMS residual 0.652944E-03 RMS residual 0.652049E-03 RMS residual 0.651156E-03 RMS residual 0.650265E-03 RMS residual 0.649376E-03 RMS residual 0.648490E-03 RMS residual 0.647606E-03 RMS residual 0.646724E-03 RMS residual 0.645844E-03 RMS residual 0.644967E-03 RMS residual 0.644091E-03 RMS residual 0.643218E-03 Number of iterations 101 RMS U : 0.525000 RMS UEXACT : 0.525000 RMS U-UEXACT: 0.830743E-01 Elapsed wall clock time = 0.213575E-02 helmholtz_openmp(): Normal end of execution. 2 November 2024 4:47:15.419 PM