Timestep: 0000 time = 0 L_2 Error: 1.0821e-16 0 TS dt 0.1 time 0. 0 SNES Function norm 0.38487 0 KSP unpreconditioned resid norm 3.848701079585e-01 true resid norm 3.848701079585e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 6.306958768405e-02 true resid norm 6.306958768405e-02 ||r(i)||/||b|| 1.638723984531e-01 2 KSP unpreconditioned resid norm 5.760676204313e-03 true resid norm 5.760676204313e-03 ||r(i)||/||b|| 1.496784521633e-02 3 KSP unpreconditioned resid norm 4.612023997603e-04 true resid norm 4.612023997603e-04 ||r(i)||/||b|| 1.198332606829e-03 4 KSP unpreconditioned resid norm 7.800377626583e-05 true resid norm 7.800377626586e-05 ||r(i)||/||b|| 2.026755901611e-04 5 KSP unpreconditioned resid norm 5.796001277060e-06 true resid norm 5.796001277043e-06 ||r(i)||/||b|| 1.505962961839e-05 6 KSP unpreconditioned resid norm 6.294785394574e-07 true resid norm 6.294785394633e-07 ||r(i)||/||b|| 1.635561002132e-06 7 KSP unpreconditioned resid norm 4.711800149142e-09 true resid norm 4.711800136142e-09 ||r(i)||/||b|| 1.224257233469e-08 8 KSP unpreconditioned resid norm 1.845375931471e-11 true resid norm 1.845373359363e-11 ||r(i)||/||b|| 4.794795234038e-11 1 SNES Function norm 1.845e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0001 time = 0.1 L_2 Error: 0.042609 1 TS dt 0.1 time 0.1 0 SNES Function norm 0.383649 0 KSP unpreconditioned resid norm 3.836491353067e-01 true resid norm 3.836491353067e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 6.087119748495e-02 true resid norm 6.087119748495e-02 ||r(i)||/||b|| 1.586637160965e-01 2 KSP unpreconditioned resid norm 5.740698672644e-03 true resid norm 5.740698672644e-03 ||r(i)||/||b|| 1.496340834459e-02 3 KSP unpreconditioned resid norm 4.605229592736e-04 true resid norm 4.605229592736e-04 ||r(i)||/||b|| 1.200375334889e-03 4 KSP unpreconditioned resid norm 7.848908845461e-05 true resid norm 7.848908845462e-05 ||r(i)||/||b|| 2.045855997874e-04 5 KSP unpreconditioned resid norm 5.648624058193e-06 true resid norm 5.648624058220e-06 ||r(i)||/||b|| 1.472341141523e-05 6 KSP unpreconditioned resid norm 6.188836190140e-07 true resid norm 6.188836190145e-07 ||r(i)||/||b|| 1.613150042733e-06 7 KSP unpreconditioned resid norm 4.800059529470e-09 true resid norm 4.800059540549e-09 ||r(i)||/||b|| 1.251158701742e-08 8 KSP unpreconditioned resid norm 1.774392929439e-11 true resid norm 1.774395612425e-11 ||r(i)||/||b|| 4.625047860478e-11 1 SNES Function norm 1.774e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0002 time = 0.2 L_2 Error: 0.084372 2 TS dt 0.1 time 0.2 0 SNES Function norm 0.380922 0 KSP unpreconditioned resid norm 3.809222270566e-01 true resid norm 3.809222270566e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.968841254678e-02 true resid norm 5.968841254678e-02 ||r(i)||/||b|| 1.566944859270e-01 2 KSP unpreconditioned resid norm 5.800384745162e-03 true resid norm 5.800384745162e-03 ||r(i)||/||b|| 1.522721525069e-02 3 KSP unpreconditioned resid norm 4.622462756028e-04 true resid norm 4.622462756028e-04 ||r(i)||/||b|| 1.213492526216e-03 4 KSP unpreconditioned resid norm 7.972477625283e-05 true resid norm 7.972477625284e-05 ||r(i)||/||b|| 2.092941041243e-04 5 KSP unpreconditioned resid norm 5.651496202770e-06 true resid norm 5.651496202787e-06 ||r(i)||/||b|| 1.483635188856e-05 6 KSP unpreconditioned resid norm 6.078212012816e-07 true resid norm 6.078212013076e-07 ||r(i)||/||b|| 1.595656956026e-06 7 KSP unpreconditioned resid norm 4.860650279105e-09 true resid norm 4.860650279805e-09 ||r(i)||/||b|| 1.276021700641e-08 8 KSP unpreconditioned resid norm 1.731140125257e-11 true resid norm 1.731140182079e-11 ||r(i)||/||b|| 4.544602701334e-11 1 SNES Function norm 1.731e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0003 time = 0.3 L_2 Error: 0.12562 3 TS dt 0.1 time 0.3 0 SNES Function norm 0.377457 0 KSP unpreconditioned resid norm 3.774573494154e-01 true resid norm 3.774573494154e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.954853714304e-02 true resid norm 5.954853714304e-02 ||r(i)||/||b|| 1.577622935022e-01 2 KSP unpreconditioned resid norm 5.848939409168e-03 true resid norm 5.848939409168e-03 ||r(i)||/||b|| 1.549562995190e-02 3 KSP unpreconditioned resid norm 4.630907205003e-04 true resid norm 4.630907205002e-04 ||r(i)||/||b|| 1.226868999153e-03 4 KSP unpreconditioned resid norm 8.053803471345e-05 true resid norm 8.053803471342e-05 ||r(i)||/||b|| 2.133698942096e-04 5 KSP unpreconditioned resid norm 5.701869061872e-06 true resid norm 5.701869061870e-06 ||r(i)||/||b|| 1.510599560639e-05 6 KSP unpreconditioned resid norm 6.025388075754e-07 true resid norm 6.025388075944e-07 ||r(i)||/||b|| 1.596309645388e-06 7 KSP unpreconditioned resid norm 4.883261060044e-09 true resid norm 4.883261063505e-09 ||r(i)||/||b|| 1.293725256924e-08 8 KSP unpreconditioned resid norm 1.729375636379e-11 true resid norm 1.729375104729e-11 ||r(i)||/||b|| 4.581643747055e-11 1 SNES Function norm 1.729e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0004 time = 0.4 L_2 Error: 0.16664 4 TS dt 0.1 time 0.4 0 SNES Function norm 0.37449 0 KSP unpreconditioned resid norm 3.744902213650e-01 true resid norm 3.744902213650e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.982974938131e-02 true resid norm 5.982974938131e-02 ||r(i)||/||b|| 1.597631819684e-01 2 KSP unpreconditioned resid norm 5.840834302842e-03 true resid norm 5.840834302842e-03 ||r(i)||/||b|| 1.559676052836e-02 3 KSP unpreconditioned resid norm 4.612964201615e-04 true resid norm 4.612964201614e-04 ||r(i)||/||b|| 1.231798305654e-03 4 KSP unpreconditioned resid norm 8.073771822390e-05 true resid norm 8.073771822391e-05 ||r(i)||/||b|| 2.155936620444e-04 5 KSP unpreconditioned resid norm 5.730193368363e-06 true resid norm 5.730193368351e-06 ||r(i)||/||b|| 1.530131640678e-05 6 KSP unpreconditioned resid norm 6.010616249637e-07 true resid norm 6.010616249715e-07 ||r(i)||/||b|| 1.605012869978e-06 7 KSP unpreconditioned resid norm 4.858498871957e-09 true resid norm 4.858498872870e-09 ||r(i)||/||b|| 1.297363347743e-08 8 KSP unpreconditioned resid norm 1.751406135113e-11 true resid norm 1.751403567040e-11 ||r(i)||/||b|| 4.676767154710e-11 1 SNES Function norm 1.751e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0005 time = 0.5 L_2 Error: 0.2076 5 TS dt 0.1 time 0.5 0 SNES Function norm 0.372928 0 KSP unpreconditioned resid norm 3.729281667988e-01 true resid norm 3.729281667988e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 6.002541949214e-02 true resid norm 6.002541949214e-02 ||r(i)||/||b|| 1.609570551010e-01 2 KSP unpreconditioned resid norm 5.775316419172e-03 true resid norm 5.775316419172e-03 ||r(i)||/||b|| 1.548640444284e-02 3 KSP unpreconditioned resid norm 4.576993940278e-04 true resid norm 4.576993940278e-04 ||r(i)||/||b|| 1.227312482070e-03 4 KSP unpreconditioned resid norm 8.039211062475e-05 true resid norm 8.039211062473e-05 ||r(i)||/||b|| 2.155699616760e-04 5 KSP unpreconditioned resid norm 5.708171590220e-06 true resid norm 5.708171590238e-06 ||r(i)||/||b|| 1.530635682265e-05 6 KSP unpreconditioned resid norm 5.991553964591e-07 true resid norm 5.991553964691e-07 ||r(i)||/||b|| 1.606624143229e-06 7 KSP unpreconditioned resid norm 4.791537579858e-09 true resid norm 4.791537591102e-09 ||r(i)||/||b|| 1.284841966278e-08 8 KSP unpreconditioned resid norm 1.772048749492e-11 true resid norm 1.772051502236e-11 ||r(i)||/||b|| 4.751723414853e-11 1 SNES Function norm 1.772e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0006 time = 0.6 L_2 Error: 0.24859 6 TS dt 0.1 time 0.6 0 SNES Function norm 0.372986 0 KSP unpreconditioned resid norm 3.729860798745e-01 true resid norm 3.729860798745e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.998286066860e-02 true resid norm 5.998286066860e-02 ||r(i)||/||b|| 1.608179605222e-01 2 KSP unpreconditioned resid norm 5.687596001641e-03 true resid norm 5.687596001641e-03 ||r(i)||/||b|| 1.524881572941e-02 3 KSP unpreconditioned resid norm 4.534382695579e-04 true resid norm 4.534382695579e-04 ||r(i)||/||b|| 1.215697566275e-03 4 KSP unpreconditioned resid norm 7.976964452116e-05 true resid norm 7.976964452115e-05 ||r(i)||/||b|| 2.138676181910e-04 5 KSP unpreconditioned resid norm 5.651631937849e-06 true resid norm 5.651631937845e-06 ||r(i)||/||b|| 1.515239372940e-05 6 KSP unpreconditioned resid norm 5.948808411325e-07 true resid norm 5.948808411183e-07 ||r(i)||/||b|| 1.594914323126e-06 7 KSP unpreconditioned resid norm 4.702487381111e-09 true resid norm 4.702487348039e-09 ||r(i)||/||b|| 1.260767519695e-08 8 KSP unpreconditioned resid norm 1.779657220875e-11 true resid norm 1.779659688198e-11 ||r(i)||/||b|| 4.771383663424e-11 1 SNES Function norm 1.780e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0007 time = 0.7 L_2 Error: 0.28962 7 TS dt 0.1 time 0.7 0 SNES Function norm 0.374276 0 KSP unpreconditioned resid norm 3.742759385298e-01 true resid norm 3.742759385298e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.979030900298e-02 true resid norm 5.979030900298e-02 ||r(i)||/||b|| 1.597492727901e-01 2 KSP unpreconditioned resid norm 5.617806615202e-03 true resid norm 5.617806615202e-03 ||r(i)||/||b|| 1.500979901959e-02 3 KSP unpreconditioned resid norm 4.495138691066e-04 true resid norm 4.495138691066e-04 ||r(i)||/||b|| 1.201022622166e-03 4 KSP unpreconditioned resid norm 7.920536127941e-05 true resid norm 7.920536127941e-05 ||r(i)||/||b|| 2.116229047225e-04 5 KSP unpreconditioned resid norm 5.595911671793e-06 true resid norm 5.595911671801e-06 ||r(i)||/||b|| 1.495129955129e-05 6 KSP unpreconditioned resid norm 5.892156061787e-07 true resid norm 5.892156061538e-07 ||r(i)||/||b|| 1.574281286872e-06 7 KSP unpreconditioned resid norm 4.617371734791e-09 true resid norm 4.617371702498e-09 ||r(i)||/||b|| 1.233681149965e-08 8 KSP unpreconditioned resid norm 1.776419283029e-11 true resid norm 1.776421370272e-11 ||r(i)||/||b|| 4.746287931973e-11 1 SNES Function norm 1.776e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0008 time = 0.8 L_2 Error: 0.33068 8 TS dt 0.1 time 0.8 0 SNES Function norm 0.376133 0 KSP unpreconditioned resid norm 3.761327824878e-01 true resid norm 3.761327824878e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.960286328784e-02 true resid norm 5.960286328784e-02 ||r(i)||/||b|| 1.584622932721e-01 2 KSP unpreconditioned resid norm 5.587587079708e-03 true resid norm 5.587587079708e-03 ||r(i)||/||b|| 1.485535784132e-02 3 KSP unpreconditioned resid norm 4.467633715519e-04 true resid norm 4.467633715519e-04 ||r(i)||/||b|| 1.187780997437e-03 4 KSP unpreconditioned resid norm 7.887710489546e-05 true resid norm 7.887710489544e-05 ||r(i)||/||b|| 2.097054778734e-04 5 KSP unpreconditioned resid norm 5.566404901123e-06 true resid norm 5.566404901117e-06 ||r(i)||/||b|| 1.479904214756e-05 6 KSP unpreconditioned resid norm 5.843952130956e-07 true resid norm 5.843952130851e-07 ||r(i)||/||b|| 1.553693908890e-06 7 KSP unpreconditioned resid norm 4.557400918821e-09 true resid norm 4.557400934472e-09 ||r(i)||/||b|| 1.211646829699e-08 8 KSP unpreconditioned resid norm 1.769382827441e-11 true resid norm 1.769385166385e-11 ||r(i)||/||b|| 4.704150365949e-11 1 SNES Function norm 1.769e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0009 time = 0.9 L_2 Error: 0.37179 9 TS dt 0.1 time 0.9 0 SNES Function norm 0.377927 0 KSP unpreconditioned resid norm 3.779274613460e-01 true resid norm 3.779274613460e-01 ||r(i)||/||b|| 1.000000000000e+00 1 KSP unpreconditioned resid norm 5.952775794612e-02 true resid norm 5.952775794612e-02 ||r(i)||/||b|| 1.575110676904e-01 2 KSP unpreconditioned resid norm 5.596783441033e-03 true resid norm 5.596783441033e-03 ||r(i)||/||b|| 1.480914729271e-02 3 KSP unpreconditioned resid norm 4.456392946867e-04 true resid norm 4.456392946866e-04 ||r(i)||/||b|| 1.179166216447e-03 4 KSP unpreconditioned resid norm 7.879630242934e-05 true resid norm 7.879630242930e-05 ||r(i)||/||b|| 2.084958371341e-04 5 KSP unpreconditioned resid norm 5.569022502593e-06 true resid norm 5.569022502581e-06 ||r(i)||/||b|| 1.473569156035e-05 6 KSP unpreconditioned resid norm 5.821644196935e-07 true resid norm 5.821644196750e-07 ||r(i)||/||b|| 1.540413119496e-06 7 KSP unpreconditioned resid norm 4.532618828776e-09 true resid norm 4.532618817180e-09 ||r(i)||/||b|| 1.199335661144e-08 8 KSP unpreconditioned resid norm 1.763889785026e-11 true resid norm 1.763888741317e-11 ||r(i)||/||b|| 4.667267985859e-11 1 SNES Function norm 1.764e-11 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 1 MPI process type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 total number of linear solver iterations=8 total number of function evaluations=2 norm schedule ALWAYS SNESLineSearch Object: 1 MPI process type: bt interpolation: cubic alpha=1.000000e-04 maxlambda=1.000000e+00, minlambda=1.000000e-12 tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08 maximum iterations=40 KSP Object: 1 MPI process type: fgmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10000, initial guess is zero tolerances: relative=1e-09, absolute=1e-50, divergence=10000. right preconditioning using UNPRECONDITIONED norm type for convergence test PC Object: 1 MPI process type: mg type is MULTIPLICATIVE, levels=2 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 1 MPI process type: preonly maximum iterations=10000, initial guess is zero tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_coarse_) 1 MPI process type: lu out-of-place factorization tolerance for zero pivot 2.22045e-14 using diagonal shift on blocks to prevent zero pivot [INBLOCKS] matrix ordering: nd factor fill ratio given 1., needed 1. Factored matrix: Mat Object: (mg_coarse_) 1 MPI process type: seqaij rows=1, cols=1 package used to perform factorization: petsc total: nonzeros=1, allocated nonzeros=1 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=1, cols=1 total: nonzeros=1, allocated nonzeros=1 total number of mallocs used during MatSetValues calls=0 not using I-node routines Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 1 MPI process type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.151841, max 1.67025 eigenvalues estimated via gmres: min 0.994613, max 1.51841 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 1 MPI process type: gmres restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement happy breakdown tolerance=1e-30 maximum iterations=10, initial guess is zero tolerances: relative=1e-12, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test estimating eigenvalues using a noisy random number generated right-hand side maximum iterations=2, nonzero initial guess tolerances: relative=1e-05, absolute=1e-50, divergence=10000. left preconditioning not checking for convergence PC Object: (mg_levels_1_) 1 MPI process type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=9, cols=9 total: nonzeros=41, allocated nonzeros=41 total number of mallocs used during MatSetValues calls=0 not using I-node routines Timestep: 0010 time = 1 L_2 Error: 0.41293 10 TS dt 0.1 time 1.