Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 1 SNES Object: 2 MPI processes type: newtonls maximum iterations=50, maximum function evaluations=10000 tolerances: relative=0.01, absolute=-1., solution=1e-08 total number of linear solver iterations=17 norm schedule ALWAYS total number of grid sequence refinements=2 Jacobian is applied matrix-free with differencing Preconditioning Jacobian is built using a DMDA local Jacobian SNESLineSearch Object: 2 MPI processes 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: 2 MPI processes type: gmres 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-05, absolute=1e-50, divergence=10000. left preconditioning using PRECONDITIONED norm type for convergence test PC Object: 2 MPI processes type: mg type is MULTIPLICATIVE, levels=3 cycles=v Cycles per PCApply=1 Not using Galerkin computed coarse grid matrices Coarse grid solver -- level 0 ------------------------------- KSP Object: (mg_coarse_) 2 MPI processes 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_) 2 MPI processes type: redundant First (color=0) of 2 PCs follows KSP Object: (mg_coarse_redundant_) 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_redundant_) 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 5., needed 1.875 Factored matrix: Mat Object: (mg_coarse_redundant_) 1 MPI process type: seqaij rows=16, cols=16 package used to perform factorization: petsc total: nonzeros=120, allocated nonzeros=120 using I-node routines: found 12 nodes, limit used is 5 linear system matrix, which is also used to construct the preconditioner: Mat Object: 1 MPI process type: seqaij rows=16, cols=16 total: nonzeros=64, allocated nonzeros=64 total number of mallocs used during MatSetValues calls=0 not using I-node routines linear system matrix, which is also used to construct the preconditioner: Mat Object: 2 MPI processes type: mpiaij rows=16, cols=16 total: nonzeros=64, allocated nonzeros=64 total number of mallocs used during MatSetValues calls=0 Down solver (pre-smoother) on level 1 ------------------------------- KSP Object: (mg_levels_1_) 2 MPI processes type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.12873, max 1.41603 eigenvalues estimated via gmres: min 0.220124, max 1.2873 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_1_esteig_) 2 MPI processes 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_) 2 MPI processes 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: 2 MPI processes type: mpiaij rows=49, cols=49 total: nonzeros=217, allocated nonzeros=217 total number of mallocs used during MatSetValues calls=0 Up solver (post-smoother) same as down solver (pre-smoother) Down solver (pre-smoother) on level 2 ------------------------------- KSP Object: (mg_levels_2_) 2 MPI processes type: chebyshev Chebyshev polynomial of first kind eigenvalue targets used: min 0.126369, max 1.39006 eigenvalues estimated via gmres: min 0.0725743, max 1.26369 eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1] KSP Object: (mg_levels_2_esteig_) 2 MPI processes 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_2_) 2 MPI processes type: sor type = local_symmetric, iterations = 1, local iterations = 1, omega = 1. linear system matrix, followed by the matrix used to construct the preconditioner: Mat Object: 2 MPI processes type: mffd rows=169, cols=169 Matrix-free approximation: err=1.49012e-08 (relative error in function evaluation) Using wp compute h routine Does not compute normU Mat Object: 2 MPI processes type: mpiaij rows=169, cols=169 total: nonzeros=793, allocated nonzeros=793 total number of mallocs used during MatSetValues calls=0 Up solver (post-smoother) same as down solver (pre-smoother) linear system matrix, followed by the matrix used to construct the preconditioner: Mat Object: 2 MPI processes type: mffd rows=169, cols=169 Matrix-free approximation: err=1.49012e-08 (relative error in function evaluation) Using wp compute h routine Does not compute normU Mat Object: 2 MPI processes type: mpiaij rows=169, cols=169 total: nonzeros=793, allocated nonzeros=793 total number of mallocs used during MatSetValues calls=0