xref: /petsc/src/snes/tutorials/output/ex5_4.out (revision 70646cd191a02c3aba559ba717dac5da7a8a1e20)
1c4762a1bSJed Brown      0 SNES Function norm 0.995735
2c4762a1bSJed Brown      Linear solve converged due to CONVERGED_RTOL iterations 2
3c4762a1bSJed Brown      1 SNES Function norm 0.276938
4c4762a1bSJed Brown      Linear solve converged due to CONVERGED_RTOL iterations 2
5c4762a1bSJed Brown      2 SNES Function norm 0.00668678
6c4762a1bSJed Brown      Linear solve converged due to CONVERGED_RTOL iterations 2
7c4762a1bSJed Brown      3 SNES Function norm 4.61503e-06
8c4762a1bSJed Brown      Linear solve converged due to CONVERGED_RTOL iterations 2
9c4762a1bSJed Brown      4 SNES Function norm < 1.e-11
10c4762a1bSJed Brown    Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 4
11c4762a1bSJed Brown    0 SNES Function norm 0.0763997
12c4762a1bSJed Brown    Linear solve converged due to CONVERGED_RTOL iterations 6
13c4762a1bSJed Brown    1 SNES Function norm 2.68503e-05
14c4762a1bSJed Brown    Linear solve converged due to CONVERGED_RTOL iterations 5
15c4762a1bSJed Brown    2 SNES Function norm 6.777e-10
16c4762a1bSJed Brown  Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2
17c4762a1bSJed Brown  0 SNES Function norm 0.0408394
18c4762a1bSJed Brown  Linear solve converged due to CONVERGED_RTOL iterations 6
19c4762a1bSJed Brown  1 SNES Function norm 9.57612e-07
20c4762a1bSJed Brown  Linear solve converged due to CONVERGED_RTOL iterations 4
21c4762a1bSJed Brown  2 SNES Function norm 2.903e-10
22c4762a1bSJed BrownNonlinear solve converged due to CONVERGED_FNORM_RELATIVE iterations 2
23c4762a1bSJed BrownSNES Object: 2 MPI processes
24c4762a1bSJed Brown  type: newtonls
25c4762a1bSJed Brown  maximum iterations=50, maximum function evaluations=10000
26c4762a1bSJed Brown  tolerances: relative=1e-08, absolute=-1., solution=1e-08
27c4762a1bSJed Brown  total number of linear solver iterations=29
28c4762a1bSJed Brown  total number of function evaluations=11
29c4762a1bSJed Brown  norm schedule ALWAYS
30c4762a1bSJed Brown  total number of grid sequence refinements=2
31c4762a1bSJed Brown  Jacobian is built using a DMDA local Jacobian
32c4762a1bSJed Brown  SNESLineSearch Object: 2 MPI processes
33c4762a1bSJed Brown    type: bt
34c4762a1bSJed Brown      interpolation: cubic
35c4762a1bSJed Brown      alpha=1.000000e-04
36a99ef635SJonas Heinzmann    maxlambda=1.000000e+00, minlambda=1.000000e-12
37c4762a1bSJed Brown    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
38c4762a1bSJed Brown    maximum iterations=40
39c4762a1bSJed Brown  KSP Object: 2 MPI processes
40c4762a1bSJed Brown    type: gmres
41f971d498SPierre Jolivet      restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
42*143f2514SPierre Jolivet      happy breakdown tolerance=1e-30
43c4762a1bSJed Brown    maximum iterations=10000, initial guess is zero
44c4762a1bSJed Brown    tolerances: relative=1e-05, absolute=-1., divergence=10000.
45c4762a1bSJed Brown    left preconditioning
46c4762a1bSJed Brown    using PRECONDITIONED norm type for convergence test
47c4762a1bSJed Brown  PC Object: 2 MPI processes
48c4762a1bSJed Brown    type: mg
49c4762a1bSJed Brown      type is MULTIPLICATIVE, levels=3 cycles=v
50c4762a1bSJed Brown        Cycles per PCApply=1
51c4762a1bSJed Brown        Not using Galerkin computed coarse grid matrices
5263a3b9bcSJacob Faibussowitsch    Coarse grid solver -- level 0 -------------------------------
53c4762a1bSJed Brown      KSP Object: (mg_coarse_) 2 MPI processes
54c4762a1bSJed Brown        type: preonly
55c4762a1bSJed Brown        maximum iterations=10000, initial guess is zero
56c4762a1bSJed Brown        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
57c4762a1bSJed Brown        left preconditioning
588405740aSBarry Smith        not checking for convergence
59c4762a1bSJed Brown      PC Object: (mg_coarse_) 2 MPI processes
60c4762a1bSJed Brown        type: redundant
61c4762a1bSJed Brown          First (color=0) of 2 PCs follows
628cc725e6SPierre Jolivet          KSP Object: (mg_coarse_redundant_) 1 MPI process
63c4762a1bSJed Brown            type: preonly
64c4762a1bSJed Brown            maximum iterations=10000, initial guess is zero
65c4762a1bSJed Brown            tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
66c4762a1bSJed Brown            left preconditioning
678405740aSBarry Smith            not checking for convergence
688cc725e6SPierre Jolivet          PC Object: (mg_coarse_redundant_) 1 MPI process
69c4762a1bSJed Brown            type: lu
70c4762a1bSJed Brown              out-of-place factorization
71c4762a1bSJed Brown              tolerance for zero pivot 2.22045e-14
72c4762a1bSJed Brown              using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
73c4762a1bSJed Brown              matrix ordering: nd
74c4762a1bSJed Brown              factor fill ratio given 5., needed 1.875
75ecf3d421SBarry Smith                Factored matrix:
7626cc229bSBarry Smith                  Mat Object: (mg_coarse_redundant_) 1 MPI process
77c4762a1bSJed Brown                    type: seqaij
78c4762a1bSJed Brown                    rows=16, cols=16
79c4762a1bSJed Brown                    package used to perform factorization: petsc
80c4762a1bSJed Brown                    total: nonzeros=120, allocated nonzeros=120
81c4762a1bSJed Brown                      using I-node routines: found 12 nodes, limit used is 5
82ecf3d421SBarry Smith            linear system matrix, which is also used to construct the preconditioner:
8326cc229bSBarry Smith            Mat Object: 1 MPI process
84c4762a1bSJed Brown              type: seqaij
85c4762a1bSJed Brown              rows=16, cols=16
86c4762a1bSJed Brown              total: nonzeros=64, allocated nonzeros=64
87c4762a1bSJed Brown              total number of mallocs used during MatSetValues calls=0
88c4762a1bSJed Brown                not using I-node routines
89ecf3d421SBarry Smith        linear system matrix, which is also used to construct the preconditioner:
90c4762a1bSJed Brown        Mat Object: 2 MPI processes
91c4762a1bSJed Brown          type: mpiaij
92c4762a1bSJed Brown          rows=16, cols=16
93c4762a1bSJed Brown          total: nonzeros=64, allocated nonzeros=64
94c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
95c4762a1bSJed Brown    Down solver (pre-smoother) on level 1 -------------------------------
96c4762a1bSJed Brown      KSP Object: (mg_levels_1_) 2 MPI processes
97c4762a1bSJed Brown        type: chebyshev
98f2edd1f0SMalachi Phillips          Chebyshev polynomial of first kind
9973f7197eSJed Brown          eigenvalue targets used: min 0.12873, max 1.41603
10073f7197eSJed Brown          eigenvalues estimated via gmres: min 0.220123, max 1.2873
10173f7197eSJed Brown          eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1]
102c4762a1bSJed Brown          KSP Object: (mg_levels_1_esteig_) 2 MPI processes
103c4762a1bSJed Brown            type: gmres
104f971d498SPierre Jolivet              restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
105*143f2514SPierre Jolivet              happy breakdown tolerance=1e-30
106c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
107c4762a1bSJed Brown            tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
108c4762a1bSJed Brown            left preconditioning
109c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
110dd8e379bSPierre Jolivet          estimating eigenvalues using a noisy random number generated right-hand side
111c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
112c4762a1bSJed Brown        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
113c4762a1bSJed Brown        left preconditioning
1148405740aSBarry Smith        not checking for convergence
115c4762a1bSJed Brown      PC Object: (mg_levels_1_) 2 MPI processes
116c4762a1bSJed Brown        type: sor
117c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
118ecf3d421SBarry Smith        linear system matrix, which is also used to construct the preconditioner:
119c4762a1bSJed Brown        Mat Object: 2 MPI processes
120c4762a1bSJed Brown          type: mpiaij
121c4762a1bSJed Brown          rows=49, cols=49
122c4762a1bSJed Brown          total: nonzeros=217, allocated nonzeros=217
123c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
124c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
125c4762a1bSJed Brown    Down solver (pre-smoother) on level 2 -------------------------------
126c4762a1bSJed Brown      KSP Object: (mg_levels_2_) 2 MPI processes
127c4762a1bSJed Brown        type: chebyshev
128f2edd1f0SMalachi Phillips          Chebyshev polynomial of first kind
12973f7197eSJed Brown          eigenvalue targets used: min 0.12637, max 1.39007
13073f7197eSJed Brown          eigenvalues estimated via gmres: min 0.0725255, max 1.2637
13173f7197eSJed Brown          eigenvalues estimated using gmres with transform: [0. 0.1; 0. 1.1]
132c4762a1bSJed Brown          KSP Object: (mg_levels_2_esteig_) 2 MPI processes
133c4762a1bSJed Brown            type: gmres
134f971d498SPierre Jolivet              restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
135*143f2514SPierre Jolivet              happy breakdown tolerance=1e-30
136c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
137c4762a1bSJed Brown            tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
138c4762a1bSJed Brown            left preconditioning
139c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
140dd8e379bSPierre Jolivet          estimating eigenvalues using a noisy random number generated right-hand side
141c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
142c4762a1bSJed Brown        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
143c4762a1bSJed Brown        left preconditioning
1448405740aSBarry Smith        not checking for convergence
145c4762a1bSJed Brown      PC Object: (mg_levels_2_) 2 MPI processes
146c4762a1bSJed Brown        type: sor
147c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
148ecf3d421SBarry Smith        linear system matrix, which is also used to construct the preconditioner:
149c4762a1bSJed Brown        Mat Object: 2 MPI processes
150c4762a1bSJed Brown          type: mpiaij
151c4762a1bSJed Brown          rows=169, cols=169
152c4762a1bSJed Brown          total: nonzeros=793, allocated nonzeros=793
153c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
154c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
155ecf3d421SBarry Smith    linear system matrix, which is also used to construct the preconditioner:
156c4762a1bSJed Brown    Mat Object: 2 MPI processes
157c4762a1bSJed Brown      type: mpiaij
158c4762a1bSJed Brown      rows=169, cols=169
159c4762a1bSJed Brown      total: nonzeros=793, allocated nonzeros=793
160c4762a1bSJed Brown      total number of mallocs used during MatSetValues calls=0
161