xref: /petsc/src/snes/tutorials/output/ex5_2.out (revision d52a580b706c59ca78066c1e38754e45b6b56e2b)
1        0 SNES Function norm 0.995735
2        Linear solve converged due to CONVERGED_RTOL iterations 3
3        1 SNES Function norm 0.276938
4        Linear solve converged due to CONVERGED_RTOL iterations 3
5        2 SNES Function norm 0.00668678
6        Linear solve converged due to CONVERGED_RTOL iterations 2
7        3 SNES Function norm 4.61502e-06
8        Linear solve converged due to CONVERGED_RTOL iterations 2
9        4 SNES Function norm 1.568e-11
10      0 SNES Function norm 0.0763997
11      Linear solve converged due to CONVERGED_RTOL iterations 2
12      1 SNES Function norm 2.67906e-05
13      Linear solve converged due to CONVERGED_RTOL iterations 2
14      2 SNES Function norm 9.312e-11
15    0 SNES Function norm 0.0408394
16    Linear solve converged due to CONVERGED_RTOL iterations 2
17    1 SNES Function norm 9.10598e-07
18    Linear solve converged due to CONVERGED_RTOL iterations 2
19    2 SNES Function norm < 1.e-11
20  0 SNES Function norm 0.021012
21  Linear solve converged due to CONVERGED_RTOL iterations 2
22  1 SNES Function norm 3.84069e-08
23  Linear solve converged due to CONVERGED_RTOL iterations 2
24  2 SNES Function norm < 1.e-11
25SNES Object: 1 MPI process
26  type: newtonls
27  maximum iterations=50, maximum function evaluations=10000
28  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
29  total number of linear solver iterations=22
30  total number of function evaluations=14
31  norm schedule ALWAYS
32  total number of grid sequence refinements=3
33  Jacobian is built using a DMDA local Jacobian
34  SNESLineSearch Object: 1 MPI process
35    type: bt
36      interpolation: cubic
37      alpha=1.000000e-04
38    maxlambda=1.000000e+00, minlambda=1.000000e-12
39    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
40    maximum iterations=40
41  KSP Object: 1 MPI process
42    type: gmres
43      restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
44      happy breakdown tolerance=1e-30
45    maximum iterations=10000, initial guess is zero
46    tolerances: relative=1e-05, absolute=-1., divergence=10000.
47    left preconditioning
48    using PRECONDITIONED norm type for convergence test
49  PC Object: 1 MPI process
50    type: mg
51      type is FULL, levels=4 cycles=v
52        Using Galerkin computed coarse grid matrices for pmat
53    Coarse grid solver -- level 0 -------------------------------
54      KSP Object: (mg_coarse_) 1 MPI process
55        type: preonly
56        maximum iterations=10000, initial guess is zero
57        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
58        left preconditioning
59        not checking for convergence
60      PC Object: (mg_coarse_) 1 MPI process
61        type: lu
62          out-of-place factorization
63          tolerance for zero pivot 2.22045e-14
64          using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
65          matrix ordering: nd
66          factor fill ratio given 5., needed 1.42
67            Factored matrix:
68              Mat Object: (mg_coarse_) 1 MPI process
69                type: seqaij
70                rows=16, cols=16
71                package used to perform factorization: petsc
72                total: nonzeros=142, allocated nonzeros=142
73                  using I-node routines: found 11 nodes, limit used is 5
74        linear system matrix, which is also used to construct the preconditioner:
75        Mat Object: 1 MPI process
76          type: seqaij
77          rows=16, cols=16
78          total: nonzeros=100, allocated nonzeros=100
79          total number of mallocs used during MatSetValues calls=0
80            not using I-node routines
81    Down solver (pre-smoother) on level 1 -------------------------------
82      KSP Object: (mg_levels_1_) 1 MPI process
83        type: chebyshev
84          Chebyshev polynomial of first kind
85          eigenvalue targets used: min 0.49992, max 1.09982
86          eigenvalues estimated via gmres: min 0.38164, max 0.999839
87          eigenvalues estimated using gmres with transform: [0. 0.5; 0. 1.1]
88          KSP Object: (mg_levels_1_esteig_) 1 MPI process
89            type: gmres
90              restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
91              happy breakdown tolerance=1e-30
92            maximum iterations=10, initial guess is zero
93            tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
94            left preconditioning
95            using PRECONDITIONED norm type for convergence test
96          estimating eigenvalues using a noisy random number generated right-hand side
97        maximum iterations=2, nonzero initial guess
98        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
99        left preconditioning
100        not checking for convergence
101      PC Object: (mg_levels_1_) 1 MPI process
102        type: sor
103          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
104        linear system matrix, which is also used to construct the preconditioner:
105        Mat Object: 1 MPI process
106          type: seqaij
107          rows=49, cols=49
108          total: nonzeros=361, allocated nonzeros=361
109          total number of mallocs used during MatSetValues calls=0
110            not using I-node routines
111    Up solver (post-smoother) same as down solver (pre-smoother)
112    Down solver (pre-smoother) on level 2 -------------------------------
113      KSP Object: (mg_levels_2_) 1 MPI process
114        type: chebyshev
115          Chebyshev polynomial of first kind
116          eigenvalue targets used: min 0.498238, max 1.09612
117          eigenvalues estimated via gmres: min 0.11325, max 0.996475
118          eigenvalues estimated using gmres with transform: [0. 0.5; 0. 1.1]
119          KSP Object: (mg_levels_2_esteig_) 1 MPI process
120            type: gmres
121              restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
122              happy breakdown tolerance=1e-30
123            maximum iterations=10, initial guess is zero
124            tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
125            left preconditioning
126            using PRECONDITIONED norm type for convergence test
127          estimating eigenvalues using a noisy random number generated right-hand side
128        maximum iterations=2, nonzero initial guess
129        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
130        left preconditioning
131        not checking for convergence
132      PC Object: (mg_levels_2_) 1 MPI process
133        type: sor
134          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
135        linear system matrix, which is also used to construct the preconditioner:
136        Mat Object: 1 MPI process
137          type: seqaij
138          rows=169, cols=169
139          total: nonzeros=1369, allocated nonzeros=1369
140          total number of mallocs used during MatSetValues calls=0
141            not using I-node routines
142    Up solver (post-smoother) same as down solver (pre-smoother)
143    Down solver (pre-smoother) on level 3 -------------------------------
144      KSP Object: (mg_levels_3_) 1 MPI process
145        type: chebyshev
146          Chebyshev polynomial of first kind
147          eigenvalue targets used: min 0.498868, max 1.09751
148          eigenvalues estimated via gmres: min 0.0267868, max 0.997736
149          eigenvalues estimated using gmres with transform: [0. 0.5; 0. 1.1]
150          KSP Object: (mg_levels_3_esteig_) 1 MPI process
151            type: gmres
152              restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
153              happy breakdown tolerance=1e-30
154            maximum iterations=10, initial guess is zero
155            tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
156            left preconditioning
157            using PRECONDITIONED norm type for convergence test
158          estimating eigenvalues using a noisy random number generated right-hand side
159        maximum iterations=2, nonzero initial guess
160        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
161        left preconditioning
162        not checking for convergence
163      PC Object: (mg_levels_3_) 1 MPI process
164        type: sor
165          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
166        linear system matrix, which is also used to construct the preconditioner:
167        Mat Object: 1 MPI process
168          type: seqaij
169          rows=625, cols=625
170          total: nonzeros=3025, allocated nonzeros=3025
171          total number of mallocs used during MatSetValues calls=0
172            not using I-node routines
173    Up solver (post-smoother) same as down solver (pre-smoother)
174    linear system matrix, which is also used to construct the preconditioner:
175    Mat Object: 1 MPI process
176      type: seqaij
177      rows=625, cols=625
178      total: nonzeros=3025, allocated nonzeros=3025
179      total number of mallocs used during MatSetValues calls=0
180        not using I-node routines
181