xref: /petsc/src/snes/tutorials/output/ex19_tut_2.out (revision c4762a1b19cd2af06abeed90e8f9d34fb975dd94)
1*c4762a1bSJed Brownlid velocity = 0.000106281, prandtl # = 1., grashof # = 1.
2*c4762a1bSJed Brown  0 SNES Function norm 1.036007954337e-02
3*c4762a1bSJed Brown    0 KSP Residual norm 2.388589583549e+00
4*c4762a1bSJed Brown    1 KSP Residual norm 5.715829806981e-01
5*c4762a1bSJed Brown    2 KSP Residual norm 4.623679005936e-02
6*c4762a1bSJed Brown    3 KSP Residual norm 1.143381177646e-02
7*c4762a1bSJed Brown    4 KSP Residual norm 2.015139840224e-03
8*c4762a1bSJed Brown    5 KSP Residual norm 4.356196119798e-04
9*c4762a1bSJed Brown    6 KSP Residual norm 4.240953066710e-05
10*c4762a1bSJed Brown    7 KSP Residual norm 8.848315297175e-06
11*c4762a1bSJed Brown  1 SNES Function norm 9.854304971115e-06
12*c4762a1bSJed Brown    0 KSP Residual norm 3.868049496775e-05
13*c4762a1bSJed Brown    1 KSP Residual norm 7.693574326868e-06
14*c4762a1bSJed Brown    2 KSP Residual norm 1.059429116239e-06
15*c4762a1bSJed Brown    3 KSP Residual norm 4.004524784804e-07
16*c4762a1bSJed Brown    4 KSP Residual norm 1.050186948327e-07
17*c4762a1bSJed Brown    5 KSP Residual norm 5.073180513583e-08
18*c4762a1bSJed Brown    6 KSP Residual norm 2.510513776297e-08
19*c4762a1bSJed Brown    7 KSP Residual norm 1.211886495400e-08
20*c4762a1bSJed Brown    8 KSP Residual norm 1.911963112131e-09
21*c4762a1bSJed Brown    9 KSP Residual norm 3.005260864225e-10
22*c4762a1bSJed Brown  2 SNES Function norm 3.117674497824e-10
23*c4762a1bSJed Brown    0 KSP Residual norm 3.005042584730e-10
24*c4762a1bSJed Brown    1 KSP Residual norm 1.120673922713e-10
25*c4762a1bSJed Brown    2 KSP Residual norm 3.288439453292e-11
26*c4762a1bSJed Brown    3 KSP Residual norm 5.822504321413e-12
27*c4762a1bSJed Brown    4 KSP Residual norm 2.486684466178e-12
28*c4762a1bSJed Brown    5 KSP Residual norm 1.198858055503e-12
29*c4762a1bSJed Brown    6 KSP Residual norm 6.255669709502e-13
30*c4762a1bSJed Brown    7 KSP Residual norm 1.544647758005e-13
31*c4762a1bSJed Brown    8 KSP Residual norm 4.592122224907e-14
32*c4762a1bSJed Brown    9 KSP Residual norm 4.984149547392e-15
33*c4762a1bSJed Brown   10 KSP Residual norm 8.905129652955e-16
34*c4762a1bSJed Brown  3 SNES Function norm 1.045594761851e-14
35*c4762a1bSJed BrownSNES Object: 4 MPI processes
36*c4762a1bSJed Brown  type: newtonls
37*c4762a1bSJed Brown  maximum iterations=50, maximum function evaluations=10000
38*c4762a1bSJed Brown  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
39*c4762a1bSJed Brown  total number of linear solver iterations=26
40*c4762a1bSJed Brown  total number of function evaluations=4
41*c4762a1bSJed Brown  norm schedule ALWAYS
42*c4762a1bSJed Brown  Jacobian is built using colored finite differences on a DMDA
43*c4762a1bSJed BrownSNESLineSearch Object: 4 MPI processes
44*c4762a1bSJed Brown    type: bt
45*c4762a1bSJed Brown      interpolation: cubic
46*c4762a1bSJed Brown      alpha=1.000000e-04
47*c4762a1bSJed Brown    maxstep=1.000000e+08, minlambda=1.000000e-12
48*c4762a1bSJed Brown    tolerances: relative=1.000000e-08, absolute=1.000000e-15, lambda=1.000000e-08
49*c4762a1bSJed Brown    maximum iterations=40
50*c4762a1bSJed Brown  KSP Object: 4 MPI processes
51*c4762a1bSJed Brown    type: gmres
52*c4762a1bSJed Brown      restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
53*c4762a1bSJed Brown      happy breakdown tolerance 1e-30
54*c4762a1bSJed Brown    maximum iterations=10000, initial guess is zero
55*c4762a1bSJed Brown    tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
56*c4762a1bSJed Brown    left preconditioning
57*c4762a1bSJed Brown    using PRECONDITIONED norm type for convergence test
58*c4762a1bSJed Brown  PC Object: 4 MPI processes
59*c4762a1bSJed Brown    type: mg
60*c4762a1bSJed Brown      type is MULTIPLICATIVE, levels=6 cycles=v
61*c4762a1bSJed Brown        Cycles per PCApply=1
62*c4762a1bSJed Brown        Not using Galerkin computed coarse grid matrices
63*c4762a1bSJed Brown    Coarse grid solver -- level -------------------------------
64*c4762a1bSJed Brown      KSP Object: (mg_coarse_) 4 MPI processes
65*c4762a1bSJed Brown        type: preonly
66*c4762a1bSJed Brown        maximum iterations=10000, initial guess is zero
67*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
68*c4762a1bSJed Brown        left preconditioning
69*c4762a1bSJed Brown        using NONE norm type for convergence test
70*c4762a1bSJed Brown      PC Object: (mg_coarse_) 4 MPI processes
71*c4762a1bSJed Brown        type: redundant
72*c4762a1bSJed Brown          First (color=0) of 4 PCs follows
73*c4762a1bSJed Brown          KSP Object: (mg_coarse_redundant_) 1 MPI processes
74*c4762a1bSJed Brown            type: preonly
75*c4762a1bSJed Brown            maximum iterations=10000, initial guess is zero
76*c4762a1bSJed Brown            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
77*c4762a1bSJed Brown            left preconditioning
78*c4762a1bSJed Brown            using NONE norm type for convergence test
79*c4762a1bSJed Brown          PC Object: (mg_coarse_redundant_) 1 MPI processes
80*c4762a1bSJed Brown            type: lu
81*c4762a1bSJed Brown              out-of-place factorization
82*c4762a1bSJed Brown              tolerance for zero pivot 2.22045e-14
83*c4762a1bSJed Brown              using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
84*c4762a1bSJed Brown              matrix ordering: nd
85*c4762a1bSJed Brown              factor fill ratio given 5., needed 1.875
86*c4762a1bSJed Brown                Factored matrix follows:
87*c4762a1bSJed Brown                  Mat Object: 1 MPI processes
88*c4762a1bSJed Brown                    type: seqaij
89*c4762a1bSJed Brown                    rows=64, cols=64, bs=4
90*c4762a1bSJed Brown                    package used to perform factorization: petsc
91*c4762a1bSJed Brown                    total: nonzeros=1920, allocated nonzeros=1920
92*c4762a1bSJed Brown                    total number of mallocs used during MatSetValues calls=0
93*c4762a1bSJed Brown                      using I-node routines: found 16 nodes, limit used is 5
94*c4762a1bSJed Brown            linear system matrix = precond matrix:
95*c4762a1bSJed Brown            Mat Object: 1 MPI processes
96*c4762a1bSJed Brown              type: seqaij
97*c4762a1bSJed Brown              rows=64, cols=64, bs=4
98*c4762a1bSJed Brown              total: nonzeros=1024, allocated nonzeros=1024
99*c4762a1bSJed Brown              total number of mallocs used during MatSetValues calls=0
100*c4762a1bSJed Brown                using I-node routines: found 16 nodes, limit used is 5
101*c4762a1bSJed Brown        linear system matrix = precond matrix:
102*c4762a1bSJed Brown        Mat Object: 4 MPI processes
103*c4762a1bSJed Brown          type: mpiaij
104*c4762a1bSJed Brown          rows=64, cols=64, bs=4
105*c4762a1bSJed Brown          total: nonzeros=1024, allocated nonzeros=1024
106*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
107*c4762a1bSJed Brown    Down solver (pre-smoother) on level 1 -------------------------------
108*c4762a1bSJed Brown      KSP Object: (mg_levels_1_) 4 MPI processes
109*c4762a1bSJed Brown        type: chebyshev
110*c4762a1bSJed Brown          eigenvalue estimates used:  min = 0.148269, max = 1.63095
111*c4762a1bSJed Brown          eigenvalues estimate via gmres min 0.144902, max 1.48269
112*c4762a1bSJed Brown          eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
113*c4762a1bSJed Brown          KSP Object: (mg_levels_1_esteig_) 4 MPI processes
114*c4762a1bSJed Brown            type: gmres
115*c4762a1bSJed Brown              restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
116*c4762a1bSJed Brown              happy breakdown tolerance 1e-30
117*c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
118*c4762a1bSJed Brown            tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
119*c4762a1bSJed Brown            left preconditioning
120*c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
121*c4762a1bSJed Brown          estimating eigenvalues using noisy right hand side
122*c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
123*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
124*c4762a1bSJed Brown        left preconditioning
125*c4762a1bSJed Brown        using NONE norm type for convergence test
126*c4762a1bSJed Brown      PC Object: (mg_levels_1_) 4 MPI processes
127*c4762a1bSJed Brown        type: sor
128*c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
129*c4762a1bSJed Brown        linear system matrix = precond matrix:
130*c4762a1bSJed Brown        Mat Object: 4 MPI processes
131*c4762a1bSJed Brown          type: mpiaij
132*c4762a1bSJed Brown          rows=196, cols=196, bs=4
133*c4762a1bSJed Brown          total: nonzeros=3472, allocated nonzeros=3472
134*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
135*c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
136*c4762a1bSJed Brown    Down solver (pre-smoother) on level 2 -------------------------------
137*c4762a1bSJed Brown      KSP Object: (mg_levels_2_) 4 MPI processes
138*c4762a1bSJed Brown        type: chebyshev
139*c4762a1bSJed Brown          eigenvalue estimates used:  min = 0.149178, max = 1.64096
140*c4762a1bSJed Brown          eigenvalues estimate via gmres min 0.0843938, max 1.49178
141*c4762a1bSJed Brown          eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
142*c4762a1bSJed Brown          KSP Object: (mg_levels_2_esteig_) 4 MPI processes
143*c4762a1bSJed Brown            type: gmres
144*c4762a1bSJed Brown              restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
145*c4762a1bSJed Brown              happy breakdown tolerance 1e-30
146*c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
147*c4762a1bSJed Brown            tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
148*c4762a1bSJed Brown            left preconditioning
149*c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
150*c4762a1bSJed Brown          estimating eigenvalues using noisy right hand side
151*c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
152*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
153*c4762a1bSJed Brown        left preconditioning
154*c4762a1bSJed Brown        using NONE norm type for convergence test
155*c4762a1bSJed Brown      PC Object: (mg_levels_2_) 4 MPI processes
156*c4762a1bSJed Brown        type: sor
157*c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
158*c4762a1bSJed Brown        linear system matrix = precond matrix:
159*c4762a1bSJed Brown        Mat Object: 4 MPI processes
160*c4762a1bSJed Brown          type: mpiaij
161*c4762a1bSJed Brown          rows=676, cols=676, bs=4
162*c4762a1bSJed Brown          total: nonzeros=12688, allocated nonzeros=12688
163*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
164*c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
165*c4762a1bSJed Brown    Down solver (pre-smoother) on level 3 -------------------------------
166*c4762a1bSJed Brown      KSP Object: (mg_levels_3_) 4 MPI processes
167*c4762a1bSJed Brown        type: chebyshev
168*c4762a1bSJed Brown          eigenvalue estimates used:  min = 0.146454, max = 1.61099
169*c4762a1bSJed Brown          eigenvalues estimate via gmres min 0.0659153, max 1.46454
170*c4762a1bSJed Brown          eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
171*c4762a1bSJed Brown          KSP Object: (mg_levels_3_esteig_) 4 MPI processes
172*c4762a1bSJed Brown            type: gmres
173*c4762a1bSJed Brown              restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
174*c4762a1bSJed Brown              happy breakdown tolerance 1e-30
175*c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
176*c4762a1bSJed Brown            tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
177*c4762a1bSJed Brown            left preconditioning
178*c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
179*c4762a1bSJed Brown          estimating eigenvalues using noisy right hand side
180*c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
181*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
182*c4762a1bSJed Brown        left preconditioning
183*c4762a1bSJed Brown        using NONE norm type for convergence test
184*c4762a1bSJed Brown      PC Object: (mg_levels_3_) 4 MPI processes
185*c4762a1bSJed Brown        type: sor
186*c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
187*c4762a1bSJed Brown        linear system matrix = precond matrix:
188*c4762a1bSJed Brown        Mat Object: 4 MPI processes
189*c4762a1bSJed Brown          type: mpiaij
190*c4762a1bSJed Brown          rows=2500, cols=2500, bs=4
191*c4762a1bSJed Brown          total: nonzeros=48400, allocated nonzeros=48400
192*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
193*c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
194*c4762a1bSJed Brown    Down solver (pre-smoother) on level 4 -------------------------------
195*c4762a1bSJed Brown      KSP Object: (mg_levels_4_) 4 MPI processes
196*c4762a1bSJed Brown        type: chebyshev
197*c4762a1bSJed Brown          eigenvalue estimates used:  min = 0.141089, max = 1.55197
198*c4762a1bSJed Brown          eigenvalues estimate via gmres min 0.044097, max 1.41089
199*c4762a1bSJed Brown          eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
200*c4762a1bSJed Brown          KSP Object: (mg_levels_4_esteig_) 4 MPI processes
201*c4762a1bSJed Brown            type: gmres
202*c4762a1bSJed Brown              restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
203*c4762a1bSJed Brown              happy breakdown tolerance 1e-30
204*c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
205*c4762a1bSJed Brown            tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
206*c4762a1bSJed Brown            left preconditioning
207*c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
208*c4762a1bSJed Brown          estimating eigenvalues using noisy right hand side
209*c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
210*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
211*c4762a1bSJed Brown        left preconditioning
212*c4762a1bSJed Brown        using NONE norm type for convergence test
213*c4762a1bSJed Brown      PC Object: (mg_levels_4_) 4 MPI processes
214*c4762a1bSJed Brown        type: sor
215*c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
216*c4762a1bSJed Brown        linear system matrix = precond matrix:
217*c4762a1bSJed Brown        Mat Object: 4 MPI processes
218*c4762a1bSJed Brown          type: mpiaij
219*c4762a1bSJed Brown          rows=9604, cols=9604, bs=4
220*c4762a1bSJed Brown          total: nonzeros=188944, allocated nonzeros=188944
221*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
222*c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
223*c4762a1bSJed Brown    Down solver (pre-smoother) on level 5 -------------------------------
224*c4762a1bSJed Brown      KSP Object: (mg_levels_5_) 4 MPI processes
225*c4762a1bSJed Brown        type: chebyshev
226*c4762a1bSJed Brown          eigenvalue estimates used:  min = 0.127956, max = 1.40751
227*c4762a1bSJed Brown          eigenvalues estimate via gmres min 0.0380398, max 1.27956
228*c4762a1bSJed Brown          eigenvalues estimated using gmres with translations  [0. 0.1; 0. 1.1]
229*c4762a1bSJed Brown          KSP Object: (mg_levels_5_esteig_) 4 MPI processes
230*c4762a1bSJed Brown            type: gmres
231*c4762a1bSJed Brown              restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
232*c4762a1bSJed Brown              happy breakdown tolerance 1e-30
233*c4762a1bSJed Brown            maximum iterations=10, initial guess is zero
234*c4762a1bSJed Brown            tolerances:  relative=1e-12, absolute=1e-50, divergence=10000.
235*c4762a1bSJed Brown            left preconditioning
236*c4762a1bSJed Brown            using PRECONDITIONED norm type for convergence test
237*c4762a1bSJed Brown          estimating eigenvalues using noisy right hand side
238*c4762a1bSJed Brown        maximum iterations=2, nonzero initial guess
239*c4762a1bSJed Brown        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
240*c4762a1bSJed Brown        left preconditioning
241*c4762a1bSJed Brown        using NONE norm type for convergence test
242*c4762a1bSJed Brown      PC Object: (mg_levels_5_) 4 MPI processes
243*c4762a1bSJed Brown        type: sor
244*c4762a1bSJed Brown          type = local_symmetric, iterations = 1, local iterations = 1, omega = 1.
245*c4762a1bSJed Brown        linear system matrix = precond matrix:
246*c4762a1bSJed Brown        Mat Object: 4 MPI processes
247*c4762a1bSJed Brown          type: mpiaij
248*c4762a1bSJed Brown          rows=37636, cols=37636, bs=4
249*c4762a1bSJed Brown          total: nonzeros=746512, allocated nonzeros=746512
250*c4762a1bSJed Brown          total number of mallocs used during MatSetValues calls=0
251*c4762a1bSJed Brown    Up solver (post-smoother) same as down solver (pre-smoother)
252*c4762a1bSJed Brown    linear system matrix = precond matrix:
253*c4762a1bSJed Brown    Mat Object: 4 MPI processes
254*c4762a1bSJed Brown      type: mpiaij
255*c4762a1bSJed Brown      rows=37636, cols=37636, bs=4
256*c4762a1bSJed Brown      total: nonzeros=746512, allocated nonzeros=746512
257*c4762a1bSJed Brown      total number of mallocs used during MatSetValues calls=0
258*c4762a1bSJed BrownNumber of SNES iterations = 3
259