xref: /petsc/src/ts/tutorials/output/ex3_pod_guess.out (revision 70646cd191a02c3aba559ba717dac5da7a8a1e20) 
1Solving a linear TS problem on 1 processor
2Timestep   0: step size = 0.0005, time = 0., 2-norm error = 0., max norm error = 0.
3    Linear solve converged due to CONVERGED_RTOL iterations 2
4Timestep   1: step size = 0.0005, time = 0.0005, 2-norm error = 0.00920347, max norm error = 0.0133108
5    Linear solve converged due to CONVERGED_RTOL iterations 2
6Timestep   2: step size = 0.0005, time = 0.001, 2-norm error = 0.0155367, max norm error = 0.0225476
7    Linear solve converged due to CONVERGED_RTOL iterations 0
8Timestep   3: step size = 0.0005, time = 0.0015, 2-norm error = 0.0196742, max norm error = 0.0286633
9    Linear solve converged due to CONVERGED_RTOL iterations 0
10Timestep   4: step size = 0.0005, time = 0.002, 2-norm error = 0.0221499, max norm error = 0.0324123
11    Linear solve converged due to CONVERGED_RTOL iterations 0
12Timestep   5: step size = 0.0005, time = 0.0025, 2-norm error = 0.0233849, max norm error = 0.034389
13    Linear solve converged due to CONVERGED_RTOL iterations 0
14Timestep   6: step size = 0.0005, time = 0.003, 2-norm error = 0.0237097, max norm error = 0.0350595
15    Linear solve converged due to CONVERGED_RTOL iterations 0
16Timestep   7: step size = 0.0005, time = 0.0035, 2-norm error = 0.0233823, max norm error = 0.0347873
17    Linear solve converged due to CONVERGED_RTOL iterations 0
18Timestep   8: step size = 0.0005, time = 0.004, 2-norm error = 0.0226031, max norm error = 0.033854
19    Linear solve converged due to CONVERGED_RTOL iterations 0
20Timestep   9: step size = 0.0005, time = 0.0045, 2-norm error = 0.0215263, max norm error = 0.0324759
21    Linear solve converged due to CONVERGED_RTOL iterations 0
22Timestep  10: step size = 0.0005, time = 0.005, 2-norm error = 0.0202701, max norm error = 0.0308177
23    Linear solve converged due to CONVERGED_RTOL iterations 0
24Timestep  11: step size = 0.0005, time = 0.0055, 2-norm error = 0.0189239, max norm error = 0.0290034
25    Linear solve converged due to CONVERGED_RTOL iterations 0
26Timestep  12: step size = 0.0005, time = 0.006, 2-norm error = 0.0175547, max norm error = 0.0271249
27    Linear solve converged due to CONVERGED_RTOL iterations 0
28Timestep  13: step size = 0.0005, time = 0.0065, 2-norm error = 0.0162119, max norm error = 0.0252488
29    Linear solve converged due to CONVERGED_RTOL iterations 0
30Timestep  14: step size = 0.0005, time = 0.007, 2-norm error = 0.0149315, max norm error = 0.0234227
31    Linear solve converged due to CONVERGED_RTOL iterations 0
32Timestep  15: step size = 0.0005, time = 0.0075, 2-norm error = 0.0137386, max norm error = 0.0216904
33    Linear solve converged due to CONVERGED_RTOL iterations 0
34Timestep  16: step size = 0.0005, time = 0.008, 2-norm error = 0.0126503, max norm error = 0.0200949
35    Linear solve converged due to CONVERGED_RTOL iterations 0
36Timestep  17: step size = 0.0005, time = 0.0085, 2-norm error = 0.0116769, max norm error = 0.0186119
37    Linear solve converged due to CONVERGED_RTOL iterations 0
38Timestep  18: step size = 0.0005, time = 0.009, 2-norm error = 0.0108238, max norm error = 0.0172473
39    Linear solve converged due to CONVERGED_RTOL iterations 0
40Timestep  19: step size = 0.0005, time = 0.0095, 2-norm error = 0.0100915, max norm error = 0.016002
41    Linear solve converged due to CONVERGED_RTOL iterations 0
42Timestep  20: step size = 0.0005, time = 0.01, 2-norm error = 0.00947709, max norm error = 0.0148737
43    Linear solve converged due to CONVERGED_RTOL iterations 0
44Timestep  21: step size = 0.0005, time = 0.0105, 2-norm error = 0.00897433, max norm error = 0.0138579
45    Linear solve converged due to CONVERGED_RTOL iterations 0
46Timestep  22: step size = 0.0005, time = 0.011, 2-norm error = 0.00857434, max norm error = 0.0130013
47    Linear solve converged due to CONVERGED_RTOL iterations 0
48Timestep  23: step size = 0.0005, time = 0.0115, 2-norm error = 0.00826626, max norm error = 0.0122408
49    Linear solve converged due to CONVERGED_RTOL iterations 0
50Timestep  24: step size = 0.0005, time = 0.012, 2-norm error = 0.00803807, max norm error = 0.0115672
51    Linear solve converged due to CONVERGED_RTOL iterations 0
52Timestep  25: step size = 0.0005, time = 0.0125, 2-norm error = 0.00787736, max norm error = 0.0110129
53    Linear solve converged due to CONVERGED_RTOL iterations 0
54Timestep  26: step size = 0.0005, time = 0.013, 2-norm error = 0.00777212, max norm error = 0.0105437
55    Linear solve converged due to CONVERGED_RTOL iterations 0
56Timestep  27: step size = 0.0005, time = 0.0135, 2-norm error = 0.00771124, max norm error = 0.0101605
57    Linear solve converged due to CONVERGED_RTOL iterations 0
58Timestep  28: step size = 0.0005, time = 0.014, 2-norm error = 0.0076849, max norm error = 0.00985791
59    Linear solve converged due to CONVERGED_RTOL iterations 0
60Timestep  29: step size = 0.0005, time = 0.0145, 2-norm error = 0.00768474, max norm error = 0.00963958
61    Linear solve converged due to CONVERGED_RTOL iterations 0
62Timestep  30: step size = 0.0005, time = 0.015, 2-norm error = 0.00770382, max norm error = 0.0094884
63    Linear solve converged due to CONVERGED_RTOL iterations 0
64Timestep  31: step size = 0.0005, time = 0.0155, 2-norm error = 0.00773653, max norm error = 0.00940753
65    Linear solve converged due to CONVERGED_RTOL iterations 0
66Timestep  32: step size = 0.0005, time = 0.016, 2-norm error = 0.00777841, max norm error = 0.00939517
67    Linear solve converged due to CONVERGED_RTOL iterations 0
68Timestep  33: step size = 0.0005, time = 0.0165, 2-norm error = 0.00782602, max norm error = 0.00944572
69    Linear solve converged due to CONVERGED_RTOL iterations 0
70Timestep  34: step size = 0.0005, time = 0.017, 2-norm error = 0.00787669, max norm error = 0.00956201
71    Linear solve converged due to CONVERGED_RTOL iterations 0
72Timestep  35: step size = 0.0005, time = 0.0175, 2-norm error = 0.0079284, max norm error = 0.00973858
73    Linear solve converged due to CONVERGED_RTOL iterations 0
74Timestep  36: step size = 0.0005, time = 0.018, 2-norm error = 0.00797966, max norm error = 0.00997931
75    Linear solve converged due to CONVERGED_RTOL iterations 0
76Timestep  37: step size = 0.0005, time = 0.0185, 2-norm error = 0.00802935, max norm error = 0.0102298
77    Linear solve converged due to CONVERGED_RTOL iterations 0
78Timestep  38: step size = 0.0005, time = 0.019, 2-norm error = 0.00807668, max norm error = 0.0104518
79    Linear solve converged due to CONVERGED_RTOL iterations 0
80Timestep  39: step size = 0.0005, time = 0.0195, 2-norm error = 0.00812107, max norm error = 0.0106481
81    Linear solve converged due to CONVERGED_RTOL iterations 0
82Timestep  40: step size = 0.0005, time = 0.02, 2-norm error = 0.00816215, max norm error = 0.0108211
83    Linear solve converged due to CONVERGED_RTOL iterations 0
84Timestep  41: step size = 0.0005, time = 0.0205, 2-norm error = 0.00819966, max norm error = 0.0109733
85    Linear solve converged due to CONVERGED_RTOL iterations 0
86Timestep  42: step size = 0.0005, time = 0.021, 2-norm error = 0.00823345, max norm error = 0.0111064
87    Linear solve converged due to CONVERGED_RTOL iterations 0
88Timestep  43: step size = 0.0005, time = 0.0215, 2-norm error = 0.00826344, max norm error = 0.0112225
89    Linear solve converged due to CONVERGED_RTOL iterations 0
90Timestep  44: step size = 0.0005, time = 0.022, 2-norm error = 0.00828961, max norm error = 0.011323
91    Linear solve converged due to CONVERGED_RTOL iterations 0
92Timestep  45: step size = 0.0005, time = 0.0225, 2-norm error = 0.00831198, max norm error = 0.0114095
93    Linear solve converged due to CONVERGED_RTOL iterations 0
94Timestep  46: step size = 0.0005, time = 0.023, 2-norm error = 0.00833061, max norm error = 0.0114831
95    Linear solve converged due to CONVERGED_RTOL iterations 0
96Timestep  47: step size = 0.0005, time = 0.0235, 2-norm error = 0.00834557, max norm error = 0.011545
97    Linear solve converged due to CONVERGED_RTOL iterations 0
98Timestep  48: step size = 0.0005, time = 0.024, 2-norm error = 0.00835693, max norm error = 0.0115962
99    Linear solve converged due to CONVERGED_RTOL iterations 0
100Timestep  49: step size = 0.0005, time = 0.0245, 2-norm error = 0.00836481, max norm error = 0.0116376
101    Linear solve converged due to CONVERGED_RTOL iterations 0
102Timestep  50: step size = 0.0005, time = 0.025, 2-norm error = 0.0083693, max norm error = 0.0116701
103    Linear solve converged due to CONVERGED_RTOL iterations 0
104Timestep  51: step size = 0.0005, time = 0.0255, 2-norm error = 0.00837051, max norm error = 0.0116944
105    Linear solve converged due to CONVERGED_RTOL iterations 0
106Timestep  52: step size = 0.0005, time = 0.026, 2-norm error = 0.00836856, max norm error = 0.011711
107    Linear solve converged due to CONVERGED_RTOL iterations 0
108Timestep  53: step size = 0.0005, time = 0.0265, 2-norm error = 0.00836355, max norm error = 0.0117207
109    Linear solve converged due to CONVERGED_RTOL iterations 0
110Timestep  54: step size = 0.0005, time = 0.027, 2-norm error = 0.0083556, max norm error = 0.0117239
111    Linear solve converged due to CONVERGED_RTOL iterations 0
112Timestep  55: step size = 0.0005, time = 0.0275, 2-norm error = 0.00834481, max norm error = 0.011721
113    Linear solve converged due to CONVERGED_RTOL iterations 0
114Timestep  56: step size = 0.0005, time = 0.028, 2-norm error = 0.0083313, max norm error = 0.0117126
115    Linear solve converged due to CONVERGED_RTOL iterations 0
116Timestep  57: step size = 0.0005, time = 0.0285, 2-norm error = 0.00831517, max norm error = 0.011699
117    Linear solve converged due to CONVERGED_RTOL iterations 0
118Timestep  58: step size = 0.0005, time = 0.029, 2-norm error = 0.00829652, max norm error = 0.0116806
119    Linear solve converged due to CONVERGED_RTOL iterations 0
120Timestep  59: step size = 0.0005, time = 0.0295, 2-norm error = 0.00827546, max norm error = 0.0116576
121    Linear solve converged due to CONVERGED_RTOL iterations 0
122Timestep  60: step size = 0.0005, time = 0.03, 2-norm error = 0.00825209, max norm error = 0.0116304
123    Linear solve converged due to CONVERGED_RTOL iterations 0
124Timestep  61: step size = 0.0005, time = 0.0305, 2-norm error = 0.0082265, max norm error = 0.0115993
125    Linear solve converged due to CONVERGED_RTOL iterations 0
126Timestep  62: step size = 0.0005, time = 0.031, 2-norm error = 0.00819879, max norm error = 0.0115645
127    Linear solve converged due to CONVERGED_RTOL iterations 0
128Timestep  63: step size = 0.0005, time = 0.0315, 2-norm error = 0.00816905, max norm error = 0.0115261
129    Linear solve converged due to CONVERGED_RTOL iterations 0
130Timestep  64: step size = 0.0005, time = 0.032, 2-norm error = 0.00813737, max norm error = 0.0114846
131    Linear solve converged due to CONVERGED_RTOL iterations 0
132Timestep  65: step size = 0.0005, time = 0.0325, 2-norm error = 0.00810384, max norm error = 0.0114399
133    Linear solve converged due to CONVERGED_RTOL iterations 0
134Timestep  66: step size = 0.0005, time = 0.033, 2-norm error = 0.00806853, max norm error = 0.0113923
135    Linear solve converged due to CONVERGED_RTOL iterations 0
136Timestep  67: step size = 0.0005, time = 0.0335, 2-norm error = 0.00803153, max norm error = 0.0113421
137    Linear solve converged due to CONVERGED_RTOL iterations 0
138Timestep  68: step size = 0.0005, time = 0.034, 2-norm error = 0.00799292, max norm error = 0.0112892
139    Linear solve converged due to CONVERGED_RTOL iterations 0
140Timestep  69: step size = 0.0005, time = 0.0345, 2-norm error = 0.00795278, max norm error = 0.011234
141    Linear solve converged due to CONVERGED_RTOL iterations 0
142Timestep  70: step size = 0.0005, time = 0.035, 2-norm error = 0.00791117, max norm error = 0.0111764
143    Linear solve converged due to CONVERGED_RTOL iterations 0
144Timestep  71: step size = 0.0005, time = 0.0355, 2-norm error = 0.00786818, max norm error = 0.0111168
145    Linear solve converged due to CONVERGED_RTOL iterations 0
146Timestep  72: step size = 0.0005, time = 0.036, 2-norm error = 0.00782387, max norm error = 0.0110551
147    Linear solve converged due to CONVERGED_RTOL iterations 0
148Timestep  73: step size = 0.0005, time = 0.0365, 2-norm error = 0.00777831, max norm error = 0.0109915
149    Linear solve converged due to CONVERGED_RTOL iterations 0
150Timestep  74: step size = 0.0005, time = 0.037, 2-norm error = 0.00773157, max norm error = 0.0109261
151    Linear solve converged due to CONVERGED_RTOL iterations 0
152Timestep  75: step size = 0.0005, time = 0.0375, 2-norm error = 0.0076837, max norm error = 0.010859
153    Linear solve converged due to CONVERGED_RTOL iterations 0
154Timestep  76: step size = 0.0005, time = 0.038, 2-norm error = 0.00763477, max norm error = 0.0107903
155    Linear solve converged due to CONVERGED_RTOL iterations 0
156Timestep  77: step size = 0.0005, time = 0.0385, 2-norm error = 0.00758483, max norm error = 0.0107202
157    Linear solve converged due to CONVERGED_RTOL iterations 0
158Timestep  78: step size = 0.0005, time = 0.039, 2-norm error = 0.00753396, max norm error = 0.0106486
159    Linear solve converged due to CONVERGED_RTOL iterations 0
160Timestep  79: step size = 0.0005, time = 0.0395, 2-norm error = 0.00748219, max norm error = 0.0105758
161    Linear solve converged due to CONVERGED_RTOL iterations 0
162Timestep  80: step size = 0.0005, time = 0.04, 2-norm error = 0.00742959, max norm error = 0.0105017
163    Linear solve converged due to CONVERGED_RTOL iterations 0
164Timestep  81: step size = 0.0005, time = 0.0405, 2-norm error = 0.00737621, max norm error = 0.0104264
165    Linear solve converged due to CONVERGED_RTOL iterations 0
166Timestep  82: step size = 0.0005, time = 0.041, 2-norm error = 0.00732209, max norm error = 0.0103501
167    Linear solve converged due to CONVERGED_RTOL iterations 0
168Timestep  83: step size = 0.0005, time = 0.0415, 2-norm error = 0.00726729, max norm error = 0.0102728
169    Linear solve converged due to CONVERGED_RTOL iterations 0
170Timestep  84: step size = 0.0005, time = 0.042, 2-norm error = 0.00721186, max norm error = 0.0101946
171    Linear solve converged due to CONVERGED_RTOL iterations 0
172Timestep  85: step size = 0.0005, time = 0.0425, 2-norm error = 0.00715583, max norm error = 0.0101155
173    Linear solve converged due to CONVERGED_RTOL iterations 0
174Timestep  86: step size = 0.0005, time = 0.043, 2-norm error = 0.00709926, max norm error = 0.0100357
175    Linear solve converged due to CONVERGED_RTOL iterations 0
176Timestep  87: step size = 0.0005, time = 0.0435, 2-norm error = 0.00704218, max norm error = 0.00995507
177    Linear solve converged due to CONVERGED_RTOL iterations 0
178Timestep  88: step size = 0.0005, time = 0.044, 2-norm error = 0.00698463, max norm error = 0.00987379
179    Linear solve converged due to CONVERGED_RTOL iterations 0
180Timestep  89: step size = 0.0005, time = 0.0445, 2-norm error = 0.00692666, max norm error = 0.00979191
181    Linear solve converged due to CONVERGED_RTOL iterations 0
182Timestep  90: step size = 0.0005, time = 0.045, 2-norm error = 0.00686831, max norm error = 0.00970947
183    Linear solve converged due to CONVERGED_RTOL iterations 0
184Timestep  91: step size = 0.0005, time = 0.0455, 2-norm error = 0.00680961, max norm error = 0.00962653
185    Linear solve converged due to CONVERGED_RTOL iterations 0
186Timestep  92: step size = 0.0005, time = 0.046, 2-norm error = 0.00675059, max norm error = 0.00954314
187    Linear solve converged due to CONVERGED_RTOL iterations 0
188Timestep  93: step size = 0.0005, time = 0.0465, 2-norm error = 0.00669129, max norm error = 0.00945935
189    Linear solve converged due to CONVERGED_RTOL iterations 0
190Timestep  94: step size = 0.0005, time = 0.047, 2-norm error = 0.00663175, max norm error = 0.00937521
191    Linear solve converged due to CONVERGED_RTOL iterations 0
192Timestep  95: step size = 0.0005, time = 0.0475, 2-norm error = 0.00657199, max norm error = 0.00929075
193    Linear solve converged due to CONVERGED_RTOL iterations 0
194Timestep  96: step size = 0.0005, time = 0.048, 2-norm error = 0.00651205, max norm error = 0.00920604
195    Linear solve converged due to CONVERGED_RTOL iterations 0
196Timestep  97: step size = 0.0005, time = 0.0485, 2-norm error = 0.00645196, max norm error = 0.00912111
197    Linear solve converged due to CONVERGED_RTOL iterations 0
198Timestep  98: step size = 0.0005, time = 0.049, 2-norm error = 0.00639174, max norm error = 0.00903599
199    Linear solve converged due to CONVERGED_RTOL iterations 0
200Timestep  99: step size = 0.0005, time = 0.0495, 2-norm error = 0.00633143, max norm error = 0.00895074
201    Linear solve converged due to CONVERGED_RTOL iterations 0
202Timestep 100: step size = 0.0005, time = 0.05, 2-norm error = 0.00627104, max norm error = 0.00886538
203avg. error (2 norm) = 0.00957673, avg. error (max norm) = 0.0136904
204TS Object: 1 MPI process
205  type: beuler
206  initial time step=0.0005
207  maximum steps=100
208  maximum time=100.
209  maximum number of step rejections=10
210  maximum number of SNES failures allowed=1
211  total number of I function evaluations=100
212  total number of I Jacobian evaluations=100
213  total number of linear solver iterations=4
214  total number of linear solve failures=0
215  total number of rejected steps=0
216  using relative error tolerance of 0.0001,   using absolute error tolerance of 0.0001
217  TSAdapt Object: 1 MPI process
218    type: none
219  SNES Object: 1 MPI process
220    type: ksponly
221    maximum iterations=50, maximum function evaluations=10000
222    tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
223    total number of linear solver iterations=0
224    total number of function evaluations=1
225    norm schedule ALWAYS
226    KSP Object: 1 MPI process
227      type: gmres
228        restart=30, using classical (unmodified) Gram-Schmidt orthogonalization with no iterative refinement
229        happy breakdown tolerance=1e-30
230      maximum iterations=10000, nonzero initial guess
231      tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
232      left preconditioning
233      KSPGuess Object: 1 MPI process
234        type: pod
235        Max size 10, tolerance 2.22045e-16, Ainner 0
236      using PRECONDITIONED norm type for convergence test
237    PC Object: 1 MPI process
238      type: none
239      linear system matrix, which is also used to construct the preconditioner:
240      Mat Object: 1 MPI process
241        type: seqaij
242        rows=60, cols=60
243        total: nonzeros=176, allocated nonzeros=176
244        total number of mallocs used during MatSetValues calls=0
245          not using I-node routines
246