-<a name="Results"></a>
<h1>Results</h1>
+Running the program (with a ball as obstacle) produces output like this:
+@code
+Cycle 0:
+ Number of active cells: 218
+ Total number of cells: 249
+ Number of degrees of freedom: 2187
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 173.076 -> 0.157131 in 8 FGMRES iterations.
+ Number of elastic quadrature points: 4096 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.157131
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 57.3852 -> 0.0426777 in 9 FGMRES iterations.
+ Number of elastic quadrature points: 3944 and plastic quadrature points: 152
+ Residual of the non-contact part of the system: 24.9209
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 24.9209 -> 0.0157852 in 8 FGMRES iterations.
+ Number of elastic quadrature points: 3960 and plastic quadrature points: 136
+ Residual of the non-contact part of the system: 1.63601
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 1.63601 -> 0.00131281 in 8 FGMRES iterations.
+ Number of elastic quadrature points: 3960 and plastic quadrature points: 136
+ Residual of the non-contact part of the system: 0.00479668
+ with a damping parameter alpha = 1
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 0.00479668 -> 2.27976e-06 in 9 FGMRES iterations.
+ Number of elastic quadrature points: 3960 and plastic quadrature points: 136
+ Residual of the non-contact part of the system: 2.29051e-06
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 1
+ Assembling system...
+ Solving system...
+ Error: 2.29051e-06 -> 1.31066e-09 in 9 FGMRES iterations.
+ Number of elastic quadrature points: 3960 and plastic quadrature points: 136
+ Residual of the non-contact part of the system: 1.31066e-09
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 6
+ Number of Solver-Iterations = 51
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 0.736s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 6 | 0.0779s | 11% |
+| Graphical output | 1 | 0.219s | 30% |
+| Mesh refinement and setup system| 1 | 0.0274s | 3.7% |
+| Preconditioning | 6 | 0.147s | 20% |
+| Residual and lambda | 6 | 0.0167s | 2.3% |
+| Solving | 6 | 0.0365s | 5% |
+| Solving and Preconditioning | 6 | 0.197s | 27% |
+| Update solution and constraints | 6 | 0.0154s | 2.1% |
++---------------------------------+-----------+------------+------------+
+
+
+Cycle 1:
+ Number of active cells: 463
+ Total number of cells: 529
+ Number of degrees of freedom: 6294
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 254.373 -> 0.190863 in 9 FGMRES iterations.
+ Number of elastic quadrature points: 12384 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.190863
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 43.8161 -> 0.0315499 in 12 FGMRES iterations.
+ Number of elastic quadrature points: 11092 and plastic quadrature points: 1292
+ Residual of the non-contact part of the system: 24.5462
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 24.5462 -> 0.0222984 in 11 FGMRES iterations.
+ Number of elastic quadrature points: 11152 and plastic quadrature points: 1232
+ Residual of the non-contact part of the system: 5.47753
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 5.47753 -> 0.00277991 in 11 FGMRES iterations.
+ Number of elastic quadrature points: 11160 and plastic quadrature points: 1224
+ Residual of the non-contact part of the system: 1.21575
+ with a damping parameter alpha = 1
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 1.21575 -> 0.00104015 in 9 FGMRES iterations.
+ Number of elastic quadrature points: 11144 and plastic quadrature points: 1240
+ Residual of the non-contact part of the system: 0.0594461
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 0.0594461 -> 2.73182e-05 in 10 FGMRES iterations.
+ Number of elastic quadrature points: 11144 and plastic quadrature points: 1240
+ Residual of the non-contact part of the system: 5.50309e-05
+ with a damping parameter alpha = 1
+
+ Newton iteration 6
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 5.50309e-05 -> 2.99676e-08 in 13 FGMRES iterations.
+ Number of elastic quadrature points: 11144 and plastic quadrature points: 1240
+ Residual of the non-contact part of the system: 2.99656e-08
+ with a damping parameter alpha = 1
+
+ Newton iteration 7
+ Updating active set...
+ Size of active set: 9
+ Assembling system...
+ Solving system...
+ Error: 2.99656e-08 -> 1.70821e-11 in 14 FGMRES iterations.
+ Number of elastic quadrature points: 11144 and plastic quadrature points: 1240
+ Residual of the non-contact part of the system: 1.70843e-11
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 8
+ Number of Solver-Iterations = 89
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 1.89s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 14 | 0.354s | 19% |
+| Graphical output | 2 | 0.394s | 21% |
+| Mesh refinement and setup system| 2 | 0.109s | 5.8% |
+| Preconditioning | 14 | 0.302s | 16% |
+| Residual and lambda | 14 | 0.0587s | 3.1% |
+| Solving | 14 | 0.142s | 7.6% |
+| Solving and Preconditioning | 14 | 0.48s | 25% |
+| Update solution and constraints | 14 | 0.0452s | 2.4% |
++---------------------------------+-----------+------------+------------+
+
+
+Cycle 2:
+ Number of active cells: 1170
+ Total number of cells: 1337
+ Number of degrees of freedom: 18207
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 284.124 -> 0.219038 in 12 FGMRES iterations.
+ Number of elastic quadrature points: 38144 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.219038
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 25
+ Assembling system...
+ Solving system...
+ Error: 29.3138 -> 0.0233274 in 18 FGMRES iterations.
+ Number of elastic quadrature points: 26802 and plastic quadrature points: 11342
+ Residual of the non-contact part of the system: 18.6169
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 40.4533 -> 0.0289656 in 17 FGMRES iterations.
+ Number of elastic quadrature points: 26314 and plastic quadrature points: 11830
+ Residual of the non-contact part of the system: 13.0957
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 13.0957 -> 0.00985332 in 18 FGMRES iterations.
+ Number of elastic quadrature points: 27074 and plastic quadrature points: 11070
+ Residual of the non-contact part of the system: 13.4255
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 30111 and plastic quadrature points: 8033
+ Residual of the non-contact part of the system: 4.53997
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 4.53997 -> 0.00288706 in 16 FGMRES iterations.
+ Number of elastic quadrature points: 29624 and plastic quadrature points: 8520
+ Residual of the non-contact part of the system: 0.376174
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 0.376174 -> 0.000319472 in 15 FGMRES iterations.
+ Number of elastic quadrature points: 29500 and plastic quadrature points: 8644
+ Residual of the non-contact part of the system: 0.0174717
+ with a damping parameter alpha = 1
+
+ Newton iteration 6
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 0.0174717 -> 1.41647e-05 in 17 FGMRES iterations.
+ Number of elastic quadrature points: 29512 and plastic quadrature points: 8632
+ Residual of the non-contact part of the system: 6.13152e-05
+ with a damping parameter alpha = 1
+
+ Newton iteration 7
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 6.13152e-05 -> 5.43905e-08 in 20 FGMRES iterations.
+ Number of elastic quadrature points: 29512 and plastic quadrature points: 8632
+ Residual of the non-contact part of the system: 5.4391e-08
+ with a damping parameter alpha = 1
+
+ Newton iteration 8
+ Updating active set...
+ Size of active set: 37
+ Assembling system...
+ Solving system...
+ Error: 5.4391e-08 -> 4.00879e-11 in 22 FGMRES iterations.
+ Number of elastic quadrature points: 29512 and plastic quadrature points: 8632
+ Residual of the non-contact part of the system: 4.0089e-11
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 9
+ Number of Solver-Iterations = 155
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 4.76s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 23 | 1.24s | 26% |
+| Graphical output | 3 | 0.61s | 13% |
+| Mesh refinement and setup system| 3 | 0.215s | 4.5% |
+| Preconditioning | 23 | 0.651s | 14% |
+| Residual and lambda | 24 | 0.19s | 4% |
+| Solving | 23 | 0.513s | 11% |
+| Solving and Preconditioning | 23 | 1.24s | 26% |
+| Update solution and constraints | 23 | 0.104s | 2.2% |
++---------------------------------+-----------+------------+------------+
+
+
+Cycle 3:
+ Number of active cells: 2955
+ Total number of cells: 3377
+ Number of degrees of freedom: 52497
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 296.309 -> 0.274641 in 16 FGMRES iterations.
+ Number of elastic quadrature points: 117216 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.274641
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 101
+ Assembling system...
+ Solving system...
+ Error: 16.3381 -> 0.0141064 in 28 FGMRES iterations.
+ Number of elastic quadrature points: 43467 and plastic quadrature points: 73749
+ Residual of the non-contact part of the system: 16.0978
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 169
+ Assembling system...
+ Solving system...
+ Error: 37.9212 -> 0.0359077 in 23 FGMRES iterations.
+ Number of elastic quadrature points: 49376 and plastic quadrature points: 67840
+ Residual of the non-contact part of the system: 13.2713
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 13.2966 -> 0.0122436 in 31 FGMRES iterations.
+ Number of elastic quadrature points: 39170 and plastic quadrature points: 78046
+ Residual of the non-contact part of the system: 15.8407
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 57541 and plastic quadrature points: 59675
+ Residual of the non-contact part of the system: 5.37003
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 153
+ Assembling system...
+ Solving system...
+ Error: 5.37242 -> 0.00503175 in 21 FGMRES iterations.
+ Number of elastic quadrature points: 53138 and plastic quadrature points: 64078
+ Residual of the non-contact part of the system: 1.91646
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 1.9277 -> 0.00180035 in 25 FGMRES iterations.
+ Number of elastic quadrature points: 52162 and plastic quadrature points: 65054
+ Residual of the non-contact part of the system: 1.12614
+ with a damping parameter alpha = 1
+
+ Newton iteration 6
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 1.12614 -> 0.000885797 in 19 FGMRES iterations.
+ Number of elastic quadrature points: 51667 and plastic quadrature points: 65549
+ Residual of the non-contact part of the system: 0.817432
+ with a damping parameter alpha = 1
+
+ Newton iteration 7
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 0.817432 -> 0.000802786 in 20 FGMRES iterations.
+ Number of elastic quadrature points: 51659 and plastic quadrature points: 65557
+ Residual of the non-contact part of the system: 0.557455
+ with a damping parameter alpha = 1
+
+ Newton iteration 8
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 0.557455 -> 0.000527895 in 18 FGMRES iterations.
+ Number of elastic quadrature points: 51572 and plastic quadrature points: 65644
+ Residual of the non-contact part of the system: 0.235355
+ with a damping parameter alpha = 1
+
+ Newton iteration 9
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 0.235355 -> 0.000197953 in 23 FGMRES iterations.
+ Number of elastic quadrature points: 51482 and plastic quadrature points: 65734
+ Residual of the non-contact part of the system: 0.0275413
+ with a damping parameter alpha = 1
+
+ Newton iteration 10
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 0.0275413 -> 2.37996e-05 in 25 FGMRES iterations.
+ Number of elastic quadrature points: 51464 and plastic quadrature points: 65752
+ Residual of the non-contact part of the system: 0.000526512
+ with a damping parameter alpha = 1
+
+ Newton iteration 11
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 0.000526512 -> 4.98197e-07 in 27 FGMRES iterations.
+ Number of elastic quadrature points: 51464 and plastic quadrature points: 65752
+ Residual of the non-contact part of the system: 5.35391e-07
+ with a damping parameter alpha = 1
+
+ Newton iteration 12
+ Updating active set...
+ Size of active set: 145
+ Assembling system...
+ Solving system...
+ Error: 5.35391e-07 -> 5.141e-10 in 45 FGMRES iterations.
+ Number of elastic quadrature points: 51464 and plastic quadrature points: 65752
+ Residual of the non-contact part of the system: 5.14106e-10
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 13
+ Number of Solver-Iterations = 321
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 18.6s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 36 | 5.02s | 27% |
+| Graphical output | 4 | 1.02s | 5.5% |
+| Mesh refinement and setup system| 4 | 0.453s | 2.4% |
+| Preconditioning | 36 | 1.94s | 10% |
+| Residual and lambda | 38 | 0.682s | 3.7% |
+| Solving | 36 | 3.57s | 19% |
+| Solving and Preconditioning | 36 | 5.68s | 30% |
+| Update solution and constraints | 36 | 0.254s | 1.4% |
++---------------------------------+-----------+------------+------------+
+
+
+Cycle 4:
+ Number of active cells: 7400
+ Total number of cells: 8457
+ Number of degrees of freedom: 154647
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 609
+ Assembling system...
+ Solving system...
+ Error: 299.883 -> 0.198142 in 22 FGMRES iterations.
+ Number of elastic quadrature points: 362944 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.198142
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 437
+ Assembling system...
+ Solving system...
+ Error: 10.4425 -> 0.00864082 in 54 FGMRES iterations.
+ Number of elastic quadrature points: 50243 and plastic quadrature points: 312701
+ Residual of the non-contact part of the system: 13.0573
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 629
+ Assembling system...
+ Solving system...
+ Error: 25.4296 -> 0.0250775 in 32 FGMRES iterations.
+ Number of elastic quadrature points: 52693 and plastic quadrature points: 310251
+ Residual of the non-contact part of the system: 4.31469
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 609
+ Assembling system...
+ Solving system...
+ Error: 4.42111 -> 0.0042128 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53842 and plastic quadrature points: 309102
+ Residual of the non-contact part of the system: 3.2446
+ with a damping parameter alpha = 1
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 593
+ Assembling system...
+ Solving system...
+ Error: 3.2476 -> 0.00316464 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53576 and plastic quadrature points: 309368
+ Residual of the non-contact part of the system: 2.71394
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 579
+ Assembling system...
+ Solving system...
+ Error: 2.71408 -> 0.00247937 in 27 FGMRES iterations.
+ Number of elastic quadrature points: 53936 and plastic quadrature points: 309008
+ Residual of the non-contact part of the system: 2.42929
+ with a damping parameter alpha = 1
+
+ Newton iteration 6
+ Updating active set...
+ Size of active set: 579
+ Assembling system...
+ Solving system...
+ Error: 2.42929 -> 0.00234882 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53201 and plastic quadrature points: 309743
+ Residual of the non-contact part of the system: 2.52783
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 54507 and plastic quadrature points: 308437
+ Residual of the non-contact part of the system: 1.22978
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 7
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 1.23087 -> 0.00117414 in 27 FGMRES iterations.
+ Number of elastic quadrature points: 53932 and plastic quadrature points: 309012
+ Residual of the non-contact part of the system: 0.913556
+ with a damping parameter alpha = 1
+
+ Newton iteration 8
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.913556 -> 0.000846686 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53676 and plastic quadrature points: 309268
+ Residual of the non-contact part of the system: 0.608655
+ with a damping parameter alpha = 1
+
+ Newton iteration 9
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.608915 -> 0.000590468 in 36 FGMRES iterations.
+ Number of elastic quadrature points: 53769 and plastic quadrature points: 309175
+ Residual of the non-contact part of the system: 0.572935
+ with a damping parameter alpha = 1
+
+ Newton iteration 10
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.574492 -> 0.000516963 in 41 FGMRES iterations.
+ Number of elastic quadrature points: 53419 and plastic quadrature points: 309525
+ Residual of the non-contact part of the system: 0.575742
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 53568 and plastic quadrature points: 309376
+ Residual of the non-contact part of the system: 0.351537
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 11
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.351691 -> 0.000350487 in 32 FGMRES iterations.
+ Number of elastic quadrature points: 53596 and plastic quadrature points: 309348
+ Residual of the non-contact part of the system: 0.498347
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 53574 and plastic quadrature points: 309370
+ Residual of the non-contact part of the system: 0.287064
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 12
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.287174 -> 0.000275609 in 32 FGMRES iterations.
+ Number of elastic quadrature points: 53675 and plastic quadrature points: 309269
+ Residual of the non-contact part of the system: 0.248843
+ with a damping parameter alpha = 1
+
+ Newton iteration 13
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.248843 -> 0.000232694 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53682 and plastic quadrature points: 309262
+ Residual of the non-contact part of the system: 0.341443
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 53686 and plastic quadrature points: 309258
+ Residual of the non-contact part of the system: 0.232367
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 14
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.232367 -> 0.000231641 in 35 FGMRES iterations.
+ Number of elastic quadrature points: 53691 and plastic quadrature points: 309253
+ Residual of the non-contact part of the system: 0.263644
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 53694 and plastic quadrature points: 309250
+ Residual of the non-contact part of the system: 0.185686
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 15
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.185686 -> 0.000171579 in 29 FGMRES iterations.
+ Number of elastic quadrature points: 53721 and plastic quadrature points: 309223
+ Residual of the non-contact part of the system: 0.273968
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 53726 and plastic quadrature points: 309218
+ Residual of the non-contact part of the system: 0.189887
+ with a damping parameter alpha = 0.5
+ Number of elastic quadrature points: 53713 and plastic quadrature points: 309231
+ Residual of the non-contact part of the system: 0.0832966
+ with a damping parameter alpha = 0.25
+
+ Newton iteration 16
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.0832966 -> 8.32624e-05 in 38 FGMRES iterations.
+ Number of elastic quadrature points: 53749 and plastic quadrature points: 309195
+ Residual of the non-contact part of the system: 0.0306643
+ with a damping parameter alpha = 1
+
+ Newton iteration 17
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.0306643 -> 3.01898e-05 in 38 FGMRES iterations.
+ Number of elastic quadrature points: 53766 and plastic quadrature points: 309178
+ Residual of the non-contact part of the system: 0.00261731
+ with a damping parameter alpha = 1
+
+ Newton iteration 18
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 0.00261731 -> 2.33193e-06 in 51 FGMRES iterations.
+ Number of elastic quadrature points: 53768 and plastic quadrature points: 309176
+ Residual of the non-contact part of the system: 4.64159e-05
+ with a damping parameter alpha = 1
+
+ Newton iteration 19
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 4.64159e-05 -> 4.62653e-08 in 62 FGMRES iterations.
+ Number of elastic quadrature points: 53768 and plastic quadrature points: 309176
+ Residual of the non-contact part of the system: 5.07264e-08
+ with a damping parameter alpha = 1
+
+ Newton iteration 20
+ Updating active set...
+ Size of active set: 585
+ Assembling system...
+ Solving system...
+ Error: 5.07264e-08 -> 4.59618e-11 in 111 FGMRES iterations.
+ Number of elastic quadrature points: 53768 and plastic quadrature points: 309176
+ Residual of the non-contact part of the system: 4.59615e-11
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 21
+ Number of Solver-Iterations = 812
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 131s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 57 | 23.5s | 18% |
+| Graphical output | 5 | 2.34s | 1.8% |
+| Mesh refinement and setup system| 5 | 1.07s | 0.82% |
+| Preconditioning | 57 | 8.46s | 6.5% |
+| Residual and lambda | 66 | 3.61s | 2.8% |
+| Solving | 57 | 41s | 31% |
+| Solving and Preconditioning | 57 | 50s | 38% |
+| Update solution and constraints | 57 | 0.736s | 0.56% |
++---------------------------------+-----------+------------+------------+
+
+
+Cycle 5:
+ Number of active cells: 19279
+ Total number of cells: 22033
+ Number of degrees of freedom: 461106
+
+ Newton iteration 0
+ Updating active set...
+ Size of active set: 2449
+ Assembling system...
+ Solving system...
+ Error: 300.845 -> 0.249318 in 28 FGMRES iterations.
+ Number of elastic quadrature points: 1122752 and plastic quadrature points: 0
+ Residual of the non-contact part of the system: 0.249318
+ with a damping parameter alpha = 1
+
+ Newton iteration 1
+ Updating active set...
+ Size of active set: 1863
+ Assembling system...
+ Solving system...
+ Error: 6.17714 -> 0.0061549 in 82 FGMRES iterations.
+ Number of elastic quadrature points: 53510 and plastic quadrature points: 1069242
+ Residual of the non-contact part of the system: 10.188
+ with a damping parameter alpha = 1
+
+ Newton iteration 2
+ Updating active set...
+ Size of active set: 2348
+ Assembling system...
+ Solving system...
+ Error: 15.5579 -> 0.0151548 in 41 FGMRES iterations.
+ Number of elastic quadrature points: 54822 and plastic quadrature points: 1067930
+ Residual of the non-contact part of the system: 1.5258
+ with a damping parameter alpha = 1
+
+ Newton iteration 3
+ Updating active set...
+ Size of active set: 2485
+ Assembling system...
+ Solving system...
+ Error: 3.2747 -> 0.00308114 in 55 FGMRES iterations.
+ Number of elastic quadrature points: 61107 and plastic quadrature points: 1061645
+ Residual of the non-contact part of the system: 0.816662
+ with a damping parameter alpha = 1
+
+ Newton iteration 4
+ Updating active set...
+ Size of active set: 2294
+ Assembling system...
+ Solving system...
+ Error: 0.846485 -> 0.000840713 in 105 FGMRES iterations.
+ Number of elastic quadrature points: 54660 and plastic quadrature points: 1068092
+ Residual of the non-contact part of the system: 0.651754
+ with a damping parameter alpha = 1
+
+ Newton iteration 5
+ Updating active set...
+ Size of active set: 2375
+ Assembling system...
+ Solving system...
+ Error: 1.07345 -> 0.0010383 in 95 FGMRES iterations.
+ Number of elastic quadrature points: 59982 and plastic quadrature points: 1062770
+ Residual of the non-contact part of the system: 0.81415
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 57363 and plastic quadrature points: 1065389
+ Residual of the non-contact part of the system: 0.432614
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 6
+ Updating active set...
+ Size of active set: 2294
+ Assembling system...
+ Solving system...
+ Error: 0.600941 -> 0.000577431 in 51 FGMRES iterations.
+ Number of elastic quadrature points: 56754 and plastic quadrature points: 1065998
+ Residual of the non-contact part of the system: 0.434547
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 57005 and plastic quadrature points: 1065747
+ Residual of the non-contact part of the system: 0.209227
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 7
+ Updating active set...
+ Size of active set: 2327
+ Assembling system...
+ Solving system...
+ Error: 0.299306 -> 0.00029369 in 66 FGMRES iterations.
+ Number of elastic quadrature points: 56775 and plastic quadrature points: 1065977
+ Residual of the non-contact part of the system: 0.0890688
+ with a damping parameter alpha = 1
+
+ Newton iteration 8
+ Updating active set...
+ Size of active set: 2317
+ Assembling system...
+ Solving system...
+ Error: 0.113493 -> 0.000112941 in 65 FGMRES iterations.
+ Number of elastic quadrature points: 56792 and plastic quadrature points: 1065960
+ Residual of the non-contact part of the system: 0.0846807
+ with a damping parameter alpha = 1
+
+ Newton iteration 9
+ Updating active set...
+ Size of active set: 2311
+ Assembling system...
+ Solving system...
+ Error: 0.0847051 -> 8.37451e-05 in 38 FGMRES iterations.
+ Number of elastic quadrature points: 56797 and plastic quadrature points: 1065955
+ Residual of the non-contact part of the system: 0.0892047
+ with a damping parameter alpha = 1
+ Number of elastic quadrature points: 56793 and plastic quadrature points: 1065959
+ Residual of the non-contact part of the system: 0.0226437
+ with a damping parameter alpha = 0.5
+
+ Newton iteration 10
+ Updating active set...
+ Size of active set: 2313
+ Assembling system...
+ Solving system...
+ Error: 0.0240356 -> 2.37508e-05 in 72 FGMRES iterations.
+ Number of elastic quadrature points: 56816 and plastic quadrature points: 1065936
+ Residual of the non-contact part of the system: 0.00540846
+ with a damping parameter alpha = 1
+
+ Newton iteration 11
+ Updating active set...
+ Size of active set: 2313
+ Assembling system...
+ Solving system...
+ Error: 0.00540846 -> 5.39193e-06 in 62 FGMRES iterations.
+ Number of elastic quadrature points: 56828 and plastic quadrature points: 1065924
+ Residual of the non-contact part of the system: 0.000268289
+ with a damping parameter alpha = 1
+
+ Newton iteration 12
+ Updating active set...
+ Size of active set: 2313
+ Assembling system...
+ Solving system...
+ Error: 0.000268289 -> 2.64338e-07 in 83 FGMRES iterations.
+ Number of elastic quadrature points: 56828 and plastic quadrature points: 1065924
+ Residual of the non-contact part of the system: 8.91195e-07
+ with a damping parameter alpha = 1
+
+ Newton iteration 13
+ Updating active set...
+ Size of active set: 2313
+ Assembling system...
+ Solving system...
+ Error: 8.91195e-07 -> 8.85869e-10 in 255 FGMRES iterations.
+ Number of elastic quadrature points: 56828 and plastic quadrature points: 1065924
+ Residual of the non-contact part of the system: 8.86261e-10
+ with a damping parameter alpha = 1
+
+ Number of assembled systems = 14
+ Number of Solver-Iterations = 1098
+ Writing graphical output...
+
+
++---------------------------------------------+------------+------------+
+| Total wallclock time elapsed since start | 465s | |
+| | | |
+| Section | no. calls | wall time | % of total |
++---------------------------------+-----------+------------+------------+
+| Assembling | 71 | 61.6s | 13% |
+| Graphical output | 6 | 10.5s | 2.2% |
+| Mesh refinement and setup system| 6 | 2.71s | 0.58% |
+| Preconditioning | 71 | 19.9s | 4.3% |
+| Residual and lambda | 83 | 8.97s | 1.9% |
+| Solving | 71 | 170s | 36% |
+| Solving and Preconditioning | 71 | 191s | 41% |
+| Update solution and constraints | 71 | 1.46s | 0.31% |
++---------------------------------+-----------+------------+------------+
+@endcode
+
+For each adaptive refinement cycle the iterations end if the active set and
+the residual for the non-linear problem don't change anymore. In the tables
+at the end of each cycle you find informations about computing time and the
+number of calls of different parts of the program like Assembling or calculating
+the residuals. After the last cycle there are 83 calls for the residual function.
+12 calls as the Solving or Assembling what means that 12 damping steps were
+necessary summed up over the cycles.
+
projects / dealii-svn.git / commitdiff