View source for Controlled Heating (Casadi/FEniCS) - Solution Data

The following is a tabular version of the solution data generated by the code at [[Controlled Heating (FEniCS/Casadi)]]

<pre>
#       x         y         u         f         e
 0.980785   0.19509  0.756845   9.99192  0.243155
  0.92388  0.382683  0.756886   9.99302  0.243114
  0.83147   0.55557  0.756711   9.98685  0.243289
 0.707107  0.707107  0.756764   9.98888  0.243236
  0.55557   0.83147  0.756912   9.99096  0.243088
 0.382683   0.92388  0.756901   9.99209  0.243099
  0.19509  0.980785  0.756927    9.9924  0.243073
6.12323e-17         1  0.756793   9.98999  0.243207
 -0.19509  0.980785  0.756857   9.99214  0.243143
-0.382683   0.92388  0.756898   9.99211  0.243102
 -0.55557   0.83147  0.756778   9.98712  0.243222
-0.707107  0.707107  0.756965   9.99269  0.243035
 -0.83147   0.55557  0.756855   9.99179  0.243145
 -0.92388  0.382683  0.756841   9.99211  0.243159
-0.980785   0.19509  0.756848   9.99273  0.243152
       -1 1.22465e-16   0.75689   9.99254   0.24311
-0.980785  -0.19509  0.756889   9.98991  0.243111
 -0.92388 -0.382683  0.756941   9.99253  0.243059
 -0.83147  -0.55557  0.756764   9.98554  0.243236
-0.707107 -0.707107  0.756888   9.99367  0.243112
 -0.55557  -0.83147  0.756919   9.99087  0.243081
-0.382683  -0.92388   0.75694   9.99269   0.24306
 -0.19509 -0.980785  0.756896   9.99196  0.243104
-1.83697e-16        -1  0.756796   9.98754  0.243204
  0.19509 -0.980785  0.756948   9.99201  0.243052
 0.382683  -0.92388  0.756886   9.99106  0.243114
  0.55557  -0.83147  0.756931   9.99268  0.243069
 0.707107 -0.707107  0.756925   9.99298  0.243075
  0.83147  -0.55557  0.756912   9.98827  0.243088
  0.92388 -0.382683  0.756796   9.98786  0.243204
 0.980785  -0.19509  0.756869     9.989  0.243131
        1         0  0.756976   9.99291  0.243024
2.77556e-17         0 -6.25001e-05  -4.50376 6.25001e-05
     -0.5 0.0492457  0.250264  -1.49361 0.00216095
-0.236839 -0.443094  0.250129  -1.52124 0.00229589
-0.145845  0.480785  0.250193  -1.19344 0.0022317
 0.263161 -0.425506  0.248464 -0.762101 0.0018453
 0.388375  0.318731  0.250064  -1.84646 0.00236129
 0.551688 -0.0913973  0.305251  -8.91502 0.00746203
-0.570885 -0.305145  0.431957  -9.91018 -0.0129334
-0.500385  0.410655  0.431986  -9.79375 -0.012963
 0.187907  0.619447  0.432089  -9.76917 -0.0130656
0.0211771  -0.66218  0.459375   -9.8436 -0.0204441
 0.671421   0.19386  0.531364  -9.83766 -0.0429759
 0.568581 -0.397621  0.521273  -9.91333 -0.0398868
 0.290396 0.0421361 0.0860976   -4.0558 7.35968e-06
-0.319998 -0.171043  0.131594  -4.67665 6.046e-05
 0.105328  0.347218  0.131644  -4.44657 1.02592e-05
-0.280481  0.230185  0.131695   -3.3357 -4.02993e-05
-0.732454 -0.0885431  0.615336   9.70953 -0.071007
-0.0560529  0.735654  0.615257    9.7814 -0.0709281
-0.480551 -0.559821  0.615157   9.75243 -0.0708282
 0.471973  0.575101   0.62782   9.82353 -0.0743208
-0.362101  0.642815  0.615372   9.75036 -0.0710434
 -0.71194  0.215965  0.627656   9.78072 -0.0741573
 0.280174 -0.684945  0.619952   9.81955 -0.0723044
 -0.23754 -0.705395  0.628148   9.84237 -0.0741404
0.00805534 -0.289149 0.0836196  -3.22912 5.25803e-05
  0.73969 -0.234604  0.683088   9.94616 -0.0809075
 0.225735 -0.188712 0.0865704  -3.72925 -1.67002e-06
 0.495372 -0.612545   0.70044   9.96192 -0.0798354
 0.772827 -0.00965354  0.678557   9.95094 -0.0812027
 0.590876  0.394514  0.556664  -9.64157 -0.0518887
 0.486612  0.103674  0.245958 -0.911672 0.00158129
-0.0633382  0.208798 0.0475888  -4.27442 1.95261e-05
-0.217143 0.0213867 0.0474684  -5.46371 0.000139992
 0.404031 -0.281887  0.241459  -1.17691 0.0012426
-0.081288 -0.825331  0.748775   9.98672 -0.0609971
-0.127264 -0.150358 0.0387711  -4.24722 3.25719e-05
-0.240554  0.793002  0.748108   9.98094  -0.06139
0.0734623 -0.473595  0.229496  -1.04531 0.000192834
 0.139163 -0.804545  0.736059   9.97778 -0.0693995
 0.124575  0.151795 0.0384553  -5.18816 0.000105413
-0.326839  0.464548  0.315357   -9.0663 0.00727149
-0.411188 -0.391859  0.315483  -9.20797 0.00714536
0.0136677   0.56784  0.315248  -9.59643 0.00738071
-0.655049 -0.478357  0.730066   9.97908 -0.0721513
 -0.75168 -0.324351  0.738445    9.9781 -0.0682197
-0.554262 -0.124185  0.315419  -9.00137 0.00720947
  0.31246  0.485301  0.326624  -9.09247 0.00652387
 -0.54914  0.596959  0.730154    9.9792 -0.0722398
  0.12494  0.801439  0.730168   9.97578 -0.0722536
 0.350638  0.729857  0.728571   9.98038 -0.0729332
-0.697031   0.41205  0.728374   9.97463 -0.0727365
-0.529419  0.229919  0.326585  -9.52655 0.00656239
-0.836804  0.082418   0.75883   9.98664 -0.0517969
-0.402594   -0.7532  0.768524   9.99073 -0.0391328
 0.379965  -0.11076  0.156761  -2.82206 -0.000119512
 0.652078 -0.545993  0.766097   9.98954 -0.0427832
 -0.12643 -0.574541  0.340856   -9.6867 0.00522499
 0.749536 -0.405394  0.767195   9.98654 -0.0410471
 0.664251  0.545136   0.77168    9.9892 -0.0332771
 0.755801  0.344224  0.749868    9.9847 -0.0601417
-0.187363  0.638664  0.465037  -9.87491 -0.0220403
-0.0773876 -0.423268  0.185397  -4.34905 -0.000251641
-0.210162 -0.286204  0.125995  -5.05136 8.54533e-05
 0.239687  0.261792  0.125745  -5.23442 0.000240303
 0.411586 -0.770023  0.779021   9.99081 -0.0166831
 0.528305  0.252685  0.337443  -9.36265 0.00551282
 0.826304  0.144013  0.757014   9.98524 -0.053496
 0.629251  0.045827  0.404132  -9.75431 -0.00607519
  0.55302 -0.244902  0.363778  -9.69106 0.00202993
  0.41816 -0.436642  0.363473  -9.60227 0.00204097
-0.663286  0.059742  0.465847  -9.85792 -0.0223294
 0.196352 -0.560165  0.348019  -9.61734 0.00431906
0.0724796 -0.142668 0.0255369   -4.7523 7.04514e-05
 0.147374 0.00606884 0.0217047    -4.787 5.12928e-05
 0.357048  0.173204  0.157464  -4.59386 1.90437e-05
 0.141934 -0.345494   0.13958  -2.26469 -6.88225e-05
 -0.68868  0.565185  0.785504   9.99157 0.0082109
 0.262654  0.844046  0.783498   9.99226 -0.00209685
-0.421698 -0.0704574  0.183143  -3.85949 -0.000349848
-0.452563  -0.22477  0.252677  -2.14015 0.00265777
 0.168632  0.476655  0.252873  -2.03437 0.00276352
-0.0479211  0.361982  0.133286  -4.12658 4.20513e-05
-0.380849  0.332098  0.252686  -2.15002 0.00264909
-0.404873  0.157467  0.189046  -4.39454 -0.000327995
-0.226471  0.362635  0.183136  -4.72806 -0.000343372
 0.338789 -0.555026  0.436896  -9.88863 -0.014064
-0.323944 -0.574013  0.453276  -9.82967 -0.0188459
-0.381373   0.78269  0.777921   9.99136 -0.0198719
-0.561138 -0.683749   0.78362   9.99421 -0.0012311
-0.117739  0.862662  0.777888   9.99213 -0.0198396
-0.880268 -0.0866988  0.783541   9.99165 -0.00115236
-0.219446 -0.843573  0.778424   9.99138 -0.0186522
 0.889933 -0.0876507   0.78631    9.9917 0.0133528
  0.27926 -0.826794  0.778853   9.98983 -0.0172789
-0.663172 -0.205424  0.522092  -9.86441 -0.0400954
-0.807777  -0.20109   0.75166   9.98543 -0.0587195
  0.44111   0.44335   0.39519  -9.84535 -0.00405308
-0.847281  0.217361  0.779761   9.99077 -0.0146298
 0.582646  0.653383  0.780052   9.98901 -0.0136658
0.0745801  0.682126  0.505704  -9.72299 -0.0348458
-0.434999  0.535775  0.513584   -9.8667 -0.0373057
-0.535072   -0.4296  0.505259  -9.85919 -0.0344006
 0.952332  0.288887  0.759302   9.99253  0.231091
-0.110049  -0.70105  0.555067  -9.69706 -0.0514853
 0.154026 -0.679141  0.526899  -9.72737 -0.0419414
-0.494029  0.715814  0.777534   9.99194  -0.02108
0.00678047  0.844655   0.76185   9.98731 -0.0483616
 0.350303  0.604651  0.531323  -9.85842 -0.0430074
-0.599258  0.333839  0.505024    -9.856 -0.0344655
-0.802818  0.338368  0.778069   9.98946 -0.0190593
-0.774361 -0.445901  0.786245   9.99105 0.0122171
 0.952332 -0.288887  0.759397   9.99125  0.230996
 0.858805 -0.206106  0.783102   9.99258 -0.00307634
 0.478866  0.728706  0.778558   9.98975 -0.0182321
-0.597011    0.4849  0.672253   9.92414 -0.0807018
-0.179055  0.146946 0.0537598   -3.2458 -0.000105999
0.0348397 -0.877537  0.781257   9.99176 -0.00997248
 0.265225 -0.0752935 0.0760448  -4.45478 -3.15915e-05
 0.255432 -0.305373  0.158581   -5.1398 -8.22633e-05
 0.408634 0.00871913  0.167221  -3.95355 -0.000162714
-0.334103 -0.294455  0.198816   -2.3139 -0.000487338
0.0509876  0.453993  0.209073  -2.56043 -0.000363435
 0.232067  0.729488  0.666442   9.93376 -0.0804339
 0.684837 -0.111608  0.521333  -9.69139 -0.0398752
 0.662356 -0.324741  0.615217   9.68373 -0.071045
 0.283002  0.371291  0.218133  -2.07716 -0.000185919
-0.769288 -0.631339  0.759316   9.99116  0.231076
-0.649402 -0.599941   0.78349    9.9939 -0.00183789
0.0975452  0.990393  0.759458   9.99354  0.230935
 0.604673 -0.652139  0.785168   9.99307 0.00574566
-0.347799  0.038671  0.122454  -3.64311 6.40497e-06
-0.104142 0.0556651 0.0138508  -5.10539 9.33295e-05
 0.884611 0.0375834  0.783986   9.99355 -3.70514e-05
  0.82202 -0.315537  0.782115   9.98964 -0.00683351
 0.514656 -0.499183  0.571416   2.90255 -0.0573619
  0.39088 -0.657978  0.665807   9.90194 -0.0800855
 0.516664 -0.724429  0.785187    9.9917 0.00655245
 0.245493  0.147451  0.082124  -4.28781 -0.000115057
 0.877675  0.469127    0.7594    9.9917  0.230993
 0.753225  0.464365  0.783581   9.99192 -0.000596975
-0.166564  0.262748 0.0966931  -4.12225 8.70912e-05
-0.0269128 -0.523218  0.269646  -4.38259 0.00483554
-0.242365  0.539801  0.345497  -9.47007 0.00462873
  0.72944 0.0915842  0.609993    9.7237 -0.0695232
-0.877675  0.469127  0.759278   9.98861  0.231115
 0.459519 -0.186828  0.244526 -0.543815 0.00153561
-0.100677 -0.259799 0.0776909   -4.5674 -5.96211e-05
0.0496625  0.243076 0.0614653  -5.00611 8.71874e-05
0.0115744  0.117517 0.0138843  -4.14672 5.98208e-05
-0.230673 -0.0950845 0.0621791   -5.2334 7.21425e-05
 0.469127  0.877675  0.759429   9.99202  0.230964
-0.615882  0.160193  0.413179  -9.86112 -0.00820689
 0.628589   0.29316  0.520919  -9.84016 -0.0398524
 0.539127  0.489879  0.595639   9.42943 -0.0649989
0.0130212 -0.770809  0.674994   9.94469 -0.0806775
-0.952332 -0.288887  0.759415   9.99191  0.230977
 0.127659 -0.237077  0.072429  -3.51179 7.35121e-05
-0.586363 -0.0189373  0.338719  -9.56484 0.00546169
-0.631339  0.769288   0.75935   9.99141  0.231042
-0.0780909  0.628108  0.407378  -9.81972 -0.0067603
 0.838362  0.260778  0.781083   9.99123 -0.0102277
 0.494299  0.352404  0.367089  -9.72653 0.00143116
-0.0259606 -0.183698 0.0342943  -5.24391 0.000124487
-0.409183 -0.643453  0.661428   9.90878 -0.0799648
-0.135259 -0.0451516 0.0204303  -4.32698 -9.66428e-05
 0.790324 -0.124793  0.716891   9.96906 -0.0767056
 0.511633 0.00363101  0.258382  -2.37984 0.00339964
 0.583895  0.138771  0.357073  -9.71233 0.00311741
-0.304112 -0.784386  0.759129   9.98625 -0.0513841
 0.164181 -0.0956187  0.036167  -3.73752 -6.84969e-05
-0.852575  -0.30984  0.788603   9.99462 0.0342825
 -0.28314  0.123531 0.0953992  -4.43294 2.90427e-05
0.0905347 -0.579869  0.338982   -9.5435 0.00546249
-0.395866  -0.49649  0.410746  -9.81568 -0.00753473
  0.33075 -0.204937   0.15125   -5.0735 0.000144922
 0.345389 -0.365263  0.250415  -1.84008 0.00229579
 0.476803 -0.353265  0.347765  -9.57571 0.00437235
-0.805465 -0.0157802  0.723813   9.97798 -0.0747901
-0.0482323  0.461484  0.215576  -2.23485 -0.000281889
-0.225109 -0.545335  0.343012  -9.64676 0.00505203
   0.3599  0.827985  0.788078   9.99403 0.0270094
-0.755473  0.492032  0.787799   9.99321 0.0250359
-0.695817  0.313348  0.662182   9.91715 -0.0798332
 0.990393 -0.0975452  0.759546    9.9942  0.230847
 0.769288 -0.631339  0.759389   9.99162  0.231003
0.0975452 -0.990393  0.759376   9.99003  0.231017
-0.990393 0.0975452  0.759428   9.99334  0.230965
 0.288887 -0.952332  0.759556   9.99458  0.230836
-0.0975452 -0.990393  0.759329   9.99177  0.231063
 0.631339 -0.769288  0.759296   9.98811  0.231097
-0.990393 -0.0975452  0.759442   9.99404  0.230951
-0.631339 -0.769288   0.75947    9.9942  0.230923
-0.288887 -0.952332  0.759403   9.99142   0.23099
-0.769288  0.631339  0.759422   9.99286  0.230971
 0.631339  0.769288  0.759466   9.99321  0.230927
-0.288887  0.952332  0.759385   9.99323  0.231008
 0.288887  0.952332  0.759398    9.9896  0.230994
-0.0975452  0.990393  0.759246   9.98717  0.231147
 0.990393 0.0975452  0.759414   9.99169  0.230979
 0.769288  0.631339  0.759329   9.99091  0.231064
-0.877675 -0.469127   0.75931   9.98906  0.231082
-0.952332  0.288887  0.759388   9.99258  0.231004
-0.469127  0.877675  0.759257   9.98775  0.231135
-0.469127 -0.877675  0.759408   9.99208  0.230985
 0.469127 -0.877675   0.75931   9.99102  0.231083
 0.877675 -0.469127  0.759491   9.99245  0.230901
 0.166081 -0.440751  0.221921  -2.38245 -7.65499e-05
0.0493148 -0.378338  0.145436  -5.36972 0.000135814
-0.273435  0.695335  0.633572   9.86261 -0.0753148
-0.217822  0.886894  0.788999   9.99386 0.0450275
-0.146471  0.770223  0.695007   9.95704 -0.0803086
-0.315801  0.853899  0.788958   9.99513 0.0399157
-0.141642  -0.90053  0.788948   9.99439 0.0420686
-0.322958 -0.0577357  0.107417   -5.4943 0.000217959
-0.734849  -0.53618  0.788831   9.99416 0.0386608
-0.655287 -0.371188  0.645058   9.88634 -0.0778769
 -0.61452  0.671542  0.788934   9.99472 0.0396697
-0.568228 -0.520006  0.673956   9.94733 -0.0806668
 0.137866  0.899776  0.788925   9.99292 0.0396788
-0.225874  -0.19123 0.0876088  -4.17818 -2.10046e-05
 0.145382  0.245252 0.0812461  -5.15099 3.81914e-05
-0.137235 -0.348401  0.140128  -4.75143 8.84318e-05
 0.138074 -0.901885  0.789018   9.99468 0.0434427
-0.459297  0.627505  0.685733   9.95465 -0.0810168
 0.433415    0.2329   0.24094  -1.25988 0.00115089
 0.644349 -0.203395   0.48451  -9.85978 -0.0279546
-0.046066 -0.087173 0.00972763  -3.66338 -6.41993e-06
 0.218771 -0.755476  0.698844   9.96167 -0.0802386
 0.427157 -0.528473  0.492052  -9.90883 -0.0303052
 0.264914  0.566051  0.394445  -9.85172 -0.00385091
  0.39531  0.524705  0.449298  -9.86389 -0.0177126
-0.496941  0.142476  0.263331  -3.68098 0.00391783
-0.508676  0.319287  0.357667  -9.67328 0.00302872
-0.918402  0.041209  0.789091   9.99418 0.0560691
-0.903835  0.145091  0.789144   9.99467 0.0488263
 -0.78025  0.154687  0.710776   9.96598 -0.0780579
-0.330351 -0.693791  0.671294    9.9309 -0.0808157
-0.408312  0.420534  0.338113  -9.39755 0.00545442
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</pre>