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)

# 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
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0.860089	0.328355	0.788948	9.99112	0.0586229
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0.450069	0.025593	0.203677	-1.71806	-0.000460365
-0.137567	-0.00352233	0.0189149	-1.62584	2.23058e-05
0.311551	-0.61901	0.519357	-9.53088	-0.0391199
-0.750449	-0.352243	0.748626	9.97513	-0.0613773
-0.75793	-0.359663	0.757323	9.98036	-0.0535086
-0.0620439	-0.983771	0.766228	9.99308	0.205426
0.00414652	-0.803847	0.72137	9.9576	-0.0751833
0.262355	-0.792839	0.754066	9.98011	-0.0566423
-0.466727	0.187538	0.250848	-1.15506	0.00215551
-0.485535	0.183967	0.265386	-2.81822	0.00420288
-0.0479956	-0.09725	0.0117788	-1.43402	-1.76398e-05
0.900267	-0.188528	0.789095	9.99082	0.056928
0.777325	0.604834	0.76664	9.99364	0.203419