{
  "format": "fastandaccurate-result",
  "formatVersion": 1,
  "problem": "laplace-dirichlet-2d",
  "problemVersion": 1,
  "instance": "star-nearfield",
  "spec": {
    "a": 0.3,
    "d": 0.08,
    "instance": "star-nearfield",
    "k": 5,
    "problem": "laplace-dirichlet-2d",
    "problemVersion": 1,
    "nearBoundary": true
  },
  "specHash": "8283a59db276842f8024202c0ee279cf8052854b709e0bfa12b687fe00fd5df0",
  "solver": {
    "id": "mfs-mat",
    "version": "1.0.0",
    "backend": "cpu",
    "source": "builtin"
  },
  "environment": {
    "kind": "matlab",
    "runtime": "MATLAB 26.2.0.3320248 (R2026b) Prerelease Update 2",
    "os": "linux 6.12.101+deb13-amd64",
    "cpu": "13th Gen Intel(R) Core(TM) i7-1355U",
    "machineLabel": "linux laptop (i7-1355U)",
    "browserReproducible": false
  },
  "protocol": {
    "warmupRuns": 2,
    "minTimedRuns": 5,
    "timeBudgetSeconds": 0.5,
    "maxTimedRuns": 50,
    "statistic": "min",
    "timer": "matlab tic/toc"
  },
  "createdUtc": "2026-08-18T20:34:34.533Z",
  "points": [
    {
      "n": 8,
      "solveSeconds": 0.00004,
      "solveSecondsAll": [
        0.005549,
        0.000161,
        0.000104,
        0.000092,
        0.000218,
        0.000086,
        0.000069,
        0.000054,
        0.000052,
        0.000054,
        0.000061,
        0.000058,
        0.00004,
        0.00005,
        0.000048,
        0.000049,
        0.000057,
        0.000052,
        0.00005,
        0.000052,
        0.00005,
        0.000088,
        0.000117,
        0.000132,
        0.000114,
        0.000133,
        0.000108,
        0.000114,
        0.000378,
        0.00053,
        0.000819,
        0.000452,
        0.000323,
        0.00039,
        0.000329,
        0.000322,
        0.000349,
        0.000431,
        0.000295,
        0.000172,
        0.000146,
        0.00015,
        0.00015,
        0.00015,
        0.00015,
        0.000154,
        0.000162,
        0.000161,
        0.00016,
        0.000167
      ],
      "coldSeconds": 0.001999,
      "relMax": 0.31876908283445954,
      "relL2": 0.2292040861178067
    },
    {
      "n": 12,
      "solveSeconds": 0.000052,
      "solveSecondsAll": [
        0.000071,
        0.000056,
        0.000056,
        0.000062,
        0.000055,
        0.000061,
        0.000052,
        0.000055,
        0.000057,
        0.000052,
        0.00006,
        0.000074,
        0.000065,
        0.000055,
        0.000053,
        0.000061,
        0.000062,
        0.000057,
        0.000059,
        0.000056,
        0.000062,
        0.000052,
        0.000079,
        0.000156,
        0.000134,
        0.000143,
        0.000163,
        0.000158,
        0.000141,
        0.000137,
        0.000171,
        0.000179,
        0.000146,
        0.00014,
        0.000131,
        0.000135,
        0.000151,
        0.000161,
        0.00015,
        0.000187,
        0.000154,
        0.000157,
        0.000162,
        0.00015,
        0.000158,
        0.00017,
        0.00015,
        0.000158,
        0.000141,
        0.000157
      ],
      "coldSeconds": 0.000257,
      "relMax": 0.6479335663256957,
      "relL2": 0.31490611239376326
    },
    {
      "n": 16,
      "solveSeconds": 0.000119,
      "solveSecondsAll": [
        0.000192,
        0.00018,
        0.0002,
        0.000181,
        0.000153,
        0.000155,
        0.000175,
        0.000176,
        0.000147,
        0.000145,
        0.00015,
        0.00016,
        0.000149,
        0.000159,
        0.000175,
        0.000174,
        0.000166,
        0.000185,
        0.000179,
        0.000119,
        0.000133,
        0.000144,
        0.000171,
        0.000184,
        0.000169,
        0.000169,
        0.000126,
        0.000399,
        0.000274,
        0.00016,
        0.000144,
        0.000147,
        0.000153,
        0.000146,
        0.000183,
        0.000341,
        0.000449,
        0.000343,
        0.000313,
        0.000261,
        0.000257,
        0.000252,
        0.000244,
        0.000282,
        0.000288,
        0.00029,
        0.000295,
        0.000345,
        0.000327,
        0.000311
      ],
      "coldSeconds": 0.000355,
      "relMax": 0.15566792181803013,
      "relL2": 0.09010733269316422
    },
    {
      "n": 24,
      "solveSeconds": 0.000233,
      "solveSecondsAll": [
        0.000233,
        0.000293,
        0.000509,
        0.000549,
        0.000575,
        0.000495,
        0.000566,
        0.000456,
        0.000446,
        0.000529,
        0.000511,
        0.000471,
        0.000498,
        0.000525,
        0.000497,
        0.000525,
        0.000471,
        0.000438,
        0.000446,
        0.00044,
        0.000534,
        0.000454,
        0.000424,
        0.000376,
        0.00038,
        0.000382,
        0.000382,
        0.000364,
        0.000383,
        0.000429,
        0.000488,
        0.000465,
        0.000435,
        0.000385,
        0.00038,
        0.000376,
        0.000381,
        0.000401,
        0.000397,
        0.000399,
        0.000386,
        0.000366,
        0.000379,
        0.000377,
        0.000359,
        0.00034,
        0.000336,
        0.000316,
        0.000325,
        0.000324
      ],
      "coldSeconds": 0.000462,
      "relMax": 0.11505858289222703,
      "relL2": 0.06007397726136414
    },
    {
      "n": 32,
      "solveSeconds": 0.00021,
      "solveSecondsAll": [
        0.000456,
        0.000242,
        0.000224,
        0.000215,
        0.000211,
        0.00021,
        0.00025,
        0.00032,
        0.000358,
        0.000402,
        0.000365,
        0.000334,
        0.000314,
        0.000295,
        0.000301,
        0.000342,
        0.000312,
        0.000296,
        0.000298,
        0.00031,
        0.000307,
        0.000304,
        0.000284,
        0.000279,
        0.000278,
        0.000274,
        0.000279,
        0.000277,
        0.000274,
        0.000307,
        0.000305,
        0.000325,
        0.000424,
        0.00034,
        0.000302,
        0.000282,
        0.000277,
        0.000281,
        0.000296,
        0.000298,
        0.000293,
        0.000278,
        0.000289,
        0.000284,
        0.000285,
        0.000292,
        0.000276,
        0.000267,
        0.000266,
        0.000271
      ],
      "coldSeconds": 0.000945,
      "relMax": 3.4231353851207156,
      "relL2": 0.8095640158696812
    },
    {
      "n": 48,
      "solveSeconds": 0.000288,
      "solveSecondsAll": [
        0.000546,
        0.000555,
        0.000497,
        0.000473,
        0.0004,
        0.000391,
        0.000402,
        0.000364,
        0.000371,
        0.000354,
        0.000352,
        0.000332,
        0.000346,
        0.000321,
        0.000346,
        0.000328,
        0.000343,
        0.000961,
        0.000479,
        0.000408,
        0.000395,
        0.000383,
        0.000365,
        0.000383,
        0.00036,
        0.000391,
        0.000311,
        0.000299,
        0.000407,
        0.000322,
        0.000296,
        0.000309,
        0.000288,
        0.000439,
        0.000357,
        0.000345,
        0.000591,
        0.000367,
        0.000315,
        0.000313,
        0.000311,
        0.000324,
        0.000306,
        0.000318,
        0.000491,
        0.000325,
        0.000304,
        0.000298,
        0.000319,
        0.000319
      ],
      "coldSeconds": 0.00069,
      "relMax": 0.13224837934139147,
      "relL2": 0.058231821815338154
    },
    {
      "n": 64,
      "solveSeconds": 0.000446,
      "solveSecondsAll": [
        0.000446,
        0.001477,
        0.000525,
        0.000482,
        0.000474,
        0.000475,
        0.000519,
        0.000508,
        0.000491,
        0.000484,
        0.000461,
        0.000485,
        0.000454,
        0.000461,
        0.000472,
        0.00046,
        0.00047,
        0.000474,
        0.000508,
        0.000843,
        0.001428,
        0.000607,
        0.000776,
        0.000552,
        0.000556,
        0.000493,
        0.000504,
        0.00054,
        0.000513,
        0.000536,
        0.000486,
        0.000479,
        0.000477,
        0.000467,
        0.00049,
        0.000705,
        0.000535,
        0.000513,
        0.000473,
        0.000461,
        0.000475,
        0.000489,
        0.000464,
        0.000477,
        0.000501,
        0.000477,
        0.000461,
        0.000494,
        0.000489,
        0.000611
      ],
      "coldSeconds": 0.000451,
      "relMax": 0.2977980527340627,
      "relL2": 0.09689817560871403
    },
    {
      "n": 96,
      "solveSeconds": 0.000635,
      "solveSecondsAll": [
        0.000671,
        0.00068,
        0.000676,
        0.00066,
        0.000675,
        0.000722,
        0.000671,
        0.000654,
        0.000663,
        0.000747,
        0.001197,
        0.00102,
        0.000685,
        0.000681,
        0.000722,
        0.000709,
        0.000749,
        0.00068,
        0.000722,
        0.001268,
        0.00073,
        0.000683,
        0.000675,
        0.000653,
        0.000672,
        0.000638,
        0.00065,
        0.000644,
        0.000673,
        0.000681,
        0.000639,
        0.000635,
        0.000647,
        0.001106,
        0.000841,
        0.000698,
        0.000686,
        0.00066,
        0.00067,
        0.000781,
        0.000812,
        0.000725,
        0.001875,
        0.001005,
        0.000781,
        0.000703,
        0.000693,
        0.000702,
        0.000695,
        0.000669
      ],
      "coldSeconds": 0.00077,
      "relMax": 0.20533226347244493,
      "relL2": 0.061449314566195165
    },
    {
      "n": 128,
      "solveSeconds": 0.000913,
      "solveSecondsAll": [
        0.001249,
        0.001181,
        0.001188,
        0.001336,
        0.001651,
        0.00299,
        0.001068,
        0.001018,
        0.000999,
        0.001009,
        0.000987,
        0.00098,
        0.001016,
        0.001195,
        0.001022,
        0.001005,
        0.001039,
        0.001022,
        0.001012,
        0.001017,
        0.0015,
        0.001024,
        0.000993,
        0.000992,
        0.001037,
        0.001015,
        0.000997,
        0.001044,
        0.001025,
        0.001016,
        0.001008,
        0.001002,
        0.001019,
        0.000985,
        0.001014,
        0.001027,
        0.001293,
        0.001021,
        0.001026,
        0.001,
        0.000932,
        0.000913,
        0.000955,
        0.001211,
        0.001204,
        0.001025,
        0.000946,
        0.000953,
        0.000931,
        0.000934
      ],
      "coldSeconds": 0.001208,
      "relMax": 0.4713272228105401,
      "relL2": 0.1617542058316277
    },
    {
      "n": 192,
      "solveSeconds": 0.002268,
      "solveSecondsAll": [
        0.002592,
        0.003966,
        0.003213,
        0.003222,
        0.00342,
        0.003308,
        0.003227,
        0.003383,
        0.00283,
        0.003177,
        0.002671,
        0.002574,
        0.002317,
        0.002741,
        0.002761,
        0.00229,
        0.002416,
        0.002268,
        0.002589,
        0.002414,
        0.002967,
        0.002761,
        0.002833,
        0.002323,
        0.002308,
        0.002821,
        0.003815,
        0.002684,
        0.002845,
        0.003044,
        0.002744,
        0.002963,
        0.003052,
        0.003052,
        0.00313,
        0.003389,
        0.003629,
        0.003408,
        0.003019,
        0.003146,
        0.003182,
        0.003371,
        0.003721,
        0.003116,
        0.003912,
        0.003196,
        0.003458,
        0.00401,
        0.003322,
        0.00329
      ],
      "coldSeconds": 0.016748,
      "relMax": 0.005936020306871914,
      "relL2": 0.0013885650476708057
    },
    {
      "n": 256,
      "solveSeconds": 0.00255,
      "solveSecondsAll": [
        0.003529,
        0.00269,
        0.002555,
        0.002627,
        0.00255,
        0.00344,
        0.00292,
        0.003371,
        0.002805,
        0.002885,
        0.002807,
        0.003254,
        0.002673,
        0.003105,
        0.004026,
        0.00335,
        0.003527,
        0.003718,
        0.003164,
        0.003601,
        0.003956,
        0.004529,
        0.003846,
        0.003737,
        0.003853,
        0.003854,
        0.003341,
        0.003161,
        0.003458,
        0.002869,
        0.003248,
        0.003533,
        0.003179,
        0.003563,
        0.003046,
        0.003079,
        0.003277,
        0.003224,
        0.003476,
        0.003612,
        0.00321,
        0.003787,
        0.003607,
        0.003027,
        0.002805,
        0.003822,
        0.003952,
        0.004851,
        0.005527,
        0.004381
      ],
      "coldSeconds": 0.003551,
      "relMax": 0.05809903288558217,
      "relL2": 0.01389395115228637
    },
    {
      "n": 384,
      "solveSeconds": 0.00357,
      "solveSecondsAll": [
        0.007265,
        0.006075,
        0.005321,
        0.00534,
        0.004818,
        0.004769,
        0.004991,
        0.006243,
        0.004645,
        0.004123,
        0.00503,
        0.00382,
        0.003748,
        0.004776,
        0.006723,
        0.003986,
        0.004886,
        0.00463,
        0.004047,
        0.003925,
        0.00684,
        0.005672,
        0.005352,
        0.004495,
        0.003704,
        0.00357,
        0.003592,
        0.00394,
        0.003873,
        0.004063,
        0.00409,
        0.004276,
        0.003876,
        0.004803,
        0.004776,
        0.003942,
        0.005386,
        0.003898,
        0.004514,
        0.005603,
        0.003908,
        0.005066,
        0.004158,
        0.006312,
        0.006062,
        0.006313,
        0.005715,
        0.005789,
        0.005345,
        0.005376
      ],
      "coldSeconds": 0.00885,
      "relMax": 0.00016618519588010023,
      "relL2": 0.00004367516524271854
    },
    {
      "n": 512,
      "solveSeconds": 0.006064,
      "solveSecondsAll": [
        0.009033,
        0.018917,
        0.00832,
        0.008623,
        0.008585,
        0.008108,
        0.009313,
        0.008651,
        0.020464,
        0.009604,
        0.010274,
        0.008183,
        0.007655,
        0.013704,
        0.009896,
        0.031893,
        0.034691,
        0.008017,
        0.007109,
        0.010244,
        0.007712,
        0.015773,
        0.007129,
        0.006282,
        0.006837,
        0.017838,
        0.0068,
        0.014703,
        0.007444,
        0.013551,
        0.006484,
        0.006828,
        0.013082,
        0.007236,
        0.007984,
        0.006354,
        0.007069,
        0.006685,
        0.007007,
        0.007617,
        0.006542,
        0.006336,
        0.006125,
        0.006926,
        0.008614,
        0.014002,
        0.015132,
        0.006064
      ],
      "coldSeconds": 0.006381,
      "relMax": 0.00007817592049503567,
      "relL2": 0.00007606865613126495
    },
    {
      "n": 768,
      "solveSeconds": 0.016774,
      "solveSecondsAll": [
        0.021744,
        0.034269,
        0.02745,
        0.020778,
        0.017299,
        0.024182,
        0.028533,
        0.037152,
        0.020027,
        0.017732,
        0.016774,
        0.01779,
        0.016921,
        0.027337,
        0.054319,
        0.025993,
        0.020646,
        0.024684,
        0.046427
      ],
      "coldSeconds": 0.019061,
      "relMax": 0.0000017272796764672525,
      "relL2": 0.0000017269488284747465
    }
  ]
}