07-Jan-2022 16:00:49

biharmonic_fd2d_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Test biharmonic_fd2d()

biharmonic_fd2d_solution_test():
  biharmonic_fd2d_solution() evaluates an example
  solution of the 2D biharmonic equation.
  Graphics saved as "biharmonic_fd2d_case1.png"
  Graphics saved as "biharmonic_fd2d_case2.png"
  Graphics saved as "biharmonic_fd2d_case3.png"
  Graphics saved as "biharmonic_fd2d_case4.png"

biharmonic_fd2d_stencil_test():
  biharmonic_fd2d_stencil() defines a finite
  difference stencil approximation the 2D biharmonic
  operator.

  Stencil matrix:

     0     0     1     0     0
     0     2    -8     2     0
     1    -8    20    -8     1
     0     2    -8     2     0
     0     0     1     0     0


  Compare A*U and RHS


  Case = 1


  U(1:5,1:5)


ans =

         0         0         0         0         0
         0    0.0034    0.0064    0.0089    0.0110
         0    0.0064    0.0120    0.0167    0.0205
         0    0.0089    0.0167    0.0232    0.0286
         0    0.0110    0.0205    0.0286    0.0352

  ( 3, 3)               8               8
  ( 3, 4)               8               8
  ( 3, 5)               8               8
  ( 3, 6)               8               8
  ( 3, 7)               8               8
  ( 3, 8)               8               8
  ( 3, 9)               8               8
  ( 3,10)               8               8
  ( 3,11)               8               8
  ( 3,12)               8               8
  ( 3,13)               8               8
  ( 3,14)               8               8
  ( 3,15)               8               8
  ( 4, 3)               8               8
  ( 4, 4)               8               8
  ( 4, 5)               8               8
  ( 4, 6)               8               8
  ( 4, 7)               8               8
  ( 4, 8)               8               8
  ( 4, 9)               8               8
  ( 4,10)               8               8
  ( 4,11)               8               8
  ( 4,12)               8               8
  ( 4,13)               8               8
  ( 4,14)               8               8
  ( 4,15)               8               8
  ( 5, 3)               8               8
  ( 5, 4)               8               8
  ( 5, 5)               8               8
  ( 5, 6)               8               8
  ( 5, 7)               8               8
  ( 5, 8)               8               8
  ( 5, 9)               8               8
  ( 5,10)               8               8
  ( 5,11)               8               8
  ( 5,12)               8               8
  ( 5,13)               8               8
  ( 5,14)               8               8
  ( 5,15)               8               8
  ( 6, 3)               8               8
  ( 6, 4)               8               8
  ( 6, 5)               8               8
  ( 6, 6)               8               8
  ( 6, 7)               8               8
  ( 6, 8)               8               8
  ( 6, 9)               8               8
  ( 6,10)               8               8
  ( 6,11)               8               8
  ( 6,12)               8               8
  ( 6,13)               8               8
  ( 6,14)               8               8
  ( 6,15)               8               8
  ( 7, 3)               8               8
  ( 7, 4)               8               8
  ( 7, 5)               8               8
  ( 7, 6)               8               8
  ( 7, 7)               8               8
  ( 7, 8)               8               8
  ( 7, 9)               8               8
  ( 7,10)               8               8
  ( 7,11)               8               8
  ( 7,12)               8               8
  ( 7,13)               8               8
  ( 7,14)               8               8
  ( 7,15)               8               8
  ( 8, 3)               8               8
  ( 8, 4)               8               8
  ( 8, 5)               8               8
  ( 8, 6)               8               8
  ( 8, 7)               8               8
  ( 8, 8)               8               8
  ( 8, 9)               8               8
  ( 8,10)               8               8
  ( 8,11)               8               8
  ( 8,12)               8               8
  ( 8,13)               8               8
  ( 8,14)               8               8
  ( 8,15)               8               8
  ( 9, 3)               8               8
  ( 9, 4)               8               8
  ( 9, 5)               8               8
  ( 9, 6)               8               8
  ( 9, 7)               8               8
  ( 9, 8)               8               8
  ( 9, 9)               8               8
  ( 9,10)               8               8
  ( 9,11)               8               8
  ( 9,12)               8               8
  ( 9,13)               8               8
  ( 9,14)               8               8
  ( 9,15)               8               8
  (10, 3)               8               8
  (10, 4)               8               8
  (10, 5)               8               8
  (10, 6)               8               8
  (10, 7)               8               8
  (10, 8)               8               8
  (10, 9)               8               8
  (10,10)               8               8
  (10,11)               8               8
  (10,12)               8               8
  (10,13)               8               8
  (10,14)               8               8
  (10,15)               8               8
  (11, 3)               8               8
  (11, 4)               8               8
  (11, 5)               8               8
  (11, 6)               8               8
  (11, 7)               8               8
  (11, 8)               8               8
  (11, 9)               8               8
  (11,10)               8               8
  (11,11)               8               8
  (11,12)               8               8
  (11,13)               8               8
  (11,14)               8               8
  (11,15)               8               8
  (12, 3)               8               8
  (12, 4)               8               8
  (12, 5)               8               8
  (12, 6)               8               8
  (12, 7)               8               8
  (12, 8)               8               8
  (12, 9)               8               8
  (12,10)               8               8
  (12,11)               8               8
  (12,12)               8               8
  (12,13)               8               8
  (12,14)               8               8
  (12,15)               8               8
  (13, 3)               8               8
  (13, 4)               8               8
  (13, 5)               8               8
  (13, 6)               8               8
  (13, 7)               8               8
  (13, 8)               8               8
  (13, 9)               8               8
  (13,10)               8               8
  (13,11)               8               8
  (13,12)               8               8
  (13,13)               8               8
  (13,14)               8               8
  (13,15)               8               8
  (14, 3)               8               8
  (14, 4)               8               8
  (14, 5)               8               8
  (14, 6)               8               8
  (14, 7)               8               8
  (14, 8)               8               8
  (14, 9)               8               8
  (14,10)               8               8
  (14,11)               8               8
  (14,12)               8               8
  (14,13)               8               8
  (14,14)               8               8
  (14,15)               8               8
  (15, 3)               8               8
  (15, 4)               8               8
  (15, 5)               8               8
  (15, 6)               8               8
  (15, 7)               8               8
  (15, 8)               8               8
  (15, 9)               8               8
  (15,10)               8               8
  (15,11)               8               8
  (15,12)               8               8
  (15,13)               8               8
  (15,14)               8               8
  (15,15)               8               8

  Case = 2


  U(1:5,1:5)


ans =

         0   -0.0039   -0.0156   -0.0352   -0.0625
    0.0704    0.0664    0.0543    0.0341    0.0059
    0.1573    0.1531    0.1405    0.1196    0.0904
    0.2613    0.2570    0.2439    0.2222    0.1918
    0.3835    0.3790    0.3654    0.3427    0.3110

  ( 3, 3)      0.00292985               0
  ( 3, 4)      0.00290113               0
  ( 3, 5)      0.00286109               0
  ( 3, 6)      0.00280987               0
  ( 3, 7)      0.00274769               0
  ( 3, 8)      0.00267477               0
  ( 3, 9)       0.0025914               0
  ( 3,10)      0.00249792               0
  ( 3,11)      0.00239468               0
  ( 3,12)       0.0022821               0
  ( 3,13)       0.0021606               0
  ( 3,14)      0.00203066               0
  ( 3,15)      0.00189279               0
  ( 4, 3)      0.00311884               0
  ( 4, 4)      0.00308827               0
  ( 4, 5)      0.00304565               0
  ( 4, 6)      0.00299113               0
  ( 4, 7)      0.00292493               0
  ( 4, 8)       0.0028473               0
  ( 4, 9)      0.00275856               0
  ( 4,10)      0.00265905               0
  ( 4,11)      0.00254915               0
  ( 4,12)       0.0024293               0
  ( 4,13)      0.00229997               0
  ( 4,14)      0.00216165               0
  ( 4,15)      0.00201489               0
  ( 5, 3)      0.00332002               0
  ( 5, 4)      0.00328748               0
  ( 5, 5)      0.00324211               0
  ( 5, 6)      0.00318407               0
  ( 5, 7)       0.0031136               0
  ( 5, 8)      0.00303097               0
  ( 5, 9)      0.00293651               0
  ( 5,10)      0.00283057               0
  ( 5,11)      0.00271359               0
  ( 5,12)      0.00258601               0
  ( 5,13)      0.00244833               0
  ( 5,14)      0.00230109               0
  ( 5,15)      0.00214486               0
  ( 6, 3)      0.00353418               0
  ( 6, 4)      0.00349954               0
  ( 6, 5)      0.00345124               0
  ( 6, 6)      0.00338946               0
  ( 6, 7)      0.00331444               0
  ( 6, 8)      0.00322648               0
  ( 6, 9)      0.00312593               0
  ( 6,10)      0.00301316               0
  ( 6,11)      0.00288863               0
  ( 6,12)      0.00275282               0
  ( 6,13)      0.00260626               0
  ( 6,14)      0.00244952               0
  ( 6,15)      0.00228321               0
  ( 7, 3)      0.00376215               0
  ( 7, 4)      0.00372528               0
  ( 7, 5)      0.00367386               0
  ( 7, 6)       0.0036081               0
  ( 7, 7)      0.00352824               0
  ( 7, 8)      0.00343461               0
  ( 7, 9)      0.00332756               0
  ( 7,10)      0.00320752               0
  ( 7,11)      0.00307496               0
  ( 7,12)      0.00293039               0
  ( 7,13)      0.00277437               0
  ( 7,14)      0.00260752               0
  ( 7,15)      0.00243049               0
  ( 8, 3)      0.00400483               0
  ( 8, 4)      0.00396558               0
  ( 8, 5)      0.00391085               0
  ( 8, 6)      0.00384084               0
  ( 8, 7)      0.00375583               0
  ( 8, 8)      0.00365616               0
  ( 8, 9)      0.00354221               0
  ( 8,10)      0.00341443               0
  ( 8,11)      0.00327331               0
  ( 8,12)      0.00311941               0
  ( 8,13)      0.00295333               0
  ( 8,14)      0.00277572               0
  ( 8,15)      0.00258727               0
  ( 9, 3)      0.00426317               0
  ( 9, 4)      0.00422138               0
  ( 9, 5)      0.00416312               0
  ( 9, 6)      0.00408859               0
  ( 9, 7)       0.0039981               0
  ( 9, 8)        0.003892               0
  ( 9, 9)       0.0037707               0
  ( 9,10)      0.00363468               0
  ( 9,11)      0.00348446               0
  ( 9,12)      0.00332063               0
  ( 9,13)      0.00314384               0
  ( 9,14)      0.00295477               0
  ( 9,15)      0.00275416               0
  (10, 3)      0.00453816               0
  (10, 4)      0.00449369               0
  (10, 5)      0.00443166               0
  (10, 6)      0.00435233               0
  (10, 7)        0.004256               0
  (10, 8)      0.00414306               0
  (10, 9)      0.00401393               0
  (10,10)      0.00386913               0
  (10,11)      0.00370922               0
  (10,12)      0.00353483               0
  (10,13)      0.00334663               0
  (10,14)      0.00314537               0
  (10,15)      0.00293182               0
  (11, 3)       0.0048309               0
  (11, 4)      0.00478355               0
  (11, 5)      0.00471752               0
  (11, 6)      0.00463308               0
  (11, 7)      0.00453054               0
  (11, 8)       0.0044103               0
  (11, 9)      0.00427285               0
  (11,10)      0.00411871               0
  (11,11)      0.00394849               0
  (11,12)      0.00376285               0
  (11,13)      0.00356251               0
  (11,14)      0.00334826               0
  (11,15)      0.00312094               0
  (12, 3)      0.00514252               0
  (12, 4)      0.00509212               0
  (12, 5)      0.00502183               0
  (12, 6)      0.00493193               0
  (12, 7)      0.00482278               0
  (12, 8)      0.00469479               0
  (12, 9)      0.00454847               0
  (12,10)      0.00438439               0
  (12,11)      0.00420319               0
  (12,12)      0.00400557               0
  (12,13)      0.00379231               0
  (12,14)      0.00356424               0
  (12,15)      0.00332226               0
  (13, 3)      0.00547424               0
  (13, 4)      0.00542058               0
  (13, 5)      0.00534576               0
  (13, 6)      0.00525007               0
  (13, 7)      0.00513387               0
  (13, 8)      0.00499763               0
  (13, 9)      0.00484187               0
  (13,10)      0.00466721               0
  (13,11)      0.00447431               0
  (13,12)      0.00426395               0
  (13,13)      0.00403694               0
  (13,14)      0.00379416               0
  (13,15)      0.00353656               0
  (14, 3)      0.00582735               0
  (14, 4)      0.00577024               0
  (14, 5)      0.00569059               0
  (14, 6)      0.00558873               0
  (14, 7)      0.00546504               0
  (14, 8)         0.00532               0
  (14, 9)       0.0051542               0
  (14,10)      0.00496827               0
  (14,11)      0.00476293               0
  (14,12)        0.004539               0
  (14,13)      0.00429734               0
  (14,14)       0.0040389               0
  (14,15)      0.00376469               0
  (15, 3)      0.00620325               0
  (15, 4)      0.00614245               0
  (15, 5)      0.00605767               0
  (15, 6)      0.00594923               0
  (15, 7)      0.00581756               0
  (15, 8)      0.00566317               0
  (15, 9)      0.00548667               0
  (15,10)      0.00528874               0
  (15,11)      0.00507017               0
  (15,12)      0.00483179               0
  (15,13)      0.00457454               0
  (15,14)      0.00429943               0
  (15,15)      0.00400753               0

  Case = 3


  U(1:5,1:5)


ans =

         0         0         0         0         0
         0    0.0000    0.0000    0.0000    0.0001
         0    0.0000    0.0001    0.0004    0.0010
         0    0.0000    0.0004    0.0016    0.0042
         0    0.0001    0.0010    0.0042    0.0113

  ( 3, 3)         63.9899     2.13957e+06
  ( 3, 4)         102.274     1.53726e+06
  ( 3, 5)         125.101     1.02098e+06
  ( 3, 6)         121.469          590734
  ( 3, 7)         86.3574          246515
  ( 3, 8)         20.7124        -11690.3
  ( 3, 9)         -68.548         -183893
  ( 3,10)        -168.524         -270107
  ( 3,11)        -260.312         -270349
  ( 3,12)        -318.979         -184636
  ( 3,13)        -313.516        -12988.9
  ( 3,14)        -206.796          244571
  ( 3,15)         44.4861          588020
  ( 4, 3)         102.274      4.8175e+06
  ( 4, 4)         144.139     3.53622e+06
  ( 4, 5)         149.629     2.42222e+06
  ( 4, 6)         97.2411     1.47536e+06
  ( 4, 7)        -20.9011          695461
  ( 4, 8)        -198.388         82279.7
  ( 4, 9)        -414.657         -364453
  ( 4,10)        -635.915         -645052
  ( 4,11)        -816.866         -759873
  ( 4,12)         -903.22         -709315
  ( 4,13)        -835.003         -493819
  ( 4,14)        -550.666         -113867
  ( 4,15)         8.02721          430016
  ( 5, 3)         125.101     8.56646e+06
  ( 5, 4)         149.629     6.33122e+06
  ( 5, 5)         131.256     4.37838e+06
  ( 5, 6)         42.0591     2.70771e+06
  ( 5, 7)        -127.517     1.31889e+06
  ( 5, 8)        -367.563          211569
  ( 5, 9)        -648.923         -614711
  ( 5,10)        -924.728    -1.16045e+06
  ( 5,11)        -1133.25    -1.42624e+06
  ( 5,12)        -1202.04    -1.41271e+06
  ( 5,13)        -1053.45    -1.12058e+06
  ( 5,14)        -611.372         -550630
  ( 5,15)         190.624          296293
  ( 6, 3)         121.469     1.33864e+07
  ( 6, 4)         97.2411     9.92225e+06
  ( 6, 5)         42.0591     6.88945e+06
  ( 6, 6)        -72.4366     4.28776e+06
  ( 6, 7)        -255.434     2.11681e+06
  ( 6, 8)        -495.658          376178
  ( 6, 9)        -761.627         -934667
  ( 6,10)        -1003.46    -1.81632e+06
  ( 6,11)        -1156.26    -2.26945e+06
  ( 6,12)        -1144.97    -2.29482e+06
  ( 6,13)        -890.884    -1.89327e+06
  ( 6,14)        -319.652    -1.06572e+06
  ( 6,15)         629.182          186851
  ( 7, 3)         86.3574     1.92774e+07
  ( 7, 4)        -20.9011     1.43093e+07
  ( 7, 5)        -127.517     9.95544e+06
  ( 7, 6)        -255.434     6.21552e+06
  ( 7, 7)        -411.035     3.08922e+06
  ( 7, 8)        -583.892          576106
  ( 7, 9)         -747.02    -1.32432e+06
  ( 7,10)        -858.623    -2.61264e+06
  ( 7,11)        -865.359     -3.2895e+06
  ( 7,12)        -707.096    -3.35565e+06
  ( 7,13)        -323.177     -2.8119e+06
  ( 7,14)         339.814    -1.65913e+06
  ( 7,15)         1318.78          101691
  ( 8, 3)         20.7124     2.62395e+07
  ( 8, 4)        -198.388     1.94924e+07
  ( 8, 5)        -367.563     1.35764e+07
  ( 8, 6)        -495.658       8.491e+06
  ( 8, 7)        -583.892     4.23611e+06
  ( 8, 8)        -624.887          811353
  ( 8, 9)        -602.856    -1.78367e+06
  ( 8,10)        -494.976    -3.54942e+06
  ( 8,11)        -273.925     -4.4864e+06
  ( 8,12)         88.4028     -4.5952e+06
  ( 8,13)         616.014    -3.87645e+06
  ( 8,14)         1322.76    -2.33086e+06
  ( 8,15)         2205.09           40813
  ( 9, 3)         -68.548     3.42725e+07
  ( 9, 4)        -414.657     2.54716e+07
  ( 9, 5)        -648.923     1.77522e+07
  ( 9, 6)        -761.627     1.11142e+07
  ( 9, 7)         -747.02     5.55749e+06
  ( 9, 8)        -602.856     1.08192e+06
  ( 9, 9)        -330.487    -2.31272e+06
  ( 9,10)         64.4865    -4.62665e+06
  ( 9,11)         571.009    -5.86014e+06
  ( 9,12)          1170.8    -6.01346e+06
  ( 9,13)         1836.03    -5.08694e+06
  ( 9,14)         2526.45    -3.08092e+06
  ( 9,15)         3185.93         4216.07
  (10, 3)        -168.524     4.33766e+07
  (10, 4)        -635.915     3.22468e+07
  (10, 5)        -924.728     2.24829e+07
  (10, 6)        -1003.46     1.40851e+07
  (10, 7)        -858.623     7.05335e+06
  (10, 8)        -494.976     1.38781e+06
  (10, 9)         64.4865    -2.91146e+06
  (10,10)          778.95    -5.84435e+06
  (10,11)         1590.52    -7.41072e+06
  (10,12)         2425.28    -7.61044e+06
  (10,13)         3194.75    -6.44336e+06
  (10,14)         3797.61    -3.90931e+06
  (10,15)         4121.79         -8099.3
  (11, 3)        -260.312     5.35518e+07
  (11, 4)        -816.866      3.9818e+07
  (11, 5)        -1133.25     2.77686e+07
  (11, 6)        -1156.26     1.74037e+07
  (11, 7)        -865.359      8.7237e+06
  (11, 8)        -273.925     1.72901e+06
  (11, 9)         571.009    -3.57991e+06
  (11,10)         1590.52     -7.2025e+06
  (11,11)         2677.08    -9.13814e+06
  (11,12)         3699.43    -9.38614e+06
  (11,13)         4508.84    -7.94571e+06
  (11,14)         4947.04    -4.81601e+06
  (11,15)          4855.6         3866.86
  (12, 3)        -318.979     6.47979e+07
  (12, 4)         -903.22     4.81853e+07
  (12, 5)        -1202.04     3.36091e+07
  (12, 6)        -1144.97       2.107e+07
  (12, 7)        -707.096     1.05685e+07
  (12, 8)         88.4028     2.10554e+06
  (12, 9)          1170.8    -4.31805e+06
  (12,10)         2425.28    -8.70111e+06
  (12,11)         3699.43    -1.10424e+07
  (12,12)         4812.67    -1.13406e+07
  (12,13)         5568.75    -9.59399e+06
  (12,14)         5771.13    -5.80105e+06
  (12,15)         5241.45         40114.5
  (13, 3)        -313.516     7.71151e+07
  (13, 4)        -835.003     5.73486e+07
  (13, 5)        -1053.45     4.00046e+07
  (13, 6)        -890.884      2.5084e+07
  (13, 7)        -323.177     1.25879e+07
  (13, 8)         616.014     2.51738e+06
  (13, 9)         1836.03    -5.12589e+06
  (13,10)         3194.75    -1.03402e+07
  (13,11)         4508.84    -1.31235e+07
  (13,12)         5568.75    -1.34737e+07
  (13,13)         6158.46    -1.13882e+07
  (13,14)         6079.97     -6.8644e+06
  (13,15)         5182.47          100644
  (14, 3)        -206.796     9.05033e+07
  (14, 4)        -550.666     6.73079e+07
  (14, 5)        -611.372      4.6955e+07
  (14, 6)        -319.652     2.94458e+07
  (14, 7)         339.814     1.47817e+07
  (14, 8)         1322.76     2.96454e+06
  (14, 9)         2526.45    -6.00342e+06
  (14,10)         3797.61    -1.21197e+07
  (14,11)         4947.04    -1.53815e+07
  (14,12)         5771.13    -1.57855e+07
  (14,13)         6079.97    -1.33283e+07
  (14,14)         5732.41    -8.00609e+06
  (14,15)         4677.77          185454
  (15, 3)         44.4861     1.04962e+08
  (15, 4)         8.02721     7.80633e+07
  (15, 5)         190.624     5.44604e+07
  (15, 6)         629.182     3.41552e+07
  (15, 7)         1318.78       1.715e+07
  (15, 8)         2205.09     3.44703e+06
  (15, 9)         3185.93    -6.95066e+06
  (15,10)         4121.79    -1.40397e+07
  (15,11)          4855.6    -1.78163e+07
  (15,12)         5241.45    -1.82761e+07
  (15,13)         5182.47    -1.54144e+07
  (15,14)         4677.77    -9.22609e+06
  (15,15)         3878.46          294547

  Case = 4


  U(1:5,1:5)


ans =

         0         0         0         0         0
         0    0.0381    0.0747    0.1084    0.1379
         0    0.0747    0.1464    0.2126    0.2706
         0    0.1084    0.2126    0.3087    0.3928
         0    0.1379    0.2706    0.3928    0.5000

  ( 3, 3)         56.6953         57.0609
  ( 3, 4)         82.3089         82.8396
  ( 3, 5)         104.759         105.435
  ( 3, 6)         123.184         123.978
  ( 3, 7)         136.875         137.757
  ( 3, 8)         145.305         146.242
  ( 3, 9)         148.152         149.107
  ( 3,10)         145.305         146.242
  ( 3,11)         136.875         137.757
  ( 3,12)         123.184         123.978
  ( 3,13)         104.759         105.435
  ( 3,14)         82.3089         82.8396
  ( 3,15)         56.6953         57.0609
  ( 4, 3)         82.3089         82.8396
  ( 4, 4)         119.494         120.264
  ( 4, 5)         152.087         153.068
  ( 4, 6)         178.835         179.989
  ( 4, 7)         198.711         199.993
  ( 4, 8)         210.951         212.311
  ( 4, 9)         215.083          216.47
  ( 4,10)         210.951         212.311
  ( 4,11)         198.711         199.993
  ( 4,12)         178.835         179.989
  ( 4,13)         152.087         153.068
  ( 4,14)         119.494         120.264
  ( 4,15)         82.3089         82.8396
  ( 5, 3)         104.759         105.435
  ( 5, 4)         152.087         153.068
  ( 5, 5)          193.57         194.818
  ( 5, 6)         227.614         229.082
  ( 5, 7)         252.911         254.542
  ( 5, 8)         268.489         270.221
  ( 5, 9)         273.749         275.515
  ( 5,10)         268.489         270.221
  ( 5,11)         252.911         254.542
  ( 5,12)         227.614         229.082
  ( 5,13)          193.57         194.818
  ( 5,14)         152.087         153.068
  ( 5,15)         104.759         105.435
  ( 6, 3)         123.184         123.978
  ( 6, 4)         178.835         179.989
  ( 6, 5)         227.614         229.082
  ( 6, 6)         267.646         269.372
  ( 6, 7)         297.392          299.31
  ( 6, 8)          315.71         317.746
  ( 6, 9)         321.895         323.971
  ( 6,10)          315.71         317.746
  ( 6,11)         297.392          299.31
  ( 6,12)         267.646         269.372
  ( 6,13)         227.614         229.082
  ( 6,14)         178.835         179.989
  ( 6,15)         123.184         123.978
  ( 7, 3)         136.875         137.757
  ( 7, 4)         198.711         199.993
  ( 7, 5)         252.911         254.542
  ( 7, 6)         297.392          299.31
  ( 7, 7)         330.445         332.575
  ( 7, 8)         350.798          353.06
  ( 7, 9)         357.671         359.977
  ( 7,10)         350.798          353.06
  ( 7,11)         330.445         332.575
  ( 7,12)         297.392          299.31
  ( 7,13)         252.911         254.542
  ( 7,14)         198.711         199.993
  ( 7,15)         136.875         137.757
  ( 8, 3)         145.305         146.242
  ( 8, 4)         210.951         212.311
  ( 8, 5)         268.489         270.221
  ( 8, 6)          315.71         317.746
  ( 8, 7)         350.798          353.06
  ( 8, 8)         372.405         374.807
  ( 8, 9)         379.701          382.15
  ( 8,10)         372.405         374.807
  ( 8,11)         350.798          353.06
  ( 8,12)          315.71         317.746
  ( 8,13)         268.489         270.221
  ( 8,14)         210.951         212.311
  ( 8,15)         145.305         146.242
  ( 9, 3)         148.152         149.107
  ( 9, 4)         215.083          216.47
  ( 9, 5)         273.749         275.515
  ( 9, 6)         321.895         323.971
  ( 9, 7)         357.671         359.977
  ( 9, 8)         379.701          382.15
  ( 9, 9)          387.14         389.636
  ( 9,10)         379.701          382.15
  ( 9,11)         357.671         359.977
  ( 9,12)         321.895         323.971
  ( 9,13)         273.749         275.515
  ( 9,14)         215.083          216.47
  ( 9,15)         148.152         149.107
  (10, 3)         145.305         146.242
  (10, 4)         210.951         212.311
  (10, 5)         268.489         270.221
  (10, 6)          315.71         317.746
  (10, 7)         350.798          353.06
  (10, 8)         372.405         374.807
  (10, 9)         379.701          382.15
  (10,10)         372.405         374.807
  (10,11)         350.798          353.06
  (10,12)          315.71         317.746
  (10,13)         268.489         270.221
  (10,14)         210.951         212.311
  (10,15)         145.305         146.242
  (11, 3)         136.875         137.757
  (11, 4)         198.711         199.993
  (11, 5)         252.911         254.542
  (11, 6)         297.392          299.31
  (11, 7)         330.445         332.575
  (11, 8)         350.798          353.06
  (11, 9)         357.671         359.977
  (11,10)         350.798          353.06
  (11,11)         330.445         332.575
  (11,12)         297.392          299.31
  (11,13)         252.911         254.542
  (11,14)         198.711         199.993
  (11,15)         136.875         137.757
  (12, 3)         123.184         123.978
  (12, 4)         178.835         179.989
  (12, 5)         227.614         229.082
  (12, 6)         267.646         269.372
  (12, 7)         297.392          299.31
  (12, 8)          315.71         317.746
  (12, 9)         321.895         323.971
  (12,10)          315.71         317.746
  (12,11)         297.392          299.31
  (12,12)         267.646         269.372
  (12,13)         227.614         229.082
  (12,14)         178.835         179.989
  (12,15)         123.184         123.978
  (13, 3)         104.759         105.435
  (13, 4)         152.087         153.068
  (13, 5)          193.57         194.818
  (13, 6)         227.614         229.082
  (13, 7)         252.911         254.542
  (13, 8)         268.489         270.221
  (13, 9)         273.749         275.515
  (13,10)         268.489         270.221
  (13,11)         252.911         254.542
  (13,12)         227.614         229.082
  (13,13)          193.57         194.818
  (13,14)         152.087         153.068
  (13,15)         104.759         105.435
  (14, 3)         82.3089         82.8396
  (14, 4)         119.494         120.264
  (14, 5)         152.087         153.068
  (14, 6)         178.835         179.989
  (14, 7)         198.711         199.993
  (14, 8)         210.951         212.311
  (14, 9)         215.083          216.47
  (14,10)         210.951         212.311
  (14,11)         198.711         199.993
  (14,12)         178.835         179.989
  (14,13)         152.087         153.068
  (14,14)         119.494         120.264
  (14,15)         82.3089         82.8396
  (15, 3)         56.6953         57.0609
  (15, 4)         82.3089         82.8396
  (15, 5)         104.759         105.435
  (15, 6)         123.184         123.978
  (15, 7)         136.875         137.757
  (15, 8)         145.305         146.242
  (15, 9)         148.152         149.107
  (15,10)         145.305         146.242
  (15,11)         136.875         137.757
  (15,12)         123.184         123.978
  (15,13)         104.759         105.435
  (15,14)         82.3089         82.8396
  (15,15)         56.6953         57.0609

biharmonic_fd2d_test:
  Normal end of execution.

07-Jan-2022 16:00:54