Saturday, March 29, 2014

Results for 2D Laplace Eqn on the circle, with H=0

h          Nodes   Time    |  L2(Gamma)     H1(Gamma)     Area*St.dev
---------------------------------------------------------------------------------------
0.1000   501    0:0:6s     |  4.19e-02   2.59e-01   9.99e-03
0.0500  1013    0:0:7s    |  5.01e-03   3.06 3.49e-02   2.89 2.10e-03   2.25
0.0250  1997    0:0:8s    |  2.02e-03   1.31 1.33e-02   1.40 3.41e-04   2.62
0.0125  3989   0:0:18s   |  9.38e-04   1.10 5.83e-03   1.19 4.09e-05   3.06
0.0063  7941   0:4:41s   |  2.69e-04   1.80 1.66e-03   1.81 5.01e-06   3.03
0.0031 15961  2:28:17s |  6.94e-05   1.95 4.28e-04   1.95 6.20e-07   3.02
-----------------------------------------------------------------------------------------

As we expected, order of convergence is less than optimal

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