Results for 2D Laplace Eqn on the circle, with H=0
h Nodes Time | L2(Gamma) H1(Gamma) Area*St.dev
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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
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As we expected, order of convergence is less than optimal
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
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As we expected, order of convergence is less than optimal
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