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. Author manuscript; available in PMC: 2011 Jun 7.
Published in final edited form as: SIAM J Sci Comput. 2011 Jan 1;33(2):826–848. doi: 10.1137/090764645

TABLE 7.1.

Comparison of solution error under several quadrature procedures on the single ion example. Each quadrature scheme is listed as Ng/Ns/Dns. In all cases Nns = 6 and εtol = 10−7.

h Mesh
Vertices
Quadrature Scheme
3/9/3 3/9/0 3/4/0 1/9/0 1/4/0
4.9e-1 42 5.88e-2 5.91e-2 6.05e-2 6.15e-2 6.29e-2
2.5e-1 82 1.93e-2 1.94e-2 1.98e-2 2.13e-2 2.18e-2
1.2e-1 162 5.36e-3 5.38e-3 5.55e-3 6.47e-3 6.64e-3
6.2e-2 322 1.41e-3 1.41e-3 1.49e-3 1.98e-3 2.06e-3
3.1e-2 642 3.62e-4 3.65e-4 4.06e-4 6.50e-4 6.90e-4
1.6e-2 1282 9.54e-5 9.70e-5 1.17e-4 2.38e-4 2.58e-4