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. Author manuscript; available in PMC: 2017 Mar 1.
Published in final edited form as: Comput Aided Geom Des. 2016 Mar 1;43:123–130. doi: 10.1016/j.cagd.2016.02.009

Table 2.

Local refinement level μ: error and approximate convergence rate in the L2, L∞ and H1 norms for Poisson’s equation on the square [0, 6]2.

μ ||u − uh||L2 a.c.r. ||·||L2 ||u − uh||L∞ a.c.r. ||·||L∞ ||u − uh||H1 a.c.r. ||·||H1
1 0.0625 - 0.0826 - 0.4568 -
2 0.0213 2.9 0.0199 4.15 0.1920 2.38
3 0.019 1.12 0.011 1.81 0.1304 1.47