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. Author manuscript; available in PMC: 2017 Jan 1.
Published in final edited form as: Appl Math Comput. 2016 Jan 1;272(Pt 1):148–158. doi: 10.1016/j.amc.2015.06.103

Table 1.

Error and estimated rate of convergence (e.r.c.) of gIGA elements in the L2, L∞ and H1 norms for Poisson’s equation Fig. 4a.

Poisson’s equation on (a)
ℓ ‖u − uh‖L2 e.r.c. L2 ‖u − uh‖L∞ e.r.c. L∞ ‖u − uh‖H1 e.r.c. H1
1 2.0e-3   – 3.0e-3 – 2.2e-2 –
2 5.4e-4   3.7 9.7e-4 3.1 9.7e-3 2.3
3 5.4e-5 10.0 1.3e-4 7.5 2.0e-3 4.9
4 5.2e-6 10.3 1.7e-5 7.7 4.5e-4 4.5
5 5.3e-7   9.8 2.1e-6 7.9 1.0e-4 4.3