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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 2.

Error and estimated rates of convergence of gIGA elements in the L2, L∞ and H1 norms for Poisson’s equation on the disk of Fig. 4b.

Poisson’s equation on (b)
ℓ ‖u − uh‖L2 e.r.c. L2 ‖u − uh‖L∞ e.r.c. L∞ ‖u − uh‖H1 e.r.c. H1
1 3.6e-4 0 6.2e-4 – 6.8e-3 –
2 7.5e-5 4.8 2.0e-4 3.6 2.7e-3 2.5
3 7.6e-6 9.8 2.1e-5 8.2 6.2e-4 4.4
4 8.0e-7 9.5 3.4e-6 6.2 1.5e-4 4.2
5 9.0e-8 8.9 5.8e-7 5.9 3.5e-5 4.2