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Table 4 Order of convergence of Example 5.2

From: A fourth order block-hexagonal grid approximation for the solution of Laplace’s equation with singularities

\(\boldsymbol{2^{-m}}\) \(\boldsymbol{2^{-5}}\) \(\boldsymbol{2^{-6}}\)
\(\widetilde{R}_{P_{NS}^{1}}^{m}\) 16.257 15.9884
\(\widetilde{R}_{P_{NS}^{2}}^{m}\) 16.2387 16.0086
\(\widetilde{R}_{P_{S}^{1}}^{m}\) 19.3268 12.7771
\(\widetilde{R}_{P_{S}^{2}}^{m}\) 18.2604 14.0755