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Table 5 Order of convergence of derivatives in ‘singular’ parts of Example 5.2

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

\(\boldsymbol{2^{-m}}\) \(\boldsymbol{2^{-5}}\) \(\boldsymbol{2^{-6}}\)
\(\widetilde{R}_{P_{S}^{1}}^{m}\) 13.8404 19.6426
\(\widetilde{R}_{P_{S}^{2}}^{m}\) 13.7489 19.6505