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Theory and Modern Applications

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