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Theory and Modern Applications

Table 2 Results obtained for first derivative of the slit problem

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

\(\boldsymbol{(h^{-1},n)}\)

(16,70)

(32,70)

(64,110)

(128,130)

\(\Vert \epsilon_{h}^{ ( 1 ) }\Vert _{\overline{D}_{S}}\)

7.89831 × 10−7

9.78871 × 10−8

4.29502 × 10−9

2.94108 × 10−10