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Theory and Modern Applications

Table 3 Results obtained for second 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)

\(\Vert \epsilon_{h}^{ ( 2 ) }\Vert _{\overline{D}_{S}}\)

3.7119 × 10−6

9.736 × 10−7

2.03211 × 10−8

9.30597 × 10−10