Boundary Value Problems

Table 6 The order of convergence in ‘singular’ part

From: Approximation on the hexagonal grid of the Dirichlet problem for Laplace’s equation

(h,N)	${∥ ϵ_{h} ∥}_{Ω^{S}}$	$R_{Ω^{S}}^{m}$
(2⁻⁴,40)	9.9742 × 10⁻⁴	11.7569
(2⁻⁵,60)	3.57195 × 10⁻⁵
(2⁻⁵,100)	8.2649 × 10⁻⁷	14.9731
(2⁻⁶,100)	5.373923 × 10⁻⁸
(2⁻⁶,100)	5.373923 × 10⁻⁸	16.5665
(2⁻⁷,125)	3.418192 × 10⁻⁹

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