Abstract
In the classic paper [1] it is proven that the mesh-functions obtained by solving a discrete analogue of the Dirichlet problem converge, as the mesh-width approaches zero, to a harmonic function which solves the Dirichlet problem in a somewhat generalized sense. More precisely, let the function f be continuously differentiable in a bounded plane domain G and continuous in the closure G of G, and let the Dirichlet integral
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