A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons

zbMath0832.65113MaRDI QIDQ1903893

A. A. Dosiev

Publication date: 5 March 1996

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemerror boundLaplace equationblock-grid methoddifference-analytical method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation ⋮ A method of harmonic extension for computing the generalized stress intensity factors for Laplace's equation with singularities ⋮ The block-grid method for the approximation of the pure second order derivatives for the solution of Laplace's equation on a staircase polygon ⋮ The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity ⋮ Block method for problems on L-shaped domains ⋮ A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities ⋮ A fourth-order block-grid method for solving Laplace's equation on a staircase polygon with boundary functions in \(C^{k, \lambda}\) ⋮ Analysis of the block-grid method for the solution of Laplace's equation on polygons with a slit

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