A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities

DOI10.1007/978-1-4020-5678-9_13zbMath1130.65105OpenAlexW185561167MaRDI QIDQ5433955

Adiguzel A. Dosiyev, S. Cival Buranay

Publication date: 9 January 2008

Published in: Mathematical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-5678-9_13

zbMATH Keywords

error estimates singularities numerical experiments mixed boundary value problem Laplace's equation difference-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 (5)

Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation ⋮ The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity ⋮ 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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