Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation

DOI10.1186/1687-2770-2014-73zbMath1308.65182OpenAlexW2141603716WikidataQ59322678 ScholiaQ59322678MaRDI QIDQ472258

Adiguzel A. Dosiyev, Emine Celiker

Publication date: 19 November 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-73

zbMATH Keywords

numerical examplesingularityDirichlet boundary value problemLaplace's equationblock-grid methodhexagonal gridsinterpolation for harmonic functionsmatching operator

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped, A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities, Hexagonal grid approximation of the solution of the heat equation on special polygons

Cites Work

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