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

被引：0

作者：

Adiguzel A. Dosiyev

Emine Celiker

机构：

[1] Eastern Mediterranean University,Department of Mathematics

来源：

Boundary Value Problems | / 2014卷

关键词：

Laplace’s equation; Dirichlet boundary value problem; hexagonal grids; matching operator; interpolation for harmonic functions; singularity; Block-Grid method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The fourth order matching operator on the hexagonal grid is constructed. Its application to the interpolation problem of the numerical solution obtained by hexagonal grid approximation of Laplace’s equation on a rectangular domain is investigated. Furthermore, the constructed matching operator is applied to justify a hexagonal version of the combined Block-Grid method for the Dirichlet problem with corner singularity. Numerical examples are illustrated to support the analysis made.

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