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

Adiguzel A. Dosiyev (Lead / Corresponding author), Emine Celiker

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.
Original languageEnglish
Article number73
Number of pages19
JournalBoundary Value Problems
Volume2014
DOIs
Publication statusPublished - 28 Mar 2014

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