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. © 2014 Dosiyev and Celiker.
CITATION STYLE
Dosiyev, A. A., & Celiker, E. (2014). Approximation on the hexagonal grid of the dirichlet problem for laplace’s equation. Boundary Value Problems, 2014. https://doi.org/10.1186/1687-2770-2014-73
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