Error analysis of approximate operators for a particle method based on Voronoi diagram

被引：0

作者：

Koba, Hajime ^{[1
]}

Sato, Kazuki ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, 1-3 Machikaneyamacho, Toyonaka, Osaka 5608531, Japan

来源：

ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2023年 / 43卷 / 04期

关键词：

Error analysis; error estimates; particle method; Voronoi diagram; Voronoi decomposition;

D O I：

10.1515/anly-2022-1104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers several approximate operators used in a particle method based on a Voronoi diagram. We introduce and study our approximate operators on gradient and Laplace operators. We derive error estimates for these approximate operators by applying our weight functions. The key idea of deriving our error estimates is to divide the integration region into a ring-shaped area and some areas. In the appendix, we give an exemplary application of the main results of this paper.

引用

页码：267 / 283

页数：17