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

Koba, Hajime; Sato, Kazuki

Analysis, 2023, 43(4), 267-283

Number of Access:342（2025-11-05 06:39 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/91305

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Title
Error analysis of approximate operators for a particle method based on Voronoi diagram
Creator
NRID
1000080707729 1000080707729
ORCID
0000-0003-3116-4844 0000-0003-3116-4844
researchmap permalink
7000005057 7000005057
Scopus Author ID
56553244900 56553244900
CreatorName
Koba, Hajime
CreatorName
Sato, Kazuki
Subject
Error analysis
error estimates
particle method
Voronoi decomposition
Voronoi diagram
Description
The final publication is available at https://doi.org/10.1515/anly-2022-1104.
Abstract
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.
Publisher
Walter de Gruyter GmbH
Source Title
Analysis
Volume (Issue)
43(4)
Page
267-283
Date of Issued
2023-02-28
Language
English
Handle URL
https://hdl.handle.net/11094/91305
PISSN
01744747
eISSN
21966753
NCID
AA10625791
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.1515/anly-2022-1104
Access Rights
open access
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article