JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
Truncation error estimates of approximate differential operators of a particle method based on the Voronoi decomposition
Yusuke ImotoDaisuke Tagami
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2017 年 9 巻 p. 69-72

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Truncation errors are considered for approximate differential operators with a class of particle methods. Introducing sufficient conditions for the weight function and a regularity of the family of discrete parameters leads to truncation error estimates of approximate gradient and Laplace operators with a particle method based on the Voronoi decomposition. Moreover, some numerical results agree well with theoretical ones.

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© 2017, The Japan Society for Industrial and Applied Mathematics
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