On the consistency and convergence of particle-based meshfree discretization schemes for the Laplace operator

Tasuku Tamai*, Kouhei Murotani, Seiichi Koshizuka

*この研究の対応する著者

研究成果: Article査読

22 被引用数 (Scopus)

抄録

The Laplace operator appears in the governing equations of continua describes dissipative dynamics, and it also emerges in some second order partial differential equations such as the Poisson equation. In this paper, accuracy and its convergence rates of some meshfree discretization schemes for the Laplace operator are studied as a verification. Moreover, a novel meshfree discretization scheme for the second order differential operator which enables us to use smaller dilation parameter of the compact support of the weight function is proposed, and its application for the meshfree discretization of the Poisson equation demonstrates an improvement of the solution accuracy.

本文言語English
ページ(範囲)79-85
ページ数7
ジャーナルComputers and Fluids
142
DOI
出版ステータスPublished - 2017 1 5
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンス(全般)
  • 工学(全般)

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