A truncation error estimate of the interpolant of a particle method based on the Voronoi decomposition-Reference-Cited by-同舟云学术

A truncation error estimate of the interpolant of a particle method based on the Voronoi decomposition

Published:2016 Issue:0 Volume:8 Page:29-32
ISSN:1883-0609
Container-title:JSIAM Letters
language:en
Short-container-title:JSIAM Letters

Author:

Imoto Yusuke¹,Tagami Daisuke²

Affiliation:

1. Graduate School of Mathematics, Kyushu University

2. Institute of Mathematics for Industry, Kyushu University

Publisher

The Japan Society for Industrial and Applied Mathematics

Link

https://www.jstage.jst.go.jp/article/jsiaml/8/0/8_29/_pdf

Reference8 articles.

1. 1) M. B. Liu and G. R. Liu, Smoothed particle hydrodynamics (SPH): an overview and recent developments, Arch. Comput. Methods Eng., 17 (2010), 25-76.

2. 2) S. Koshizuka and Y. Oka, Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nucl. Sci. Eng., 123 (1996), 421-434.

3. 3) P.-A. Raviart, An analysis of particle methods, in: Proc. of 3rd 1983 Session of CIME, F. Brezzi ed., Lecture Notes in Math., Vol. 1127, pp. 243-324, Springer-Verlag, Berlin, 1985.

4. 4) B. Ben Moussa and J. Vila, Convergence of SPH method for scalar nonlinear conservation laws, SIAM J. Numer. Anal., 37 (2000), 863-887.

5. 5) B. Ben Moussa, On the convergence of SPH method for scalar conservation laws with boundary conditions, Methods Appl. Anal., 13 (2006), 29-62.

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