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On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension

Published online by Cambridge University Press:  03 June 2015

Xiantao Li  and
Pingbing Ming
Xiantao Li*
Affiliation:
Department of Mathematics, the Pennsylvania State University, University Park, Pennsylvania, 16802, USA
Pingbing Ming*
Affiliation:
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, No. 55, East Road Zhong-Guan-Cun, Beijing, 100190, P.R. China
*
Email:xli@math.psu.edu
Corresponding author.Email:mpb@lsec.cc.ac.cn
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Abstract

Numerical error caused by “ghost forces” in a quasicontinuum method is studied in the context of dynamic problems. The error in the discrete W1,∞ norm is analyzed for the time scale (ε) and the time scale (1) with ε being the lattice spacing.

Keywords

65N1574G1570E55Quasicontinuum methodsghost forcedynamic problems
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 3 , March 2014 , pp. 647 - 676
Copyright
Copyright © Global Science Press Limited 2014

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