Ortner, Christoph and Zhang, Lei (2016) Atomistic/Continuum blending with ghost force correction. SIAM Journal Scientific Computing, 38 (1). A346-A375. doi:10.1137/15M1020241 ISSN 1064-8275 .

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Abstract

We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an energy-based atomistic/continuum coupling scheme which has, for a range of benchmark problems, the same convergence rates as optimal force-based coupling schemes. We present the construction of this new scheme, numerical results exploring its accuracy in comparison with established schemes, and a rigorous error analysis for an instructive special case.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Continuum mechanics
Journal or Publication Title:	SIAM Journal Scientific Computing
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	1064-8275
Official Date:	2 February 2016
Dates:	Date Event 2 February 2016 Published 9 November 2015 Accepted 6 May 2015 Submitted
Volume:	38
Number:	1
Page Range:	A346-A375
DOI:	10.1137/15M1020241
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	2 March 2017
Date of first compliant Open Access:	2 March 2017
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC)
Grant number:	EP/H003096 (EPSRC), Grant 11471214 and 1000 Plan for Young Scientists (NSFC)
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