Positive Definiteness of the Blended Force-Based Quasicontinuum Method
نویسندگان
چکیده
منابع مشابه
Positive Definiteness of the Blended Force-Based Quasicontinuum Method
The development of consistent and stable quasicontinuum models for multidimensional crystalline solids remains a challenge. For example, proving the stability of the force-based quasicontinuum (QCF) model [M. Dobson and M. Luskin, M2AN Math. Model. Numer. Anal., 42 (2008), pp. 113–139] remains an open problem. In one and two dimensions, we show that by blending atomistic and Cauchy–Born continu...
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Article history: Received 5 April 2013 Received in revised form 27 August 2013 Accepted 7 October 2013 Available online 28 October 2013
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2012
ISSN: 1540-3459,1540-3467
DOI: 10.1137/110859270