Year: 2014
Author: Shaoqiang Tang, Songsong Ji
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 539–551
Abstract
We explore the stability of matching boundary conditions in one space dimension, which was proposed recently for atomic simulations (Wang and Tang, Int. J. Numer. Mech. Eng., 93 (2013), pp. 1255-1285). For a finite segment of the linear harmonic chain, we construct explicit energy functionals that decay along with time. For a nonlinear atomic chain with its nonlinearity vanished around the boundaries, an energy functional is constructed for the first order matching boundary condition. Numerical verifications are also presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m360
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 539–551
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Stability matching boundary condition atomic simulation.