Stability of Atomic Simulations with Matching Boundary Conditions

doi:10.4208/aamm.2013.m360

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	Stability of Atomic Simulations with Matching Boundary Conditions
	Tang, Shaoqiang ; Ji, Songsong
刊名	advances in applied mathematics and mechanics
	2014
关键词	Stability matching boundary condition atomic simulation INTERFACIAL CONDITIONS MULTISCALE COMPUTATIONS LATTICE
DOI	10.4208/aamm.2013.m360
英文摘要	We explore the stability of matching boundary conditions in one space dimension, which were 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.; Mathematics, Applied; Mechanics; SCI(E); 0; ARTICLE; maotang@pku.edu.cn; songsong.0211@163.com; 5; 539-551; 6
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/315757]
专题	工学院
推荐引用方式 GB/T 7714	Tang, Shaoqiang,Ji, Songsong. Stability of Atomic Simulations with Matching Boundary Conditions[J]. advances in applied mathematics and mechanics,2014.
APA	Tang, Shaoqiang,&Ji, Songsong.(2014).Stability of Atomic Simulations with Matching Boundary Conditions.advances in applied mathematics and mechanics.
MLA	Tang, Shaoqiang,et al."Stability of Atomic Simulations with Matching Boundary Conditions".advances in applied mathematics and mechanics (2014).