Error analysis for momentum conservation in Atomic-Continuum Coupled Model

doi:10.1007/s00466-016-1289-8

	Error analysis for momentum conservation in Atomic-Continuum Coupled Model
	Yang, Yantao; Cui, Junzhi; Han, Tiansi
	2016-08-01
发表期刊	COMPUTATIONAL MECHANICS
ISSN	0178-7675
卷号	58 期号:2 页码:199-211
摘要	Atomic-Continuum Coupled Model (ACCM) is a multiscale computation model proposed by Xiang et al. (in IOP conference series materials science and engineering, 2010), which is used to study and simulate dynamics and thermal-mechanical coupling behavior of crystal materials, especially metallic crystals. In this paper, we construct a set of interpolation basis functions for the common BCC and FCC lattices, respectively, implementing the computation of ACCM. Based on this interpolation approximation, we give a rigorous mathematical analysis of the error of momentum conservation equation introduced by ACCM, and derive a sequence of inequalities that bound the error. Numerical experiment is carried out to verify our result.
关键词	ACCM Multiscale method Momentum conservation Error analysis
DOI	10.1007/s00466-016-1289-8
语种	英语
资助项目	National Basic Research Program of China (973 Program)[2012CB025904] ; National Natural Science Foundation of China[11102221] ; State Key Laboratory of Science and Engineering Computing (LSEC)
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000379322400002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23071
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Yantao
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Yantao,Cui, Junzhi,Han, Tiansi. Error analysis for momentum conservation in Atomic-Continuum Coupled Model[J]. COMPUTATIONAL MECHANICS,2016,58(2):199-211.
APA	Yang, Yantao,Cui, Junzhi,&Han, Tiansi.(2016).Error analysis for momentum conservation in Atomic-Continuum Coupled Model.COMPUTATIONAL MECHANICS,58(2),199-211.
MLA	Yang, Yantao,et al."Error analysis for momentum conservation in Atomic-Continuum Coupled Model".COMPUTATIONAL MECHANICS 58.2(2016):199-211.