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Error analysis for momentum conservation in Atomic-Continuum Coupled Model

文献类型：期刊论文

作者Yang, Yantao; Cui, Junzhi; Han, Tiansi
刊名COMPUTATIONAL MECHANICS
出版日期2016-08-01
卷号58期号:2页码:199-211
关键词ACCM Multiscale method Momentum conservation Error analysis
ISSN号0178-7675
DOI10.1007/s00466-016-1289-8
英文摘要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.
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
语种英语
WOS记录号WOS:000379322400002
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23070]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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