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 Error analysis for momentum conservation in Atomic-Continuum Coupled Model Yang, Yantao; Cui, Junzhi; Han, Tiansi 2016-08-01 Source Publication COMPUTATIONAL MECHANICS ISSN 0178-7675 Volume 58Issue:2Pages:199-211 Abstract 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. Keyword ACCM Multiscale method Momentum conservation Error analysis DOI 10.1007/s00466-016-1289-8 Language 英语 Funding Project 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 Research Area Mathematics ; Mechanics WOS Subject Mathematics, Interdisciplinary Applications ; Mechanics WOS ID WOS:000379322400002 Publisher SPRINGER Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/23071 Collection 计算数学与科学工程计算研究所 Corresponding Author Yang, Yantao Affiliation Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China Recommended CitationGB/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.
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