KMS Of Academy of mathematics and systems sciences, CAS
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. |
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