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Error analysis for momentum conservation in Atomic-Continuum Coupled Model
Yang, Yantao; Cui, Junzhi; Han, Tiansi
2016-08-01
Source PublicationCOMPUTATIONAL MECHANICS
ISSN0178-7675
Volume58Issue:2Pages:199-211
AbstractAtomic-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.
KeywordACCM Multiscale method Momentum conservation Error analysis
DOI10.1007/s00466-016-1289-8
Language英语
Funding ProjectNational 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 AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000379322400002
PublisherSPRINGER
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23071
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
Recommended Citation
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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