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Analysis of Geometrically Consistent Schemes with Finite Range Interaction
Li, Hongliang1; Ming, Pingbing2,3
2017-11-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume22Issue:5Pages:1333-1361
AbstractWe analyze the geometrically consistent schemes proposed by E. Lu and Yang [6] for one-dimensional problem with finite range interaction. The existence of the reconstruction coefficients is proved, and optimal error estimate is derived under sharp stability condition. Numerical experiments are performed to confirm the theoretical results.
KeywordQuasicontinuum method atomic-to-continuum coupling stability finite range interactions
DOI10.4208/cicp.OA-2017-0013
Language英语
Funding ProjectScience Challenge Project[TZ 2016003] ; National Natural Science Foundation of China[11425106] ; National Natural Science Foundation of China[91630313] ; CAS NCMIS
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000408436300006
PublisherGLOBAL SCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26426
Collection计算数学与科学工程计算研究所
Affiliation1.China Acad Engn Phys, Inst Elect Engn, Microsyst & Terahertz Res Ctr, Mianyang 621900, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 55 East Rd Zhong Guan Cun, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Hongliang,Ming, Pingbing. Analysis of Geometrically Consistent Schemes with Finite Range Interaction[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,22(5):1333-1361.
APA Li, Hongliang,&Ming, Pingbing.(2017).Analysis of Geometrically Consistent Schemes with Finite Range Interaction.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,22(5),1333-1361.
MLA Li, Hongliang,et al."Analysis of Geometrically Consistent Schemes with Finite Range Interaction".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 22.5(2017):1333-1361.
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