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A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
Liao, Yulei1; Ming, Pingbing2,3
2019-12-01
Source PublicationADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN2070-0733
Volume11Issue:6Pages:1263-1286
AbstractWe propose a family of nonconforming rectangular elements for the linear strain gradient elastic model. Optimal error estimates uniformly with respect to the small material parameter have been proved. Numerical results confirm the theoretical prediction.
KeywordNonconforming finite elements strain gradient elasticity uniform error estimate
DOI10.4208/aamm.OA-2018-0268
Language英语
Funding ProjectNational Natural Science Foundation of China for Distinguished Young Scholars[11425106] ; National Natural Science Foundation of China[91630313] ; CAS NCMIS
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000487977100001
PublisherGLOBAL SCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35737
Collection计算数学与科学工程计算研究所
Corresponding AuthorMing, Pingbing
Affiliation1.Renmin Univ China, Sch Math, 59 Zhongguancun St, Beijing 100872, Peoples R China
2.AMSS Chinese Acad Sci, LSEC, Inst Computat Math, 55 East Rd Zhongguancun, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Liao, Yulei,Ming, Pingbing. A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2019,11(6):1263-1286.
APA Liao, Yulei,&Ming, Pingbing.(2019).A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,11(6),1263-1286.
MLA Liao, Yulei,et al."A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 11.6(2019):1263-1286.
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