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H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model

文献类型：期刊论文

作者Li, Hongliang1; Ming, Pingbing2,3; Wang, Huiyu4
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2021-09-01
卷号88期号:3页码:23
关键词Strain gradient elasticity H2-Korn's Robust finite elements
ISSN号0885-7474
DOI10.1007/s10915-021-01597-7
英文摘要We establish a new H2-Korn's inequality and its discrete analog, which greatly simplify the construction of nonconforming elements for a linear strain gradient elastic model. The Specht triangle (Specht in Int J Numer Methods Eng 28:705-715, 1988) and the NZT tetrahedron (Wang et al. in Numer Math 106:335-347, 2007) are analyzed as two typical representatives for robust nonconforming elements in the sense that the rate of convergence is independent of the small material parameter. We construct the regularized interpolation operators and the enriching operators for both elements, and prove the error estimates under minimal smoothness assumption on the solution. Numerical results for the smooth solution, and the solution with boundary layer are consistent with the corresponding theoretical prediction.
资助项目National Natural Science Foundation of China[11971467] ; Beijing Academy of Artificial Intelligence (BAAI)
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000692355900001
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59208]  
专题中国科学院数学与系统科学研究院
通讯作者Ming, Pingbing
作者单位1.Sichuan Normal Univ, Sch Math & Sci, Chengdu 610066, Peoples R China
2.AMSS Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, 55 East Rd Zhong Guan Cun, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Beijing 101 Middle Sch, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Li, Hongliang,Ming, Pingbing,Wang, Huiyu. H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,88(3):23.
APA Li, Hongliang,Ming, Pingbing,&Wang, Huiyu.(2021).H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model.JOURNAL OF SCIENTIFIC COMPUTING,88(3),23.
MLA Li, Hongliang,et al."H2-Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model".JOURNAL OF SCIENTIFIC COMPUTING 88.3(2021):23.

入库方式： OAI收割

来源：数学与系统科学研究院

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