A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

doi:10.4208/aamm.OA-2018-0268

	A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
	Liao, Yulei 1; Ming, Pingbing2,3
	2019-12-01
发表期刊	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN	2070-0733
卷号	11 期号:6 页码:1263-1286
摘要	We 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.
关键词	Nonconforming finite elements strain gradient elasticity uniform error estimate
DOI	10.4208/aamm.OA-2018-0268
语种	英语
资助项目	National Natural Science Foundation of China for Distinguished Young Scholars[11425106] ; National Natural Science Foundation of China[91630313] ; CAS NCMIS
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000487977100001
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35737
专题	计算数学与科学工程计算研究所
通讯作者	Ming, Pingbing
作者单位	1.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
推荐引用方式 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.