A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

doi:10.4208/aamm.OA-2018-0268

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
	Liao, Yulei 1; Ming, Pingbing2,3
刊名	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
	2019-12-01
卷号	11 期号:6 页码:1263-1286
关键词	Nonconforming finite elements strain gradient elasticity uniform error estimate
ISSN号	2070-0733
DOI	10.4208/aamm.OA-2018-0268
英文摘要	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.
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
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000487977100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35736]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.AMSS Chinese Acad Sci, LSEC, Inst Computat Math, 55 East Rd Zhongguancun, Beijing 100190, 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.