A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid

doi:10.1016/j.cam.2017.04.011

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 conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid
	Chen, Yuyan 1; Zhang, Shuo2
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2017-10-15
卷号	323 页码:53-70
关键词	Incompressible Stokes problem Nearly incompressible linear elasticity problem Stable finite element Conservative
ISSN号	0377-0427
DOI	10.1016/j.cam.2017.04.011
英文摘要	In this paper, we discuss finite element methods for the incompressible Stokes problem and the nearly incompressible linear elasticity problem. Specifically, we present a finite element pair for the incompressible Stokes problem, which satisfies the discrete inf-sup condition and the discrete Korn's inequality, and moreover, which is element-wise conservative. The pair provides a locking-free method for the nearly incompressible linear elasticity problem without reduced integration. (C) 2017 Elsevier B.V. All rights reserved.
资助项目	National Science Foundation of China (NSFC)[NSFC 91430215] ; NSFC[11101415] ; NSFC[11471026] ; SRF for ROCS, SEM, China
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000402213000004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25658]
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Shuo
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yuyan,Zhang, Shuo. A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,323:53-70.
APA	Chen, Yuyan,&Zhang, Shuo.(2017).A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,323,53-70.
MLA	Chen, Yuyan,et al."A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 323(2017):53-70.