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

	A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid
	Chen, Yuyan 1; Zhang, Shuo2
	2017-10-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	323 页码:53-70
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.
关键词	Incompressible Stokes problem Nearly incompressible linear elasticity problem Stable finite element Conservative
DOI	10.1016/j.cam.2017.04.011
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000402213000004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25659
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.