Local and parallel finite element algorithms for the Stokes problem

doi:10.1007/s00211-008-0141-2

	Local and parallel finite element algorithms for the Stokes problem
	He, Yinnian 2; Xu, Jinchao 1,3; Zhou, Aihui4 ; Li, Jian 2
	2008-05-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	109 期号:3 页码:415-434
摘要	Based on two-grid discretizations, some local and parallel finite element algorithms for the Stokes problem are proposed and analyzed in this paper. These algorithms are motivated by the observation that for a solution to the Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One technical tool for the analysis is some local a priori estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.
DOI	10.1007/s00211-008-0141-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000257381800004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6434
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Jinchao
作者单位	1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China 3.Peking Univ, Sch Math Sci, Lab Pure & Appl Math, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, Yinnian,Xu, Jinchao,Zhou, Aihui,et al. Local and parallel finite element algorithms for the Stokes problem[J]. NUMERISCHE MATHEMATIK,2008,109(3):415-434.
APA	He, Yinnian,Xu, Jinchao,Zhou, Aihui,&Li, Jian.(2008).Local and parallel finite element algorithms for the Stokes problem.NUMERISCHE MATHEMATIK,109(3),415-434.
MLA	He, Yinnian,et al."Local and parallel finite element algorithms for the Stokes problem".NUMERISCHE MATHEMATIK 109.3(2008):415-434.