Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems

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	Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems
	Duan, HY
	2000
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	188 期号:1-3 页码:257-268
摘要	Based on Riesz-representing operators, a new stabilized finite element method is presented for saddle point problems. It is proved that this method is not subject to the discrete Babuska-Brezzi condition, and that the corresponding finite element approximation problem yields a symmetrically positively definite linear system. Error bounds are obtained which are agree with the interpolation properties. As an application, the stationary Stokes problem is analyzed. (C) 2000 Elsevier Science S.A. All rights reserved. MSC: 65N30.
关键词	saddle point problem Riesz-representing operator stabilized mixed finite element method local bubble functions the Stokes equation
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000088661700016
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15111
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HY
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HY. Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2000,188(1-3):257-268.
APA	Duan, HY.(2000).Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,188(1-3),257-268.
MLA	Duan, HY."Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 188.1-3(2000):257-268.