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Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems
Duan, HY
2000
Source PublicationCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN0045-7825
Volume188Issue:1-3Pages:257-268
AbstractBased 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.
Keywordsaddle point problem Riesz-representing operator stabilized mixed finite element method local bubble functions the Stokes equation
Language英语
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000088661700016
PublisherELSEVIER SCIENCE SA
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15111
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
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.
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