KMS Of Academy of mathematics and systems sciences, CAS
| Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems | |
| Duan, HY | |
| 2000 | |
| Source Publication | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| ISSN | 0045-7825 |
| Volume | 188Issue:1-3Pages:257-268 |
| Abstract | 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. |
| Keyword | saddle point problem Riesz-representing operator stabilized mixed finite element method local bubble functions the Stokes equation |
| Language | 英语 |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000088661700016 |
| Publisher | ELSEVIER SCIENCE SA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/15111 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Duan, HY |
| Affiliation | Chinese 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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