Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems
文献类型：期刊论文
| 作者 | Duan, HY |
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2000 |
| 卷号 | 188期号:1-3页码:257-268 |
| 关键词 | saddle point problem Riesz-representing operator stabilized mixed finite element method local bubble functions the Stokes equation |
| ISSN号 | 0045-7825 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000088661700016 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15110]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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