An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems
文献类型：期刊论文
| 作者 | Chen, ZM; Zou, J |
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 1999-04-13 |
| 卷号 | 37期号:3页码:892-910 |
| 关键词 | parameter identification elliptic system augmented Lagrangian finite element method |
| ISSN号 | 0363-0129 |
| 英文摘要 | The identification of discontinuous parameters in elliptic systems is formulated as a constrained minimization problem combining the output least squares and the equation error method. The minimization problem is then proved to be equivalent to the saddle-point problem of an augmented Lagrangian. The finite element method is used to discretize the saddle-point problem, and the convergence of the discretization is also proved. Finally, an Uzawa algorithm is suggested for solving the discrete saddle-point problem and is shown to be globally convergent. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079662600011 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14753]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZM |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, NT, Hong Kong |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Zou, J. An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(3):892-910. |
| APA | Chen, ZM,&Zou, J.(1999).An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(3),892-910. |
| MLA | Chen, ZM,et al."An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.3(1999):892-910. |
入库方式： OAI收割
来源：数学与系统科学研究院
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