OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS
文献类型：期刊论文
| 作者 | Tan, Zhiyu1; Gong, Wei2 ; Yan, Ningning3
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| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2017 |
| 卷号 | 14期号:4-5页码:550-570 |
| 关键词 | Overlapping domain decomposition method elliptic optimal control problem preconditioned MINRES method preconditioned GMRES method |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we propose several overlapping domain decomposition preconditioners for solving the unconstrained elliptic optimal control problem, based on the two level additive Schwarz algorithm. We consider the cases with controls on the whole domain and controls from a local subset. The latter case can be viewed as the subproblems when we solve the control-constrained control problem by using semi-smooth Newton method. When the controls act on the whole domain, we construct a symmetric and positive definite preconditioner which is proved to be robust combined with preconditioned MINRES method, and a symmetric and indefinite preconditioner which can be used in the preconditioned GMRES method and shows better numerical performance than the positive definite one. When the controls act on a local subset, we also construct a similar symmetric and indefinite preconditioner, the numerical experiments show its efficiency when combined with preconditioned GMRES method. |
| 资助项目 | National Natural Science Foundation of China[11201464] ; National Natural Science Foundation of China[11671391] ; National Natural Science Foundation of China[91530204] ; National Natural Science Foundation of China[11571356] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000408158100005 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26492]  |
| 专题 | 计算数学与科学工程计算研究所 系统科学研究所 |
| 通讯作者 | Tan, Zhiyu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS,LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, NCMIS,LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tan, Zhiyu,Gong, Wei,Yan, Ningning. OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2017,14(4-5):550-570. |
| APA | Tan, Zhiyu,Gong, Wei,&Yan, Ningning.(2017).OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,14(4-5),550-570. |
| MLA | Tan, Zhiyu,et al."OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 14.4-5(2017):550-570. |
入库方式： OAI收割
来源：数学与系统科学研究院
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