A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations
文献类型：期刊论文
| 作者 | Liu, WB; Ma, HP; Tang, T; Yan, NN
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2004 |
| 卷号 | 42期号:3页码:1032-1061 |
| 关键词 | optimal control a posteriori error analysis finite element approximation discontinuous Galerkin method |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/S0036142902397090 |
| 英文摘要 | In this paper, we examine the discontinuous Galerkin (DG) finite element approximation to convex distributed optimal control problems governed by linear parabolic equations, where the discontinuous finite element method is used for the time discretization and the conforming finite element method is used for the space discretization. We derive a posteriori error estimates for both the state and the control approximation, assuming only that the underlying mesh in space is nondegenerate. For problems with control constraints of obstacle type, which are the kind most frequently met in applications, further improved error estimates are obtained. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225887500008 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19570]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Liu, WB |
| 作者单位 | 1.Xiangtan Univ, Dept Math, Xiangtan 411100, Peoples R China 2.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China 4.Hong Kong Baptist univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, WB,Ma, HP,Tang, T,et al. A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2004,42(3):1032-1061. |
| APA | Liu, WB,Ma, HP,Tang, T,&Yan, NN.(2004).A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,42(3),1032-1061. |
| MLA | Liu, WB,et al."A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 42.3(2004):1032-1061. |
入库方式： OAI收割
来源：数学与系统科学研究院
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