A posteriori error estimates of recovery type for distributed convex optimal control problems
文献类型：期刊论文
| 作者 | Li, Ruo; Liu, Wenbin; Yan, Ningning |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2007-11-01 |
| 卷号 | 33期号:2页码:155-182 |
| 关键词 | distributed optimal control problems finite element approximation superconvergence a posteriori error estimator |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-007-9147-7 |
| 英文摘要 | In this paper, we derive a posteriori error estimates of recovery type, and present the superconvergence analysis for the finite element approximation of distributed convex optimal control problems. We provide a posteriori error estimates of recovery type for both the control and the state approximation, which are generally equivalent. Under some stronger assumptions, they are further shown to be asymptotically exact. Such estimates, which are apparently not available in the literature, can be used to construct adaptive finite element approximation schemes and as a reliability bound for the control problems. Numerical results demonstrating our theoretical results are also presented in this paper. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000249731100003 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4676]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Ruo |
| 作者单位 | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Univ Kent, KBS, Inst Math & Stat, Canterbury CT2 7NF, Kent, England 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Ruo,Liu, Wenbin,Yan, Ningning. A posteriori error estimates of recovery type for distributed convex optimal control problems[J]. JOURNAL OF SCIENTIFIC COMPUTING,2007,33(2):155-182. |
| APA | Li, Ruo,Liu, Wenbin,&Yan, Ningning.(2007).A posteriori error estimates of recovery type for distributed convex optimal control problems.JOURNAL OF SCIENTIFIC COMPUTING,33(2),155-182. |
| MLA | Li, Ruo,et al."A posteriori error estimates of recovery type for distributed convex optimal control problems".JOURNAL OF SCIENTIFIC COMPUTING 33.2(2007):155-182. |
入库方式： OAI收割
来源：数学与系统科学研究院
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