Global superconvergence for optimal control problems governed by Stokes equations
文献类型：期刊论文
| 作者 | Liu, Huipo; Yan, Ningning |
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2006 |
| 卷号 | 3期号:3页码:283-302 |
| 关键词 | optimal control Stokes equations finite element approximation global superconvergence recovery a posteriori error estimate |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, the global superconvergence analysis for the finite element approximation of the distributed optimal control governed by Stokes equations is discussed. For the control, a global superconvergence result is derived by applying patch recovery technique. For the state and the co-state, the global superconvergence results are derived by applying some postprocessing techniques for the bilinear-constant scheme over the uniform rectangular meshes. Based on the global superconvergence analysis, recovery type a posteriori error estimates are derived. It is shown that the recovery type a posteriori error estimators provided in this paper are asymptotically exact if the conditions for the superconvergence are satisfied. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241069000004 |
| 出版者 | ISCI-INSTITUTE SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3102]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Huipo |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Huipo,Yan, Ningning. Global superconvergence for optimal control problems governed by Stokes equations[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2006,3(3):283-302. |
| APA | Liu, Huipo,&Yan, Ningning.(2006).Global superconvergence for optimal control problems governed by Stokes equations.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,3(3),283-302. |
| MLA | Liu, Huipo,et al."Global superconvergence for optimal control problems governed by Stokes equations".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 3.3(2006):283-302. |
入库方式： OAI收割
来源：数学与系统科学研究院
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