Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations
文献类型：期刊论文
| 作者 | Liu, Huipo1; Yan, Ningning2 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2007-12-15 |
| 卷号 | 209期号:2页码:187-207 |
| 关键词 | optimal control Stokes equations finite element methods superconvergence recovery |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2006.10.083 |
| 英文摘要 | In this paper, we derive recovery type superconvergence analysis and a posteriori error estimates for the finite element approximation of the distributed optimal control governed by Stokes equations. We obtain superconvergence results and asymptotically exact a posteriori error estimates by applying two recovery methods, which are the patch recovery technique and the least-squares surface fitting method. Our results are based on some regularity assumption for the Stokes control problems and are applicable to the first order conforming finite element method with regular but nonuniform partitions. (C) 2006 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253502800007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5116]  |
| 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.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Huipo,Yan, Ningning. Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2007,209(2):187-207. |
| APA | Liu, Huipo,&Yan, Ningning.(2007).Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,209(2),187-207. |
| MLA | Liu, Huipo,et al."Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 209.2(2007):187-207. |
入库方式： OAI收割
来源：数学与系统科学研究院
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