A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
文献类型：期刊论文
| 作者 | Yan, Ningning; Zhou, Zhaojie |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2009 |
| 卷号 | 223期号:1页码:198-217 |
| 关键词 | Constrained optimal-control problem Convection-dominated diffusion equation Edge-stabilization Galerkin method A priori error estimate A posteriori error estimate |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2008.01.006 |
| 英文摘要 | In this paper, we study an edge-stabilization Galerkin approximation sheme for the constrained optimal-control problem governed by convection-dominated diffusion equation. The method uses least-square stabilization of the gradient jumps across element edges. A priori and a posteriori error estimates are derived for both the state co-state and the control. The theoretical results are illustrated by two numerical experiment. (C) Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261041100016 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8006]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Zhaojie |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 10080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Ningning,Zhou, Zhaojie. A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,223(1):198-217. |
| APA | Yan, Ningning,&Zhou, Zhaojie.(2009).A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,223(1),198-217. |
| MLA | Yan, Ningning,et al."A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 223.1(2009):198-217. |
入库方式： OAI收割
来源：数学与系统科学研究院
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