VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS
文献类型：期刊论文
| 作者 | Hinze, Michael1; Yan, Ningning2 ; Zhou, Zhaojie2
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 27期号:2-3页码:237-253 |
| 关键词 | Constrained optimal control problem Convection dominated diffusion equation Edge stabilization Galerkin method Variational discretization A priori error estimate A posteriori error estimate |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we study variational discretization for the constrained optimal control problem governed by convection dominated diffusion equations, where the state equation is approximated by the edge stabilization Galerkin method. A priori error estimates are derived for the state, the adjoint state and the control. Moreover, residual type a posteriori error estimates in the L(2)-norm are obtained. Finally, two numerical experiments are presented to illustrate the theoretical results. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265073400008 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7342]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Hinze, Michael |
| 作者单位 | 1.Univ Hamburg, Dept Math, Hamburg, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hinze, Michael,Yan, Ningning,Zhou, Zhaojie. VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):237-253. |
| APA | Hinze, Michael,Yan, Ningning,&Zhou, Zhaojie.(2009).VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),237-253. |
| MLA | Hinze, Michael,et al."VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):237-253. |
入库方式： OAI收割
来源：数学与系统科学研究院
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