A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations
文献类型:期刊论文
| 作者 | Yan, Ningning ; Zhou, Zhaojie
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| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
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| 出版日期 | 2009-11-01 |
| 卷号 | 41期号:2页码:273-299 |
| 关键词 | Raviart-Thomas mixed FEM Discontinuous Galerkin method Convection dominated diffusion equations Constrained optimal control problem A priori error estimate A posteriori error estimate Adaptive finite element method |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-009-9297-x |
| 英文摘要 | In this paper, we provide a numerical scheme-RT mixed FEM/DG scheme for the constrained optimal control problem governed by convection dominated diffusion equations. A priori and a posteriori error estimates are obtained for both the state, the co-state and the control. The adaptive mesh refinement can be applied indicated by a posteriori error estimator provided in this paper. Numerical examples are presented to illustrate the theoretical analysis. |
| 资助项目 | National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771211] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270670100006 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7889] ![]() |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhou, Zhaojie |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Ningning,Zhou, Zhaojie. A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2009,41(2):273-299. |
| APA | Yan, Ningning,&Zhou, Zhaojie.(2009).A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations.JOURNAL OF SCIENTIFIC COMPUTING,41(2),273-299. |
| MLA | Yan, Ningning,et al."A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations".JOURNAL OF SCIENTIFIC COMPUTING 41.2(2009):273-299. |
入库方式: OAI收割
来源:数学与系统科学研究院
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