KMS Of Academy of mathematics and systems sciences, CAS
| A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations | |
Yan, Ningning ; Zhou, Zhaojie
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| 2009-11-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
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| ISSN | 0885-7474 |
| Volume | 41Issue:2Pages:273-299 |
| Abstract | 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. |
| Keyword | 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 |
| DOI | 10.1007/s10915-009-9297-x |
| Language | 英语 |
| Funding Project | National Basic Research Program[2005CB321701] ; National Natural Science Foundation of China[10771211] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000270670100006 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7890 |
| Collection | 系统科学研究所 |
| Corresponding Author | Zhou, Zhaojie |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Syst Sci, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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