Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
文献类型：期刊论文
| 作者 | Gong, Wei1,3; Hu, Weiwei2; Mateos, Mariano6; Singler, John R.5; Zhang, Yangwen4 |
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2020-11-03 |
| 卷号 | 54期号:6页码:2229-2264 |
| ISSN号 | 0764-583X |
| 关键词 | Tangential Dirichlet boundary control Stokes equations hybridizable discontinuous Galerkin method |
| DOI | 10.1051/m2an/2020015 |
| 英文摘要 | We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes equations with an L-2 penalty on the boundary control. The contribution of this paper is twofold. First, we obtain well-posedness and regularity results for the tangential Dirichlet control problem on a convex polygonal domain. The analysis contains new features not found in similar Dirichlet control problems for the Poisson equation; an interesting result is that the optimal control has higher local regularity on the individual edges of the domain compared to the global regularity on the entire boundary. Second, we propose and analyze a hybridizable discontinuous Galerkin (HDG) method to approximate the solution. For convex polygonal domains, our theoretical convergence rate for the control is optimal with respect to the global regularity on the entire boundary. We present numerical experiments to demonstrate the performance of the HDG method. |
| 资助项目 | National Natural Science Foundation of China[11671391] ; National Natural Science Foundation of China[91530204] ; National Key Basic Research Program[2018YFB0704304] ; NSF[DMS-1813570] ; Spanish Ministerio de Economia y Competitividad[MTM2017-83185-P] ; National Science Foundation[DMS-1217122] ; US National Science Foundation (NSF)[DMS-1217122] ; US National Science Foundation (NSF)[DMS-1619904] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | EDP SCIENCES S A |
| WOS记录号 | WOS:000585906800003 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52427]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Singler, John R. |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Univ Georgia, Dept Math, Athens, GA 30602 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS, Beijing 100190, Peoples R China 4.Univ Delaware, Dept Math Sci, Newark, DE 19716 USA 5.Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA 6.Univ Oviedo, Dept Matemat, Campus Gijon, Gijon, Spain |
| 推荐引用方式 GB/T 7714 | Gong, Wei,Hu, Weiwei,Mateos, Mariano,et al. Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2020,54(6):2229-2264. |
| APA | Gong, Wei,Hu, Weiwei,Mateos, Mariano,Singler, John R.,&Zhang, Yangwen.(2020).Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,54(6),2229-2264. |
| MLA | Gong, Wei,et al."Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 54.6(2020):2229-2264. |
入库方式： OAI收割
来源：数学与系统科学研究院
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