A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY
文献类型：期刊论文
| 作者 | Gong, Wei1,2 ; Hu, Weiwei3; Mateos, Mariano4; Singler, John; Zhang, Xiao5,6; Zhang, Yangwen
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| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2018 |
| 卷号 | 56期号:4页码:2262-2287 |
| 关键词 | Dirichlet boundary control hybridizable discontinuous Galerkin method (HDG) error analysis low regularity convection diffusion |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/17M1152103 |
| 英文摘要 | In the first part of this work, we analyzed an unconstrained Dirichlet boundary control problem for an elliptic convection diffusion PDE and proposed a new hybridizable discontinuous Galerkin (HDG) method to approximate the solution. For the case of a 2D convex polygonal domain, we also proved an optimal superlinear convergence rate for the control under certain assumptions on the domain and on the target state. In this work, we revisit the convergence analysis without these assumptions; in this case, the solution can have low regularity, and we use a different analysis approach. We again prove an optimal convergence rate for the control and present numerical results to illustrate the convergence theory. |
| 资助项目 | National Natural Science Foundation of China[11671391] ; National Natural Science Foundation of China[91530204] ; DIG ; FY 2018 ASR+1 Program at Oklahoma State University ; Spanish Ministerio de Economia y Competitividad[MTM2014-57531-P] ; Spanish Ministerio de Economia y Competitividad[MTM2017-83185-P] ; National Science Foundation[DMS-1217122] ; Institute for Mathematics and its Applications at the University of Minnesota |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000443291900012 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31185]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Gong, Wei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, NCMIS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.Oklahoma State Univ, Dept Math, Stillwater, OK 74075 USA 4.Univ Oviedo, Dept Matemat, Campus Gijon, Gijon 33203, Asturias, Spain 5.Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA 6.Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gong, Wei,Hu, Weiwei,Mateos, Mariano,et al. A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2018,56(4):2262-2287. |
| APA | Gong, Wei,Hu, Weiwei,Mateos, Mariano,Singler, John,Zhang, Xiao,&Zhang, Yangwen.(2018).A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY.SIAM JOURNAL ON NUMERICAL ANALYSIS,56(4),2262-2287. |
| MLA | Gong, Wei,et al."A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY".SIAM JOURNAL ON NUMERICAL ANALYSIS 56.4(2018):2262-2287. |
入库方式： OAI收割
来源：数学与系统科学研究院
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