Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems | |
Yan, Yue1,2; Li, Weijia2; Chen, Wenbin2,3; Wang, Yanqiu4 | |
刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
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2018-08 | |
卷号 | 24期号:2页码:510-530 |
关键词 | Fourth-order elliptic problems mixed finite element optimal convergence |
ISSN号 | 1815-2406 |
DOI | 10.4208/cicp.OA-2017-0168 |
英文摘要 | A Ciarlet-Raviart type mixed finite element approximation is constructed and analyzed for a class of fourth-order elliptic problems arising from solving various gradient systems. Optimal error estimates are obtained, using a super-closeness relation between the finite element solution and the Ritz projection of the PDE solution. Numerical results agree with the theoretical analysis. |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | GLOBAL SCIENCE PRESS |
WOS记录号 | WOS:000455954900009 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/546] ![]() |
专题 | 上海财经大学 |
通讯作者 | Wang, Yanqiu |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China; 3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China; 4.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China |
推荐引用方式 GB/T 7714 | Yan, Yue,Li, Weijia,Chen, Wenbin,et al. Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2018,24(2):510-530. |
APA | Yan, Yue,Li, Weijia,Chen, Wenbin,&Wang, Yanqiu.(2018).Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,24(2),510-530. |
MLA | Yan, Yue,et al."Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 24.2(2018):510-530. |
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