Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

doi:10.4208/cicp.OA-2017-0168

CORC > 上海财经大学 > 上海财经大学

	Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems
	Yan, Yue 1,2; Li, Weijia 2; Chen, Wenbin 2,3; Wang, Yanqiu 4
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	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.