A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3

	A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3
	Zheng, Bin 1; Hu, Qiya2 ; Xu, Jinchao 1
	2011-10-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	80 期号:276 页码:1871-1886
摘要	In this paper we present a nonconforming finite element method for solving fourth order curl equations in three dimensions arising from magnetohydrodynamics models. We show that the method has an optimal error estimate for a model problem involving both (del x)(2) and (del x)(4) operators. The element has a very small number of degrees of freedom, and it imposes the inter-element continuity along the tangential direction which is appropriate for the approximation of magnetic fields. We also provide explicit formulae of basis functions for this element.
语种	英语
资助项目	Natural Science Foundation of China[G11031006] ; Natural Science Foundation of China[G10771178] ; National Basic Research Program of China[G2011309702] ; National Science Foundation[DMS-0609727] ; National Science Foundation[DMS-0915153] ; Center for Computational Mathematics and Applications, Pennsylvania State University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000295194300001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11484
专题	计算数学与科学工程计算研究所
通讯作者	Zheng, Bin
作者单位	1.Penn State Univ, Dept Math, Ctr Computat Math & Applicat, University Pk, PA 16802 USA 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Bin,Hu, Qiya,Xu, Jinchao. A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3[J]. MATHEMATICS OF COMPUTATION,2011,80(276):1871-1886.
APA	Zheng, Bin,Hu, Qiya,&Xu, Jinchao.(2011).A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3.MATHEMATICS OF COMPUTATION,80(276),1871-1886.
MLA	Zheng, Bin,et al."A NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER CURL EQUATIONS IN R-3".MATHEMATICS OF COMPUTATION 80.276(2011):1871-1886.