Normal and tangential continuous elements for least-squares mixed finite element methods

doi:10.1002/num.20002

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	Normal and tangential continuous elements for least-squares mixed finite element methods
	Duan, HY; Liang, GP
	2004-07-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	20 期号:4 页码:609-623
摘要	We consider a finite element discretization of the primal first-order least-squares mixed formulation of the second-order elliptic problem. The unknown variables are displacement and flux, which are approximated by equal-order elements of the usual continuous element and the normal continuous element, respectively. We show that the error bounds for all variables are optimal. In addition, a field-based least-squares finite element method is proposed for the 3D-magnetostatic problem, where both magnetic field and magnetic flux are taken as two independent variables which are approximated by the tangential continuous and the normal continuous elements, respectively. Coerciveness and optimal error bounds are obtained. (C) 2004 Wiley Periodicals, Inc.
关键词	least-squares mixed finite element method second-order elliptic problem normal or tangential continuous element magnetostatic problem
DOI	10.1002/num.20002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000222022400006
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/777
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HY
作者单位	Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HY,Liang, GP. Normal and tangential continuous elements for least-squares mixed finite element methods[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2004,20(4):609-623.
APA	Duan, HY,&Liang, GP.(2004).Normal and tangential continuous elements for least-squares mixed finite element methods.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,20(4),609-623.
MLA	Duan, HY,et al."Normal and tangential continuous elements for least-squares mixed finite element methods".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 20.4(2004):609-623.