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

文献类型：期刊论文

作者Duan, HY; Liang, GP
刊名NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
出版日期2004-07-01
卷号20期号:4页码:609-623
关键词least-squares mixed finite element method second-order elliptic problem normal or tangential continuous element magnetostatic problem
ISSN号0749-159X
DOI10.1002/num.20002
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000222022400006
出版者JOHN WILEY & SONS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/776]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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