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Preconditioners for higher order edge finite element discretizations of Maxwell's equations

文献类型：期刊论文

作者Zhong LiuQiang1,2; Shu Shi1,2; Sun Dudu3; Tan Lin4
刊名SCIENCE IN CHINA SERIES A-MATHEMATICS
出版日期2008-08-01
卷号51期号:8页码:1537-1548
关键词preconditioner higher order edge finite element stable decomposition
ISSN号1006-9283
DOI10.1007/s11425-008-0098-8
英文摘要In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell's equations. We present the preconditioners for the first family and second family of higher order Nedelec element equations, respectively. By combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also present some numerical experiments to demonstrate the theoretical results.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000258074400015
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6898]  
专题中国科学院数学与系统科学研究院
通讯作者Shu Shi
作者单位1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
2.Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China
3.Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
4.Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China
推荐引用方式
GB/T 7714		 Zhong LiuQiang,Shu Shi,Sun Dudu,et al. Preconditioners for higher order edge finite element discretizations of Maxwell's equations[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(8):1537-1548.
APA Zhong LiuQiang,Shu Shi,Sun Dudu,&Tan Lin.(2008).Preconditioners for higher order edge finite element discretizations of Maxwell's equations.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(8),1537-1548.
MLA Zhong LiuQiang,et al."Preconditioners for higher order edge finite element discretizations of Maxwell's equations".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.8(2008):1537-1548.

入库方式： OAI收割

来源：数学与系统科学研究院

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