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Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number

文献类型：期刊论文

作者Lu, Peipei2; Wu, Haijun3; Xu, Xuejun1,4
刊名ADVANCES IN COMPUTATIONAL MATHEMATICS
出版日期2019-11-29
页码27
关键词Time-harmonic Maxwell equation High wave number Continuous interior penalty finite element method Error estimates
ISSN号1019-7168
DOI10.1007/s10444-019-09737-2
英文摘要In this paper, using the first-order Nedelec conforming edge element space of the second type, we develop and analyze a continuous interior penalty finite element method (CIP-FEM) for the time-harmonic Maxwell equation in the three-dimensional space. Compared with the standard finite element methods, the novelty of the proposed method is that we penalize the jumps of the tangential component of its vorticity field. It is proved that if the penalty parameter is a complex number with negative imaginary part, then the CIP-FEM is well-posed without any mesh constraint. The error estimates for the CIP-FEM are derived. Numerical experiments are presented to verify our theoretical results.
资助项目National Natural Science Foundation of China[11671302] ; National Natural Science Foundation of China[11871272]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000499603200006
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50350]  
专题中国科学院数学与系统科学研究院
通讯作者Lu, Peipei
作者单位1.Tongji Univ, Sch Math Sci, Shanghai 200442, Peoples R China
2.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
3.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Lu, Peipei,Wu, Haijun,Xu, Xuejun. Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2019:27.
APA Lu, Peipei,Wu, Haijun,&Xu, Xuejun.(2019).Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number.ADVANCES IN COMPUTATIONAL MATHEMATICS,27.
MLA Lu, Peipei,et al."Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number".ADVANCES IN COMPUTATIONAL MATHEMATICS (2019):27.

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来源：数学与系统科学研究院

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