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

doi:10.1007/s10444-019-09737-2

CSpace

	Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number
	Lu, Peipei 1; Wu, Haijun 2; Xu, Xuejun 3,4
	2019-11-29
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
页码	27
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.
关键词	Time-harmonic Maxwell equation High wave number Continuous interior penalty finite element method Error estimates
DOI	10.1007/s10444-019-09737-2
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671302] ; National Natural Science Foundation of China[11871272]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000499603200006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50351
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.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200442, 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.