Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method

doi:10.1007/s10444-007-9047-2

	Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method
	Xie, Hehu
	2008-08-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	29 期号:2 页码:135-145
摘要	In this paper, we use the integral-identity argument to obtain asymptotic error expansions for the mixed finite element approximation of the Maxwell equations on a rectangular mesh. The extrapolation method is applied to improve the accuracy of the approximation via an interpolation postprocessing technique. With the extrapolation, the approximation accuracy can be improved from O(h) to O(h(4)) in the L-2-norm. Illustrative numerical results are given to demonstrate the higher order accuracy of the extrapolation method.
关键词	Maxwell equations mixed finite element methods Nedelec elements interpolation postprocessing extrapolation
DOI	10.1007/s10444-007-9047-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000257587300003
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/5609
专题	计算数学与科学工程计算研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu. Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,29(2):135-145.
APA	Xie, Hehu.(2008).Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method.ADVANCES IN COMPUTATIONAL MATHEMATICS,29(2),135-145.
MLA	Xie, Hehu."Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method".ADVANCES IN COMPUTATIONAL MATHEMATICS 29.2(2008):135-145.