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

doi:10.1007/s10444-007-9047-2

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method
	Xie, Hehu
刊名	ADVANCES IN COMPUTATIONAL MATHEMATICS
	2008-08-01
卷号	29 期号:2 页码:135-145
关键词	Maxwell equations mixed finite element methods Nedelec elements interpolation postprocessing extrapolation
ISSN号	1019-7168
DOI	10.1007/s10444-007-9047-2
英文摘要	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.
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000257587300003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/5608]
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.