An adaptive multilevel method for time-harmonic Maxwell equations with singularities

doi:10.1137/050636012

	An adaptive multilevel method for time-harmonic Maxwell equations with singularities
	Chen, Zhiming; Wang, Long; Zheng, Weiying
	2007
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	29 期号:1 页码:118-138
摘要	We develop an adaptive edge finite element method based on reliable and efficient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned MINRES (minimum residual) iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numerical experiments for cavity problems with singular solutions which include, in particular, scattering over screens.
关键词	Maxwell equations singularities of solutions adaptive finite element method multigrid method
DOI	10.1137/050636012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000245031900006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4092
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Zhiming
作者单位	Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Wang, Long,Zheng, Weiying. An adaptive multilevel method for time-harmonic Maxwell equations with singularities[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2007,29(1):118-138.
APA	Chen, Zhiming,Wang, Long,&Zheng, Weiying.(2007).An adaptive multilevel method for time-harmonic Maxwell equations with singularities.SIAM JOURNAL ON SCIENTIFIC COMPUTING,29(1),118-138.
MLA	Chen, Zhiming,et al."An adaptive multilevel method for time-harmonic Maxwell equations with singularities".SIAM JOURNAL ON SCIENTIFIC COMPUTING 29.1(2007):118-138.