A Multilevel Correction Method for Interior Transmission Eigenvalue Problem

doi:10.1007/s10915-017-0367-1

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

	A Multilevel Correction Method for Interior Transmission Eigenvalue Problem
	Xie, Hehu1,2 ; Wu, Xinming 3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2017-08-01
卷号	72 期号:2 页码:586-604
关键词	Transmission eigenvalue problem Finite element method Error estimates Multilevel correction method
ISSN号	0885-7474
DOI	10.1007/s10915-017-0367-1
英文摘要	In this paper, we give a numerical analysis for the transmission eigenvalue problem by the finite element method. A type of multilevel correction method is proposed to solve the transmission eigenvalue problem. The multilevel correction method can transform the transmission eigenvalue solving in the finest finite element space to a sequence of linear problems and some transmission eigenvalue solving in a very low dimensional spaces. Since the main computational work is to solve the sequence of linear problems, the multilevel correction method improves the overfull efficiency of the transmission eigenvalue solving. Some numerical examples are provided to validate the theoretical results and the efficiency of the proposed numerical scheme.
资助项目	National Natural Science Foundations of China[NSFC 91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Natural Science Foundations of China[11031006] ; National Natural Science Foundations of China[2011CB309703] ; National Natural Science Foundations of China[11301089] ; Science Challenge Project[JCKY2016212A502] ; National Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000406014800006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26136]
专题	计算数学与科学工程计算研究所
通讯作者	Wu, Xinming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Wu, Xinming. A Multilevel Correction Method for Interior Transmission Eigenvalue Problem[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,72(2):586-604.
APA	Xie, Hehu,&Wu, Xinming.(2017).A Multilevel Correction Method for Interior Transmission Eigenvalue Problem.JOURNAL OF SCIENTIFIC COMPUTING,72(2),586-604.
MLA	Xie, Hehu,et al."A Multilevel Correction Method for Interior Transmission Eigenvalue Problem".JOURNAL OF SCIENTIFIC COMPUTING 72.2(2017):586-604.