A Multilevel Correction Method for Interior Transmission Eigenvalue Problem

doi:10.1007/s10915-017-0367-1

	A Multilevel Correction Method for Interior Transmission Eigenvalue Problem
	Xie, Hehu1,2 ; Wu, Xinming 3
	2017-08-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	72 期号:2 页码:586-604
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.
关键词	Transmission eigenvalue problem Finite element method Error estimates Multilevel correction method
DOI	10.1007/s10915-017-0367-1
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000406014800006
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26137
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.