RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM

doi:10.4208/jcm.1701-m2015-0443

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

	RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM
	Xi, Yingxia; Ji, Xia; Ji Xia
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2017
卷号	35 期号:6 页码:828-838
关键词	Transmission eigenvalue problem Nonlinear eigenvalue problem Contour integrals
ISSN号	0254-9409
DOI	10.4208/jcm.1701-m2015-0443
英文摘要	The transmission eigenvalue problem is an eigenvalue problem that arises in the scattering of time-harmonic waves by an inhomogeneous medium of compact support. Based on a fourth order formulation, the transmission eigenvalue problem is discretized by the Morley element. For the resulting quadratic eigenvalue problem, a recursive integral method is used to compute real and complex eigenvalues in prescribed regions in the complex plane. Numerical examples are presented to demonstrate the effectiveness of the proposed method.
资助项目	National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; Special Funds for National Basic Research Program of China (973 Program)[2012CB025904] ; Special Funds for National Basic Research Program of China (863 Program)[2012AA01A309] ; national Center for Mathematics and Interdisciplinary Science, CAS
WOS研究方向	Mathematics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000410757100008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26590]
专题	计算数学与科学工程计算研究所
通讯作者	Xi, Yingxia
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xi, Yingxia,Ji, Xia,Ji Xia. RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2017,35(6):828-838.
APA	Xi, Yingxia,Ji, Xia,&Ji Xia.(2017).RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,35(6),828-838.
MLA	Xi, Yingxia,et al."RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 35.6(2017):828-838.