(CIP)-I-0 Methods for the Transmission Eigenvalue Problem

doi:10.1007/s10915-015-0140-2

	(CIP)-I-0 Methods for the Transmission Eigenvalue Problem
	Geng, Hongrui 1; Ji, Xia2 ; Sun, Jiguang 3; Xu, Liwei 1,4
	2016-07-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	68 期号:1 页码:326-338
摘要	We consider a non-selfadjoint fourth order eigenvalue problem using a discontinuous Galerkin (DG) method. For high order problems, DG methods are competitive since they use simple basis functions and have less degrees of freedom. The numerical implementation is much easier compared with classical conforming finite element methods. In this paper, we propose an interior penalty discontinuous Galerkin method using C-0 Lagrange elements ((CIP)-I-0) for the transmission eigenvalue problem and prove the optimal convergence. The method is applied to several examples and its effectiveness is validated.
关键词	Transmission eigenvalues High order eigenvalue problem Discontinuous Galerkin method Lagrange elements
DOI	10.1007/s10915-015-0140-2
语种	英语
资助项目	National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91230203] ; Special Funds for National Basic Research Program of China (973 Program)[2012CB025904] ; Special Funds for National Basic Research Program of China (863 Program)[2012AA01A3094] ; China Scholarship Council (CSC) ; NSFC[11371385] ; NSFC[11201506] ; Fundamental Research Funds for the Central Universities Grant[CDJXS12101101] ; NSF[DMS-1521555] ; US Army Research Laboratory ; US Army Research Office[W911NF-11-2-0046] ; Start-up fund of Youth 1000 plan of China ; Youth 100 plan of Chongqing University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000379328900015
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/23053
专题	计算数学与科学工程计算研究所
通讯作者	Ji, Xia
作者单位	1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China 3.Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA 4.Chongqing Univ, Inst Comp & Data Sci, Chongqing 400044, Peoples R China
推荐引用方式 GB/T 7714	Geng, Hongrui,Ji, Xia,Sun, Jiguang,et al. (CIP)-I-0 Methods for the Transmission Eigenvalue Problem[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,68(1):326-338.
APA	Geng, Hongrui,Ji, Xia,Sun, Jiguang,&Xu, Liwei.(2016).(CIP)-I-0 Methods for the Transmission Eigenvalue Problem.JOURNAL OF SCIENTIFIC COMPUTING,68(1),326-338.
MLA	Geng, Hongrui,et al."(CIP)-I-0 Methods for the Transmission Eigenvalue Problem".JOURNAL OF SCIENTIFIC COMPUTING 68.1(2016):326-338.