C(0)IPG for a Fourth Order Eigenvalue Problem

doi:10.4208/cicp.131014.140715a

	C(0)IPG for a Fourth Order Eigenvalue Problem
	Ji, Xia1 ; Geng, Hongrui 2; Sun, Jiguang 3; Xu, Liwei 2,4
	2016-02-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	19 期号:2 页码:393-410
摘要	This paper concerns numerical computation of a fourth order eigenvalue problem. We first show the well-posedness of the source problem. An interior penalty discontinuous Galerkin method (C(0)IPG) using Lagrange elements is proposed and its convergence is studied. The method is then used to compute the eigenvalues. We show that the method is spectrally correct and prove the optimal convergence. Numerical examples are presented to validate the theory.
关键词	Fourth order eigenvalue problem discontinuous Galerkin method spectrum approximation
DOI	10.4208/cicp.131014.140715a
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[2012CB025904] ; Special Funds for National Basic Research Program of China[2012AA01A3094] ; China Scholarship Council (CSC) ; NSFC[11371385] ; NSFC[11201506] ; NSF[DMS-1016092/1321391] ; Youth 1000 plan of China ; Youth 100 plan of Chongqing University
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000369252700006
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21952
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.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Chongqing Univ, Coll Math & Stat, Chongqing 401331, 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	Ji, Xia,Geng, Hongrui,Sun, Jiguang,et al. C(0)IPG for a Fourth Order Eigenvalue Problem[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(2):393-410.
APA	Ji, Xia,Geng, Hongrui,Sun, Jiguang,&Xu, Liwei.(2016).C(0)IPG for a Fourth Order Eigenvalue Problem.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(2),393-410.
MLA	Ji, Xia,et al."C(0)IPG for a Fourth Order Eigenvalue Problem".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.2(2016):393-410.