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C(0)IPG for a Fourth Order Eigenvalue Problem

文献类型：期刊论文

作者Ji, Xia1; Geng, Hongrui2; Sun, Jiguang3; Xu, Liwei2,4
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期2016-02-01
卷号19期号:2页码:393-410
关键词Fourth order eigenvalue problem discontinuous Galerkin method spectrum approximation
ISSN号1815-2406
DOI10.4208/cicp.131014.140715a
英文摘要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.
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
语种英语
WOS记录号WOS:000369252700006
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21951]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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