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C(0)IPG for a Fourth Order Eigenvalue Problem
Ji, Xia1; Geng, Hongrui2; Sun, Jiguang3; Xu, Liwei2,4
AbstractThis 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.
KeywordFourth order eigenvalue problem discontinuous Galerkin method spectrum approximation
Funding ProjectNational 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 Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000369252700006
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Document Type期刊论文
Corresponding AuthorJi, Xia
Affiliation1.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
Recommended Citation
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.
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