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(CIP)-I-0 Methods for the Transmission Eigenvalue Problem
Geng, Hongrui1; Ji, Xia2; Sun, Jiguang3; Xu, Liwei1,4
AbstractWe 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.
KeywordTransmission eigenvalues High order eigenvalue problem Discontinuous Galerkin method Lagrange elements
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000379328900015
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Document Type期刊论文
Corresponding AuthorJi, Xia
Affiliation1.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
Recommended Citation
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.
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