KMS Of Academy of mathematics and systems sciences, CAS
| (CIP)-I-0 Methods for the Transmission Eigenvalue Problem | |
Geng, Hongrui1; Ji, Xia2 ; Sun, Jiguang3; Xu, Liwei1,4
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| 2016-07-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
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| ISSN | 0885-7474 |
| Volume | 68Issue:1Pages:326-338 |
| Abstract | 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. |
| Keyword | Transmission eigenvalues High order eigenvalue problem Discontinuous Galerkin method Lagrange elements |
| DOI | 10.1007/s10915-015-0140-2 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000379328900015 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/23053 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Ji, Xia |
| Affiliation | 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 |
| 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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