KMS Of Academy of mathematics and systems sciences, CAS
| A (CIP)-I-0 method of transmission eigenvalues for elastic waves | |
Xi, Yingxia1,2; Ji, Xia3 ; Geng, Hongrui4
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| 2018-12-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| ISSN | 0021-9991 |
| Volume | 374Pages:237-248 |
| Abstract | This paper develops a discontinuous Galerkin method to compute a few smallest elasticity transmission eigenvalues, which are of practical importance in inverse elastic scattering theory. For high-order problems, comparing with classical conforming finite element methods, discontinuous Galerkin methods use simpler basis functions which make the numerical implementation much easier. In this paper, we propose an interior penalty discontinuous Galerkin method using C-0 Lagrange elements ((CIP)-I-0) for the elastic transmission eigenvalue problem and prove the optimal convergence. Numerical examples are presented to validate its effectiveness. Both real and complex eigenvalues can be obtained. (C) 2018 Elsevier Inc. All rights reserved. |
| Keyword | Transmission eigenvalue problem Elastic wave equation Discontinuous Galerkin method |
| DOI | 10.1016/j.jcp.2018.07.053 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; NSFC[11701526] ; NSFC[11501063] ; NSFC[11701527] |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000447904200010 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31692 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Ji, Xia |
| Affiliation | 1.Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China |
| Recommended Citation GB/T 7714 | Xi, Yingxia,Ji, Xia,Geng, Hongrui. A (CIP)-I-0 method of transmission eigenvalues for elastic waves[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2018,374:237-248. |
| APA | Xi, Yingxia,Ji, Xia,&Geng, Hongrui.(2018).A (CIP)-I-0 method of transmission eigenvalues for elastic waves.JOURNAL OF COMPUTATIONAL PHYSICS,374,237-248. |
| MLA | Xi, Yingxia,et al."A (CIP)-I-0 method of transmission eigenvalues for elastic waves".JOURNAL OF COMPUTATIONAL PHYSICS 374(2018):237-248. |
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