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 A (CIP)-I-0 method of transmission eigenvalues for elastic waves Xi, Yingxia1,2; Ji, Xia3; Geng, Hongrui4 2018-12-01 Source Publication JOURNAL OF COMPUTATIONAL PHYSICS 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 China2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China4.Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China Recommended CitationGB/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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