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A (CIP)-I-0 method of transmission eigenvalues for elastic waves
Xi, Yingxia1,2; Ji, Xia3; Geng, Hongrui4
AbstractThis 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.
KeywordTransmission eigenvalue problem Elastic wave equation Discontinuous Galerkin method
Funding ProjectNational 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 AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000447904200010
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Document Type期刊论文
Corresponding AuthorJi, Xia
Affiliation1.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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