Title | Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators |
Author | |
Corresponding Author | Guo, Yukun; Li, Jingzhi |
Publication Years | 2023-06-01
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DOI | |
Source Title | |
ISSN | 2708-0560
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EISSN | 2708-0579
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Volume | 4Issue:2 |
Abstract | This paper is devoted to the numerical computation of transmission eigen-values arising in the inverse acoustic scattering theory. This problem is first refor-mulated as a two-by-two system of boundary integral equations. Next, we develop a Schur complement operator with regularization to obtain a reduced system of bound-ary integral equations. The Nystro center dot m discretization is then used to obtain an eigenvalue problem for a matrix. In conjunction with the recursive integral method, the numerical computation of the matrix eigenvalue problem produces the indicator for finding the transmission eigenvalues. Numerical implementations are presented and archetypal examples are provided to demonstrate the effectiveness of the proposed method. |
Keywords | |
URL | [Source Record] |
Indexed By | |
Language | English
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SUSTech Authorship | Corresponding
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Funding Project | NSFC["11901085","11971133","11971221","GC300502-1"]
; DGUT[11771180]
; Guangdong NSF Major Fund[2021ZDZX1001]
; Shenzhen Sci-Tech Fund["RCJC20200714114556020","JCYJ20200109115422828","JCYJ20190809150413261"]
; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
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WOS Research Area | Mathematics
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WOS Subject | Mathematics, Applied
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WOS Accession No | WOS:000942643200004
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Publisher | |
Data Source | Web of Science
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Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal Article |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/513436 |
Department | Department of Mathematics |
Affiliation | 1.Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523808, Peoples R China 2.Jilin Univ, Inst Math, Changchun 130012, Peoples R China 3.Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China 4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 5.SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China 6.Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Peoples R China |
Corresponding Author Affilication | Department of Mathematics; Southern University of Science and Technology |
Recommended Citation GB/T 7714 |
Ma, Yunyun,Ma, Fuming,Guo, Yukun,et al. Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators[J]. CSIAM TRANSACTIONS ON APPLIED MATHEMATICS,2023,4(2).
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APA |
Ma, Yunyun,Ma, Fuming,Guo, Yukun,&Li, Jingzhi.(2023).Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators.CSIAM TRANSACTIONS ON APPLIED MATHEMATICS,4(2).
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MLA |
Ma, Yunyun,et al."Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators".CSIAM TRANSACTIONS ON APPLIED MATHEMATICS 4.2(2023).
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