中文版 | English
Title

Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators

Author
Corresponding AuthorGuo, Yukun; Li, Jingzhi
Publication Years
2023-06-01
DOI
Source Title
ISSN
2708-0560
EISSN
2708-0579
Volume4Issue: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
SUSTech Authorship
Corresponding
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]
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied
WOS Accession No
WOS:000942643200004
Publisher
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/513436
DepartmentDepartment 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 AffilicationDepartment 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).
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).
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).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Export to Excel
Export to Csv
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[Ma, Yunyun]'s Articles
[Ma, Fuming]'s Articles
[Guo, Yukun]'s Articles
Baidu Scholar
Similar articles in Baidu Scholar
[Ma, Yunyun]'s Articles
[Ma, Fuming]'s Articles
[Guo, Yukun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Ma, Yunyun]'s Articles
[Ma, Fuming]'s Articles
[Guo, Yukun]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.