Journal Article

FZJ-2023-01178

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Analysis of the transmission eigenvalue problem with two conductivity parameters

Kleefeld, A.FZJ* ; Harris, I. (Corresponding author) ; Ayala, R. C. ; Pallikarakis, N.

2024
Taylor & Francis London [u.a.]

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Please use a persistent id in citations: doi:10.1080/00036811.2023.2181167  doi:10.34734/FZJ-2023-01178

Abstract: In this paper, we provide an analytical study of the transmission eigenvalue problemwith two conductivity parameters. We will assume that the underlying physical modelis given by the scattering of a plane wave for an isotropic scatterer. In previous studies,this eigenvalue problem was analyzed with one conductive boundary parameter whereaswe will consider the case of two parameters. We prove the existence and discretenessof the transmission eigenvalues as well as study the dependence on the physical parameters.We are able to prove monotonicity of the first transmission eigenvalue withrespect to the parameters and consider the limiting procedure as the second boundaryparameter vanishes. Lastly, we provide extensive numerical experiments to validatethe theoretical work.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2024

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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