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| Hauptseite > Publikationsdatenbank > Analysis and computation of the transmission eigenvalues with a conductive boundary condition > print |
| Hauptseite > Publikationsdatenbank > Analysis and computation of the transmission eigenvalues with a conductive boundary condition > print |
| 001 | 877748 | ||
| 005 | 20230522125345.0 | ||
| 024 | 7 | _ | |a 10.1080/00036811.2020.1789598 |2 doi |
| 024 | 7 | _ | |a 2128/31107 |2 Handle |
| 024 | 7 | _ | |a WOS:000547422000001 |2 WOS |
| 037 | _ | _ | |a FZJ-2020-02436 |
| 041 | _ | _ | |a English |
| 082 | _ | _ | |a 510 |
| 100 | 1 | _ | |a Harris, Isaac |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Analysis and computation of the transmission eigenvalues with a conductive boundary condition |
| 260 | _ | _ | |c 2022 |
| 336 | 7 | _ | |a article |2 DRIVER |
| 336 | 7 | _ | |a Output Types/Journal article |2 DataCite |
| 336 | 7 | _ | |a Journal Article |b journal |m journal |0 PUB:(DE-HGF)16 |s 1651654946_783 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a JOURNAL_ARTICLE |2 ORCID |
| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a We provide a new analytical and computational study of the transmission eigenvalueswith a conductive boundary condition. These eigenvalues are derived fromthe scalar inverse scattering problem for an inhomogeneous material with a conductiveboundary condition. The goal is to study how these eigenvalues depend onthe material parameters in order to estimate the refractive index. The analyticalquestions we study are: deriving Faber-Krahn type lower bounds, the discretenessand limiting behavior of the transmission eigenvalues as the conductivity tends toinfinity for a sign changing contrast. We also provide a numerical study of a newboundary integral equation for computing the eigenvalues. Lastly, using the limitingbehavior we will numerically estimate the refractive index from the eigenvaluesprovided the conductivity is sufficiently large but unknown. |
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| 700 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 1 |u fzj |
| 773 | _ | _ | |a 10.1080/00036811.2020.1789598 |0 PERI:(DE-600)1385415-x |n 6 |p 1880-1895 |t Applicable analysis |v 101 |y 2022 |x 1026-7360 |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/877748/files/2001.07188.pdf |
| 856 | 4 | _ | |y OpenAccess |u https://juser.fz-juelich.de/record/877748/files/TE-CBCpart3_Edit.pdf |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://juser.fz-juelich.de/record/877748/files/TE-CBCpart3_Edit.pdf?subformat=pdfa |
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| 914 | 1 | _ | |y 2022 |
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