001     1014478
005     20231130201844.0
024 7 _ |a 10.34734/FZJ-2023-03328
|2 datacite_doi
037 _ _ |a FZJ-2023-03328
041 _ _ |a English
100 1 _ |a Kleefeld, Andreas
|0 P:(DE-Juel1)169421
|b 0
|e Corresponding author
|u fzj
111 2 _ |a Applied Inverse Problems
|g AIP 2023
|c Göttingen
|d 2023-09-04 - 2023-09-08
|w Germany
245 _ _ |a Interior transmission eigenvalue trajectories
260 _ _ |c 2023
336 7 _ |a Conference Paper
|0 33
|2 EndNote
336 7 _ |a Other
|2 DataCite
336 7 _ |a INPROCEEDINGS
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336 7 _ |a conferenceObject
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336 7 _ |a LECTURE_SPEECH
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336 7 _ |a Conference Presentation
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|s 1701325532_2440
|2 PUB:(DE-HGF)
|x After Call
502 _ _ |c University of Göttingen
520 _ _ |a Complex-valued eigenvalue trajectories parametrized by a constant index of refractionare investigated for the interior transmission problem. Several properties are derived forthe unit disk such as that the only intersection points with the real axis are Dirichleteigenvalues of the Laplacian. For general sufficiently smooth scatterers in two dimensionsthe only trajectorial limit points are shown to be Dirichlet eigenvalues of the Laplacian asthe refractive index tends to infinity. Additionally, numerical results for several scatterersare presented which give rise to an underlying one-to-one correspondence between thesetwo eigenvalue families which is finally stated as a conjecture.
536 _ _ |a 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511)
|0 G:(DE-HGF)POF4-5112
|c POF4-511
|f POF IV
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700 1 _ |a Pieronek, Lukas
|0 P:(DE-HGF)0
|b 1
|e Collaboration author
856 4 _ |u http://www.aip2023.com/
856 4 _ |u https://juser.fz-juelich.de/record/1014478/files/goettingen2023.pdf
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909 C O |o oai:juser.fz-juelich.de:1014478
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910 1 _ |a Forschungszentrum Jülich
|0 I:(DE-588b)5008462-8
|k FZJ
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|6 P:(DE-Juel1)169421
910 1 _ |a Karlsruhe Institute of Technology
|0 I:(DE-HGF)0
|b 1
|6 P:(DE-HGF)0
913 1 _ |a DE-HGF
|b Key Technologies
|l Engineering Digital Futures – Supercomputing, Data Management and Information Security for Knowledge and Action
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|v Enabling Computational- & Data-Intensive Science and Engineering
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914 1 _ |y 2023
915 _ _ |a OpenAccess
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920 _ _ |l yes
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980 _ _ |a conf
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980 _ _ |a I:(DE-Juel1)JSC-20090406
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