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001005121 037__ $$aFZJ-2023-01315
001005121 041__ $$aEnglish
001005121 1001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b0$$eCorresponding author$$ufzj
001005121 1112_ $$aSIAM Conference on Computational Science and Engineering$$cAmsterdam$$d2023-02-27 - 2023-03-03$$gCSE 23$$wNetherlands
001005121 245__ $$aInterior transmission eigenvalue trajectories
001005121 260__ $$c2023
001005121 3367_ $$033$$2EndNote$$aConference Paper
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001005121 520__ $$aProperties of complex-valued eigenvalue trajectories for the interior transmission problem parametrized by a constant index of refraction are investigated. At first, the unit disk is considered and several properties are derived such as that the only intersection points with the real axis are Dirichlet eigenvalues of the Laplacian. Then, for general sufficiently smooth scatterers also the only trajectorial limit points are shown to be Dirichlet eigenvalues of the Laplacian as the refractive index tends to infinity. Numerical results for several scatterers are presented which even give rise to an underlying one-to-one correspondence. Finally, a conjecture on the link between these two eigenvalue families is given.
001005121 536__ $$0G:(DE-HGF)POF4-5112$$a5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
001005121 7001_ $$0P:(DE-HGF)0$$aPieronek, Lukas$$b1
001005121 8564_ $$uhttps://juser.fz-juelich.de/record/1005121/files/amsterdam2023.pdf$$yOpenAccess
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001005121 9141_ $$y2023
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