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| Hauptseite > Publikationsdatenbank > Interior transmission eigenvalue trajectories > print |
| 001 | 1005121 | ||
| 005 | 20230307201804.0 | ||
| 024 | 7 | _ | |a 2128/34077 |2 Handle |
| 037 | _ | _ | |a FZJ-2023-01315 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 0 |e Corresponding author |u fzj |
| 111 | 2 | _ | |a SIAM Conference on Computational Science and Engineering |g CSE 23 |c Amsterdam |d 2023-02-27 - 2023-03-03 |w Netherlands |
| 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 |2 BibTeX |
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| 520 | _ | _ | |a Properties 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. |
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| 700 | 1 | _ | |a Pieronek, Lukas |0 P:(DE-HGF)0 |b 1 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/1005121/files/amsterdam2023.pdf |y OpenAccess |
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