TY  - CONF
AU  - Kleefeld, Andreas
TI  - Mixed interior transmission eigenvalues
M1  - FZJ-2019-03698
PY  - 2019
AB  - In this talk, a new scattering model for the interior transmission eigenvalue problem with mixed boundary conditions is described in two dimensions. This new eigenvalue problem is challenging due to the fact that it is neither elliptic nor self-adjoint. The problem at hand is reformulated with boundary integral equations leading to a system of boundary integral equations. After discretizing it, a non-linear eigenvalue problem is obtained. An efficient algorithm for solving it is demonstrated in order to find such interior transmission eigenvalues. Additionally, some distribution properties of those eigenvalues are given. Finally, numerical results are provided for a variety of two-dimensional objects.
T2  - 19th International Conference on Computational and Mathematical Methods in Science and Engineering
CY  - 30 Jun 2019 - 6 Jul 2019, Costa Ballena, Cádiz (Spain)
Y2  - 30 Jun 2019 - 6 Jul 2019
M2  - Costa Ballena, Cádiz, Spain
LB  - PUB:(DE-HGF)6
UR  - https://juser.fz-juelich.de/record/863693
ER  -