TY  - THES
AU  - Pieronek, Lukas Julian
TI  - The method of fundamental solutions for computing interior transmission eigenvalues
VL  - 44
PB  - BTU Cottbus-Senftenberg
VL  - Dr.
CY  - Jülich
M1  - FZJ-2020-04174
SN  - 978-3-95806-504-8
T2  - Schriften des Forschungszentrums Jülich. IAS Series
SP  - 115 S.
PY  - 2020
N1  - BTU Cottbus-Senftenberg, Diss., 2020
AB  - This thesis deals with a novel approach for analyzing and computing interior transmission eigenvalues of (piecewise) homogeneous media in two dimensions. It is based on approximating boundary data of respective eigenfunctions by the method of fundamental solutions. However, since a straightforward implementation would solely exploit ill-conditioned matrices and thus evoke spurious results, a stabilization scheme is incorporated. The combined method is then studied with a distinction between isotropic and anisotropic materials, and complemented by novel approximation theory each. Numerical validations complete the investigations for different wave type scenarios.
LB  - PUB:(DE-HGF)3 ; PUB:(DE-HGF)11
UR  - https://juser.fz-juelich.de/record/885910
ER  -