TY  - JOUR
A1  - Kleefeld, Andreas
A1  - Pieronek, J.
T1  - Elastic transmission eigenvalues and their computation via the method of fundamental solutions
T2  - Applicable Analysis
N2  - A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and isotropic media. Its algorithm can be implemented very shortly and adopts to many similar partial differential equation-based eigenproblems as long as the underlying fundamental solution function can be easily generated. We develop a corroborative approximation analysis which also implicates new basic results for transmission eigenfunctions and present some numerical examples which together prove successful feasibility of our eigenvalue recovery approach.
KW  - elastic scattering
KW  - method of fundamental solutions
KW  - Interior transmission eigenvalues
Y1  - 2020
UR  - https://opus.bibliothek.fh-aachen.de/opus4/frontdoor/index/index/docId/11472
SN  - 1563-504X
VL  - 100
IS  - 16
SP  - 3445
EP  - 3462
PB  - Taylore & Francis
CY  - London
ER  -