TY  - JOUR
AU  - Kleefeld, A.
AU  - Pieronek, L.
TI  - Elastic transmission eigenvalues and their computation via the method of fundamental solutions
JO  - Applicable analysis
VL  - 100
IS  - 16
SN  - 1563-504X
CY  - London [u.a.]
PB  - Taylor & Francis
M1  - FZJ-2020-00826
SP  - 3445-3462
PY  - 2021
AB  - A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valuedelastic 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000512511900001
DO  - DOI:10.1080/00036811.2020.1721473
UR  - https://juser.fz-juelich.de/record/873583
ER  -