Publication Cover
Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 16
337
Views
1
CrossRef citations to date
0
Altmetric
Articles

Elastic transmission eigenvalues and their computation via the method of fundamental solutions

ORCID Icon & ORCID Icon
Pages 3445-3462 | Received 02 Jul 2019, Accepted 20 Jan 2020, Published online: 03 Feb 2020
 

ABSTRACT

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.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).