Elastic transmission eigenvalues and their computation via the method of fundamental solutions
- 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.
Author: | Andreas KleefeldORCiD, J. Pieronek |
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DOI: | https://doi.org/10.1080/00036811.2020.1721473 |
ISSN: | 1563-504X |
Parent Title (English): | Applicable Analysis |
Publisher: | Taylore & Francis |
Place of publication: | London |
Document Type: | Article |
Language: | English |
Year of Completion: | 2020 |
Date of first Publication: | 2020/02/03 |
Tag: | Interior transmission eigenvalues; elastic scattering; method of fundamental solutions |
Volume: | 100 |
Issue: | 16 |
First Page: | 3445 |
Last Page: | 3462 |
Link: | https://doi.org/10.1080/00036811.2020.1721473 |
Zugriffsart: | campus |
Institutes: | FH Aachen / Fachbereich Medizintechnik und Technomathematik |
open_access (DINI-Set): | open_access |
collections: | Verlag / Taylor & Francis |
Licence (German): | Creative Commons - Namensnennung |