Journal Article

FZJ-2020-00826

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Elastic transmission eigenvalues and their computation via the method of fundamental solutions

Kleefeld, A.FZJ* ; Pieronek, L. (Corresponding author)FZJ*

2021
Taylor & Francis London [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/29176  doi:10.1080/00036811.2020.1721473

Abstract: 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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)
2. PhD no Grant - Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405) (PHD-NO-GRANT-20170405)

Appears in the scientific report 2021

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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