Book/Dissertation / PhD Thesis

FZJ-2020-04174

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The method of fundamental solutions for computing interior transmission eigenvalues

Pieronek, L. J. (Corresponding author)FZJ*

2020
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag Jülich
ISBN: 978-3-95806-504-8

Please use a persistent id in citations: http://hdl.handle.net/2128/26000  urn:nbn:de:0001-2020103015

Abstract: This thesis deals with a novel approach for analyzing and computing interior transmission eigenvalues of (piecewise) homogeneous media in two dimensions. It is based on approximating boundary data of respective eigenfunctions by the method of fundamental solutions. However, since a straightforward implementation would solely exploit ill-conditioned matrices and thus evoke spurious results, a stabilization scheme is incorporated. The combined method is then studied with a distinction between isotropic and anisotropic materials, and complemented by novel approximation theory each. Numerical validations complete the investigations for different wave type scenarios.

Note: BTU Cottbus-Senftenberg, Diss., 2020

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. PhD no Grant - Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405) (PHD-NO-GRANT-20170405)

Appears in the scientific report 2020

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Database coverage:
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