This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/26000 in citations.
The method of fundamental solutions for computing interior transmission eigenvalues
The method of fundamental solutions for computing interior transmission eigenvalues
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 i...
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Personal Name(s): | Pieronek, Lukas Julian (Corresponding author) |
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Contributing Institute: |
Jülich Supercomputing Center; JSC |
Imprint: |
Jülich
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
2020
|
Physical Description: |
115 S. |
Dissertation Note: |
BTU Cottbus-Senftenberg, Diss., 2020 |
ISBN: |
978-3-95806-504-8 |
Document Type: |
Book Dissertation / PhD Thesis |
Research Program: |
Doktorand ohne besondere Förderung Computational Science and Mathematical Methods |
Series Title: |
Schriften des Forschungszentrums Jülich. IAS Series
44 |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
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. |