Conference Presentation (After Call)

FZJ-2016-04108

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary

Kleefeld, A. (Corresponding author)FZJ*

2016

Abstract: In this talk, the interior transmission eigenvalue problem for aninhomogeneous media with a conductive boundary condition is investigated. Discreteness and existence of the interior transmission eigenvalues is shown. The inverse spectral problem of gaining information about the material properties fromthe interior transmission eigenvalues is illustrated. In particular, it is proven that the first interior transmission eigenvalue is a monotonic function of the refractive index and the boundary conductivity parameter, and a uniqueness result for constant coefficients is obtained. Additionally, numerical examples in three dimensions are presented to demonstrate the theoretical results.

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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)

Appears in the scientific report 2016

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Database coverage:
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