Conference Presentation (After Call)

FZJ-2017-04072

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Non-destructive testing and interior transmission eigenvalues

Kleefeld, A. (Corresponding author)FZJ*

2017

Abstract: The objective in non-destructive testing is to obtain a visualization of a given three-dimensional object's interior in order to reveal location, size, and geometry of inhomogeneities. Interior transmission eigenvalues can be used for this task. However, the efficient numerical calculation of the interior transmission eigenvalues is a challenging problem due to the fact that the corresponding interior transmission problem is non-linear, non-elliptic, and non-self-adjoint. In this talk, it is explained what interior transmission eigenvalues are, how they can be computed to high accuracy using boundary integral equations, andhow they can be used to visualize the interior of a given object.Finally, some open problems both from the theoretical and practical point of view are exemplified.

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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 2017

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