Conference Presentation (After Call) FZJ-2022-02251

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Interior transmission eigenvalues for fractal domains



2022

10th International Conference Inverse Problems: Modelling & Simulation, IPMS 2022, Paradise Bay Resort HotelParadise Bay Resort Hotel, Malta, 23 May 2022 - 27 May 20222022-05-232022-05-27

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Abstract: Interior transmission eigenvalues arise in the study of reconstruction algorithm for inverse scattering problems. The numerical calculation of those is a challenging task due to the fact that the problem is non-linear, non-elliptic, and non-self-adjoint. It gets even more complicated when the two-dimensional domain under consideration has a fractal boundary. It is shown that we are able to successfully compute interior transmission eigenvalues for such domains. Interesting observations and conjectures are made which hopefully stimulate the community to pursue further research in this direction.


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)

Appears in the scientific report 2022
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 Record created 2022-05-24, last modified 2022-06-01


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