Inverse scattering and electrical impedance tomography have been a very active field of applied mathematics in recent years. New trends have emerged that have allowed to obtain further insights and encouraging results for well established and fascinating inverse problems. The minisymposium focuses on recent developments and innovative contributions in this direction, considering theoretical results and numerical algorithms as well as their application to specific real world problems. The topics of the talks range from scattering by wave guides, over non-iterative reconstruction methods for electrical impedance tomography and their generalizations to inverse scattering, to time-dependent inverse scattering problems.

A MUSIC scheme for impedance imaging using multiple AC frequencies

Martin Hanke (Johannes Gutenberg-Universität Mainz)

Detecting indefinite inclusions using the Complete Electrode Model

Henrik Garde (Aalborg University)

Monotonicity-based inverse scattering

Bastian Harrach (Goethe-Universität Frankfurt am Main)

Multifrequency inverse source problems and a generalization of Prony's method

Roland Griesmaier (Karlsruhe Institute of Technology)

On identifiable spectra related to shapes and material properties

Houssem Haddar (INRIA & Ecole Polytechnique)

A spectral method to detect perfect invisibility in waveguides

Lucas Chesnel (Inria/Ecole Polytechnique)

Exterior approach for finding defects in the wave equation

Jeremi Darde (Universite Paul Sabatier)

On the separation of potential fields as an inverse source problem in geomagnetism

Christian Gerhards (University of Vienna)

Organizers:

Roland Griesmaier (Karlsruhe Institute of Technology)

Nuutti Hyvönen (Aalto University)

Keywords:

image reconstruction, inverse problems, partial differential equation models