Title: Shape reconstruction in impedance tomography and inverse scattering
Organizer(s): Roland Griesmaier, University of Mainz, Germany
Nuutti Hyvonen, Aalto University, Finland
Speakers: Jeremi Darde, Université Paris 7, France
The exterior approach to solve an inverse obstacle problem in electric impedance tomography

Martin Simon , Johannes Gutenberg-University of Mainz
Probabilistic Interpretation of Current-to-Voltage-Maps within the Complete Electrode Model of EIT

Nuutti Hyvonen, Aalto University, Finland
Electrical impedance tomography with two electrodes

Armin Lechleiter, Ecole Polytechnique, France
Explicit characterization of the support of non-linear inclusions

Peter Monk, University of Delaware
The linear sampling method in the time domain

John Sylvester, University of Washington
Transmission Eigenvalues and Upper Triangular Compactness

Marcel Ullrich, University of Mainz, Germany
A monotony based method for EIT

Ting Zhou, University of Washington
Reconstructing electromagnetic obstacles by the enclosure method

Abstract: Inverse scattering and impedance tomography have been very active fields of applied mathematics in recent years. In particular for shape reconstruction problems new trends have emerged allowing to obtain new insights and encouraging results for well established and fascinating inverse problems. Examples include the development of qualitative reconstruction algorithms, such as linear sampling, factorization and monotonicity methods, techniques to deal with limited sets of data like backscattering data, limited aperture data or single wave measurements, algorithms that are particularly adapted to special scatterer geometries, and methods that use multi-frequency information or time-dependent measurements, to name just a few. The minisymposium focuses on recent developments and innovative contributions in this direction.

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