Minisymposia

Title: Inverse source problems and application
Organizer(s): Abdellatif El-Badia, University of Technology of Compiegne
Tuong Ha-Duong, University of Technology of Compiegne
Speakers: Michael Andrle, University of Technology of Compiegnne
Identification of Moving Pollution Sources in Surface Waters or Atmospheric Media with Incomplete Boundary Observations

Guillaume Bal, Columbia University, New York
Simulataneous reconstruction of source and absorption coefficients in the Attenuated Radon Transform

Victor Isakov, E. Kropf, D. Stewart, Wichita State University, USA
Two numerical methods for the inverse gravimetry problem in the plane

Takkaki Nara, University of Electro-Communications, Chofugaoka, Chofu, Tokyo, Japan
An inverse source problem for the quasi-static Maxwell's equations
Abstract: Inverse problems are very important in science, engineering and bioengineering. Among these, inverse source problems have attracted great attention of many researchers over recent years because of their applications to many practical problems such as sound source localization, identification of current dipolar sources in the so-called inverse, electro-encephalography (EEG), inverse magneto-encephalography (MEG) problems. Other examples concern pollution source identification. To solve inverse source problems, many theoretical and numerical identification methods using iterative algorithms and algebraic methods have been studied. The first ones basically seek to minimize the error between the observable data and the solution of the forward problem for obtaining source parameters. The second, which have been developed over recent years, require algebraic relations between source parameters and observable. One of the objectives of this minisymposia is to give an overview of the state of the art of the topic.

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