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09/22/06 Colloquium
Professor Alexandre Timonov
University of South Carolina Upstate, Spartanburg
University of South Carolina Upstate, Spartanburg
On Globally Convergent Algorithms for Coefficient Inverse Problems
Abstract: In this talk, I shall outline the convexification method recently proposed and developed together with Klibanov. The stress is, however, made on some numerical aspects of this method in high dimensions. Unlike the existing approaches, the method allows for constructing the globally convergent algorithms for Coefficient Inverse Problems with a single measurement. The computational feasibility of the convexification method is demonstrated in numerical experiments. In particular, a 2D mathematical model of microwave frequency sounding of biological tissues is used to reconstruct the conductivity distribution from the given impedance/admittance.