Abstract: Two aspects of mathematical modeling of eddy current testing problems are analyzed in the talk. Available mathematical models for the solution of direct problems in eddy current testing are discussed in detail. Special attention is given to the analysis of assumptions and limitations of the models. In particular, the effect of a finite size of a conducting sample on the change in impedance of a coil is analyzed. The results of comparison of theoretical calculations with experimental data are discussed.
The second aspect is related to the solution of inverse problems. Applications include determination of electrical conductivity of metal plates and estimation of thickness of metal coatings. Results of numerical solution of inverse problems are presented.

Brief Biography of the Speaker:
Andrei Kolyshkin received his undergraduate degree in Applied Mathematics in 1976 at the Riga Technical University. In 1981 he received a Ph.D in differential equations and mathematical physics at the University of St. Petersburg (Russia). Andrei Kolyshkin is currently a full professor at the Department of Engineering Mathematics at the Riga Technical University. His current research interests include investigation of stability problems in fluid mechanics with applications to open- channel flows, transient flows in hydraulic systems and mathematical models for eddy current testing. He is the co-author of three monographs published by Academic Press and CRM. Andrei Kolyshkin has participated in more than 40 international conferences and has published more than 70 papers in refereed journals since 1980. As a visiting professor and visiting researcher he spent a few years at the University of Ottawa and Hong Kong University of Science and Technology.