FULL-TEXT - ABSTRACT

We consider the problem of determining material loss due to cor- rosion in a plate. Eddy current data are collected on one side of the plate with corrosion damage occuring on the opposite side. Our work is based on linearizing the relationship between eddy current loop impedance change with the loss profile. In this context, we show that eddy current data are sufficient to uniquely determine the material loss profile. Because of the illposedness of the reconstruction prob- lem, we propose 3 regularization strategies in devising computational methods. Numerical results using consistent data, and with added noise, indicate that the computational methods are quite capable of obtaining accurate quantitative estimates of the loss profile.

**Department of Mathematical Science, University of Delaware, Newark, DE 19716
* Research partially supported by the National Science Foundation under grant DMS-9503114, Department of Energy under grant DE-FG02-94ER25225, the Airforce Office of Scientific Research URI-RIP grant F49620-93-1-0500 and grant F49620-95-1-0305.