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Summary

We study an idealized problem of nondestructive evaluation relevant to the inspection of aircraft. The problem is to obtain quantitative information about corrosion damage in a plate from voltage readings on its accessible side. The corrosion damage is modeled as material loss occurring on the inaccessible side. The inverse problem is to reconstruct the material loss profile from the data. The computational model is based on the assumption that the plate’s thickness is small. The voltage response is linearized in the loss profile, and an equation is derived relating the derivative of the profile to the voltage readings. Although this equation can be integrated directly, numerical examples indicate that a regularized least-squares solution gives more reasonable results.

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