In this paper we examine the inverse problem of determining the amount of corrosion on an inaccessible surface of a two-dimensional region. Using numerical methods, we develop an algorithm for approximating corrosion profile using measurements of electrical potential along the accessible portion of the region. We also evaluate the effect of error on the problem, address the issue of ill-posedness, and develop a method of regularization to correct for this error. An examination of solution uniqueness is also presented.
Hoang, Court and Osenbach, Katherine, "Electrical Impedance Imaging of Corrosion on a Partially Accessible 2-Dimensional Region" (2009). Mathematical Sciences Technical Reports (MSTR). 21.