In this paper, we explore the mathematical inverse problem of detecting corroded material on the reverse side of a partially accessible metal plate. We will show how a linearization can be used to simplify the initial problem and explain a regularization method used to obtain acceptable results for the corrosion profile. We will also state and perform some calculations for the full three-dimensional problem for possible future work.
Charnley, Matthew and Rzeznik, Andrew, "Thermal Detection of Inaccessible Corrosion" (2012). Mathematical Sciences Technical Reports (MSTR). 5.