Numerical Algorithms for an inverse problem of corrosion detection

This paper describes a numerical strategy for the detection of hidden corrosion in an internal, unobservable surface of a material object, whose geometry and material properties are known. Since the corrosion is not directly measurable, it is estimated using a nondestructive infrared thermographic inspection. The a priori knowledge about the material object allows us to use a physical-mathematical model to support the estimate. Given a suitable parametrization of the depth of the real corroded profile, the numerical algorithm performs a nonlinear estimate of the corroded model domain parameters, adopting a predictor-corrector scheme