  In this paper we present an advanced numerical method to simulate a real life
challenging industrial problem that consists of the non-destructive testing in
steam generators. We develop a finite element technique that handles the big
data numerical set of systems arising when a discretization of the eddy-current
equation in three dimensional space is made. Using a high performance
technique, our method becomes fully efficient. We provide numerical simulations
using the software Freefem++ which has a powerful tool to handle finite element
method and parallel computing. We show that our technique speeds up the
simulation with a good efficiency factor.
