Estimation of a source term in a two-dimensional heat transfer problem: application to an electron beam welding

This article is concerned with the estimation of a heat source applied in the electron beam welding process by using the micrographic information (hardness, optical micrograph, etc.) and temperature measurements in solid phase. The aim is to identify the energy distribution that is applied in the liquid and vapor zones. This identification is realized at each time in a transversal plane perpendicular to the welding axis. For this work, the goal is to analyze the feasibility of the estimation. So we do not use noise with the theoretical measurements. At last, the iterative regularization method will be used for this two-dimensional metallurgical inverse heat transfer problem.