Speaker
Description
The practical motivation for this work is to reconstruct electromagnetic properties of the earth superficial layer using measurements taken above the ground. We approach this problem by inverting frequency-domain electromagnetic data through a well-established linear integral model, employing three different collocation methods to approximate the solution as a linear combination of linearly independent basis functions. This discretization results in a linear system that is highly ill-conditioned. To address this challenge, we apply an iterative regularization technique based on Landweber iterations in Banach spaces, which is particularly effective for reconstructing solutions that exhibit discontinuities or low smoothness—common characteristics in many imaging applications. Several numerical experiments demonstrate the superior performance of our method compared to other regularization techniques.
References:
- P. Diaz de Alba, C. Estatico, M. Lazzaretti, G. Rodriguez. Linear FDEM subsoil data inversion in Banach spaces. Submitted to Electronic Transactions on Numerical Analysis (2024).
