Present and future challenges in preconditioning integral equations for electromagnetics

This talk will review the main challenges in preconditioning electromagnetic integral equations and it will delineate some future perspectives for this field. Special attention will be devoted to analyze conditioning problems and challenges in all regimes of interest for applications including the low-frequency, the high frequency, and the elliptic regime. Theoretical considerations will be matched by numerical examples that will corroborate the theory and show the practical impact of advanced preconditioning techniques on real case scenarios.