He was a professor of Numerical Analysis at the Istituto Universitario di Studi Superiori (IUSS) in Pavia from 2006 until his retirement in 2015.
Presently he is Emeritus Professor at IUSS and Associate Researcher at IUSS (Istituto Universitario di Studi Superiori) of Italian CNR (Consiglio Nazionale delle Ricerche) His research deals with, among other subjects, the theory and applications of the finite element method in structural mechanics, fluid mechanics, and electrodynamics.
Brezzi is serving as a managing editor for Mathematical Models & Methods in Applied Sciences, as the editor-in-chief of Calcolo and of Numerische Mathematik, and as a member of the editorial staffs of numerous journals.
[2][3] In 2010 the Accademia delle Scienze di Torino awarded him the Gili Agostinelli Prize for mathematical applications in the physical or natural sciences.
In 2012 he received the Blaise Pascal Medal for Mathematics for his contributions to the theory of finite element methods.
In 2014 in Barcelona he was awarded the Leonhard Euler Medal of the European Community on Computational Methods in Applied Science (ECCOMAS).