The seminar will present the basic structure and the fundamental ideas behind the Virtual Element Methods, taking, for simplicity, the Laplace operator as toy example. The main features of the method will be sketched, together with the guidelines for its implementation and the essential mathematical instruments to be used in the analysis.

Overview

Abstract

The seminar will present the basic structure and the fundamental ideas behind the Virtual Element Methods, taking, for simplicity, the Laplace operator as toy example. The main features of the method will be sketched, together with the guidelines for its implementation and the essential mathematical instruments to be used in the analysis.

Brief Biography

Franco Brezzi  has been professor of  Mathematics at the Politecnico di Torino (1975-1977) at the University of Pavia (1977-2006) and at the “Istituto Universitario di Studi Superiori (IUSS)”from 2006 to now.

He has been Director of the IMATI-CNR (formerly Institute of Numerical Analysis) from 1992 to 2012, and President of Italian Mathematical Union from 2006 to 2012.
Presently he is Vice President of the European Mathematical Society.

He  is  a member of the Istituto Lombardo, Accademia di Scienze e Lettere (Milano), of the Accademia Nazonale dei Lincei (Roma) and of the European Academy of Sciences. He received the Gauss-Newton Medal  from IACM  in 2004, and the Von Neumann Award from SIAM in 2009.

His scientific interests are mainly in Scientific Computing, and mostly in Numerical Analysis of PDEs for various applications. Recently he has been working on more methodological aspects, as Discontinuous Galerkin methods, Co-chain discretizations of differential forms and Virtual Element Methods.​

Refreshments:  Available @ 02:45 pm

Presenters

Prof. Franco Brezzi, Istituto Universitario di Studi Superiori - IUSS, Italy