主 题: Recent development in Scientific Computing: Face and Edge Virtual Element Methods
报告人: Franco Brezzi (Istituto Universitario di Studi Superiori, IUSS)
时 间: 2016-12-08 09:00 - 11:00
地 点: 理科1号楼1114室
We recall the Virtual Element approximations of H(div)- and H(curl)-conforming spaces, typically used to approximate (n-1)-differential forms and 1-differential forms, respectively. We compare them to the most popular Raviart-Thomas, Nédélec, and BDM spaces, in particular in the presence of distorted elements, and we describe their application to some simple model problem (Darcy flows, magnetostatics, etc). Finally, we introduce their Serendipity variants to reduce the number of degrees of freedom (in particular for three-dimensional problems)
Franco Brezzi works on the theoretical bases of Scientific Computing, in particular in Numerical Methods for Partial Differential Equations, where he has made fundamental contributions to Mixed Finite Element Methods, Mimetic Finite Differences, or Virtual Elements of problems related to Structural Mechanics, Fluid Mechanics, and Electro-Magnetics, including algorithms and theories. He was awarded the Gauss-Newton gold medal of the International Association for Computational Mechanics of the World Congress of Computational Mechanics in 2004, SIAM von Neumann award in 2009, and the Leonhard Euler Medal and the Ritz-Galerkin Medal of the European Community on Computational Methods in Applied Science in 2014 and 2016, respectively. Franco Brezzi was an Invited Plenary Speaker at the ICM in 2014 in Seoul, and an Invited Speaker at the ICM in 1986 in Berkeley. He had been President of the Italian Mathematical Union from 2006 to 2012, and is currently Vice President of the European Mathematical Society. Also he is a member of the European Academy of Sciences, and a fellow of the International Association of Computational Mechanics and of the Society for Industrial and Applied Mathematics
