Finite Element Approximation of Eigenvalue Problems in Mixed Form
This talk will discuss the finite element approximation of the eigenvalues associated with the Maxwell system.
Overview
I will start by discussing some numerical examples, where it becomes apparent that the problem is not trivial and that suitable finite element spaces should be considered for the approximation of the problem at hand. Some theoretical results will complement the presentation.
Presenters
Brief Biography
Daniele Boffi is a professor in the Applied Mathematics and Computational Science Program at KAUST. Before joining KAUST, he spent 14 years as a full professor in the Department of Mathematics at the University of Pavia (UnIPV), Italy.
Boffi received his Ph.D. in Mathematics from UnIPV in 1996 and his M.S. in Mathematics from the same institution in 1990. During his time in Italy, he served as the director of Pavia's Higher Education School and was a member of several academic committees, including the University's Academic Senate and Evaluation Committee.
Boffi's research focuses on the numerical approximation of partial differential equations, spanning various aspects of mathematical modeling and scientific computing. He has made significant contributions to the modeling and simulation of fluid-structure interaction problems and the study of the numerical approximation of eigenvalue problems arising from partial differential equations.
At KAUST, Boffi leads the Numerical Methods for PDEs (NumPDE) research group, which provides a platform for the mathematical analysis and numerical validation of numerical schemes.
