Boffi - On the numerical approximation of partial differential equations

Monday 13 Jan 2025, 10:00 → 12:00 Europe/Rome

GSSI

Course by Daniele Boffi (KAUST)

 

Title: On the numerical approximation of partial differential equations

 

Abstract:

We discuss the numerical approximation of elliptic partial differential
equations. The model problem is based on the Laplace operator in a
bounded domain with Dirichlet boundary conditions.
In the first part of the course we recall the finite element method,
starting from the one dimensional setting and comparing it to the
finite difference method.
We then continue with an overview of finite elements applied to mixed
formulations leading to so called saddle point problems.
Finally, we study some examples related to the approximation of
eigenvalue problems associated with partial differential equations.