Franco BREZZI
Scientific Interests
His scientific interests are mainly
concentrated in the field of Numerical Methods for Partial
Differential Equations.
In particular, from the point of view
of methodological tools, he works mainly on Finite Element Methods
(of various kinds).
From the applicative point of view, he
is mostly interested in problems coming from various Engineering
fields, such as Structural Mechanics, Fluid Mechanics, and
Electromagnetics.
 In particular he worked on the
following topics

Existence, uniqueness, and regularity of the solutions of boundary
value problems for P.D.E.

Numerical solution of linear elliptic problems with irregular data.

Basic properties of finite element methods (in particular,
nonstandard f.e .methods, as mixed, hybrid etc.)

Approximation of variational inequalities and free boundary
problems.

Behaviour and approximation properties of finite dimensional
discretizations of bifurcation problems.

Theoretical and numerical problems in semiconductor device
simulations.

Finite element analysis of plates and shells.

Domain decomposition methods.

Stabilization techniques in finite element formulations.

Residualfree bubbles and subgridscale simulations.

Approximation of eigenvalues of problems in mixed form.

Discontinuous finite element methods.

Mimetic finite differences.

Virtual Element Methods.