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,
non-standard 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.
- Residual-free bubbles and subgrid-scale simulations.
- Approximation of eigenvalues of problems in mixed form.
- Discontinuous finite element methods.
- Mimetic finite differences.