His scientific interests are mainly
concentrated in the field of Numerical Methods for Partial
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
- In particular he worked on the
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
Behaviour and approximation properties of finite dimensional
discretizations of bifurcation problems.
Theoretical and numerical problems in semiconductor device
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.
Virtual Element Methods.