P. Pietra

Discontinuous Galerkin Approximations for Elliptic Problems

In this article, we analyze a discontinuous finite element method recently introduced by Bassi and Rebay for the approximation of elliptic problems. Stability and error estimates in various norms are proven.

Two-dimensional exponential fitting and applications to drift-diffusion models

A class of methods is introduced that generalizes the so-called exponential fitting method to two-dimensional problems and, more specifically, to equations of the type

Numerical simulation of semiconductor devices

{\operatorname{div}} (\underset{\raise0.3em\hbox{

Discretization of Semiconductor Device Problems (I)

\smash{\scriptscriptstyle-}

Stability and error analysis of mixed finite-volume methods for advection dominated problems

}}{\nabla } u + u\underset{\raise0.3em\hbox{

A monotonic scheme for advection-diffusion problems

\smash{\scriptscriptstyle-}

NEW MIXED FINITE ELEMENT SCHEMES FOR CURRENT CONTINUITY EQUATIONS

}}{\nabla } \psi ) = f

Finite element and finite volume discretizations of Drift-Diffusion type fluid models for semiconductors

, with

On some numerical problems in semiconductor device simulation

\psi

Discontinuous finite elements for di-usion problems

given and