A nonconforming exponentially fitted finite element method for two-dimensional drift-diffusion models in semiconductors

A new nonconforming exponentially fitted finite element for a Galerkin appr oximation of convection-diffusion equations with a dominating advective ter m is considered. The attention is here focused on the drift-diffusion curre nt continuity equations in semiconductor device modeling. The scheme extend s to the two-dimensional case, the well known Scharfetter-Gummel method, by imposing a divergence-free current over each element of the triangulation. Convergence of the method in the energy norm is proved and some numerical results are included. (C) 1999 John Wiley & Sons, Inc.