✦ LIBER ✦

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

✍ Scribed by Riccardo Sacco; Emilio Gatti; Laura Gotusso

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 432 KB
Volume: 15
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199903)15:2<133::aid-num1>3.0.co;2-n

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✦ Synopsis

A new nonconforming exponentially fitted finite element for a Galerkin approximation of convectiondiffusion equations with a dominating advective term is considered. The attention is here focused on the drift-diffusion current continuity equations in semiconductor device modeling. The scheme extends 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.