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Méthodes d’éléments finis mixtes et schéma de Scharfetter-Gummel. (Mixed finite element methods and Scharfetter-Gummel scheme). (French) Zbl 0623.65131

The Scharfetter-Gummel scheme, i.e. the most popular scheme for 1- dimensional semiconductor problems, is proved to be a classical mixed method, suitably interpreted. The same interpretation being valid in several variables, the Scharfetter-Gummel method can then be naturlly extended to 2-D and 3-D problems, as it has been sought for longtime in the literature.

MSC:

65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
78A35 Motion of charged particles
78A55 Technical applications of optics and electromagnetic theory
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