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A triangular mixed finite element method for the stationary semiconductor device equations. (English) Zbl 0732.65114
The authors present a triangular finite element method for the stationary semiconductor device equations. This method can be regarded as an extension to two dimensions of the one-dimensional Scharfetter-Gummel technique. Existence, uniqueness and stability of the approximate solution are proved for an arbitrary triangular mesh and some additional corresponding mathematical details are discussed.

MSC:
65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
78A55 Technical applications of optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
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