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Analysis of a discretization algorithm for stationary continuity equations in semiconductor device models. II. (English) Zbl 0619.65117
In part I [ibid. 2, 117-139 (1983; reviewed above)] an analysis was presented of a discretization procedure for a class of elliptic problems, including the Scharfetter-Gummel method for the continuity equations of stationary semiconductor device models. Here, the previous results are extended in two directions: firstly, to such problems in an arbitrary number of dimensions and, secondly, to include the computation of suitable moments, as opposed to point-values, of the carrier density distributions.

MSC:
65Z05 Applications to the sciences
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
78A35 Motion of charged particles
35J65 Nonlinear boundary value problems for linear elliptic equations
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References:
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