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Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. (English) Zbl 1237.78038
The paper under review is concerned with integrated circuits for semiconductors modeled by drift-diffusion equations. The authors describe the numerical treatment of the network using the method of lines. In order to obtain a reduced order model which is valid over a considerable range of parameters, the authors adapt the reduced basis method combined with the greedy approach to the present setting. Numerical results illustrate the performance of the approach introduced.

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
82D37 Statistical mechanical studies of semiconductors
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
78M34 Model reduction in optics and electromagnetic theory
DASSL; deal.ii
Full Text: DOI
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