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• W2131955910 abstract "We introduce a finite volume scheme for multi-dimensional drift-diffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove the convergence of the scheme and then the existence of solutions to the problem. The key point of the proof relies on the construction of an approximate gradient of the electric potential which allows us to deal with coupled terms in the continuity equations. Finally, a numerical example is given to show the efficiency of the scheme." @default.
• W2131955910 created "2016-06-24" @default.
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• W2131955910 date "2003-03-01" @default.
• W2131955910 modified "2023-09-23" @default.
• W2131955910 title "Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis" @default.
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• W2131955910 doi "https://doi.org/10.1051/m2an:2003028" @default.
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