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Asymptotic preserving schemes in the quasi-neutral limit for the drift-diffusion system

  • Chainais-Hillairet ClaireEmail author
  • Vignal Marie-Hélène
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 4)

Abstract

We are interested in the drift-diffusion system near quasi-neutrality. For this system, classical explicit schemes are decoupled but subject to severe numerical constraints in the quasi-neutral regime. By constrast, the implicit discretizations are unconditionally stable but non linearly coupled. Then, an iterative method must be used yielding a large numerical cost. Here, we propose a new decoupled asymptotic preserving scheme. We perform one and two dimensional numerical experiments which show its good behavior.

Keywords

drift-diffusion asymptotic preserving schemes quasi-neutral regime 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Chainais-Hillairet Claire
    • 1
    Email author
  • Vignal Marie-Hélène
    • 2
  1. 1.Laboratoire P. Painlevé, UMR CNRS 8524Université Lille 1Villeneuve d’Ascq CédexFrance
  2. 2.Institut de Mathématiques de Toulouse, UMR 5219Université Paul SabatierToulouse Cedex 9France

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