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Advection Diffusion Problems with Pure Advection Approximation in Subregions

  • Martin J. Gander
  • Laurence Halpern
  • Caroline Japhet
  • Véronique Martin
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 55)

Abstract

We study in this paper a model problem of advection diffusion type on a region which contains a subregion where it is sufficient to approximate the problem by the pure advection equation. We define coupling conditions at the interface between the two regions which lead to a coupled solution which approximates the fully viscous solution more accurately than other conditions from the literature, and we develop a fast algorithm to solve the coupled problem.

Keywords

Coupling Condition Transmission Condition Domain Decomposition Method Viscous Solution Absorb Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Martin J. Gander
    • 1
  • Laurence Halpern
    • 2
  • Caroline Japhet
    • 2
  • Véronique Martin
    • 3
  1. 1.Université de GenèveGenèveSwitzerland
  2. 2.LAGA, Université Paris XIIIVilletaneuseFrance
  3. 3.LAMFA UMR 6140Université Picardie Jules VerneAmiens Cedex 1France

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