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Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients

  • Eric Blayo
  • Laurence Halpern
  • Caroline Japhet
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 55)

Abstract

We present and study an optimized SchwarzWaveform Relaxation algorithm for convection-diffusion problems with discontinuous coefficients. Such analysis is a first step towards the coupling of heterogeneous climatic models. The SWR algorithms are global in time, and thus allow for the use of non conforming space-time discretizations. They are therefore well adapted to coupling models with very different spatial and time scales, as in ocean-atmosphere coupling. As the cost per iteration can be very high, we introduce new transmission conditions in the algorithm which optimize the convergence speed. In order to get higher order schemes in time, we use in each subdomain a discontinuous Galerkin method for the time-discretization. We present numerical results to illustrate this approach, and we analyse numerically the time-discretization error.

Keywords

Discontinuous Galerkin Method Transmission Condition High Order Scheme Time Grid Discontinuous Coefficient 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Eric Blayo
    • 1
  • Laurence Halpern
    • 2
  • Caroline Japhet
    • 2
  1. 1.LMCUniversité Joseph FourierGrenoble Cedex 9France
  2. 2.LAGAUniversité Paris XIIIVilletaneuseFrance

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