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A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case

  • Martin J. Gander
  • Caroline Japhet
  • Yvon Maday
  • Frédéric Nataf
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)

Summary

We present and analyze a new nonconforming domain decomposition method based on a Schwarz method with Robin transmission conditions. We prove that the method is well posed and convergent. Our error analysis is valid in two dimensions for piecewise polynomials of low and high order and also in three dimensions for P1 elements. We further present an efficient algorithm in two dimensions to perform the required projections between arbitrary grids. We finally illustrate the new method with numerical results.

Keywords

Interface Condition Domain Decomposition Method Piecewise Polynomial Schwarz Method Waveform Relaxation 
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-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Martin J. Gander
    • 1
  • Caroline Japhet
    • 2
  • Yvon Maday
    • 3
  • Frédéric Nataf
    • 4
  1. 1.Dept. of Mathematics and StatisticsMcGill UniversityMontreal
  2. 2.Laboratoire d'Analyse, Géométrie et ApplicationsUniversité Paris 13France
  3. 3.Laboratoire Jacques Louis LionsUniversité Pierre et Marie CurieFrance
  4. 4.UMR 7641, CMAP, Ecole PolytechniqueCNRSPalaiseau

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