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Construction of a New Domain Decomposition Method for the Stokes Equations

  • Frédéric Nataf
  • Gerd Rapin
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 55)

Abstract

We propose a new domain decomposition method for the Stokes equations in two and three dimensions. The algorithm, we propose, is very similar to an algorithm which is obtained by a Richardson iteration for the Schur complement equation using a Neumann-Neumann preconditioner. A comparison of both methods with the help of a Fourier analysis shows clearly the advantage of the new approach. This has also been validated by numerical experiments.

Keywords

Stokes Equation Domain Decomposition Stokes Problem Stokes System Domain Decomposition Method 
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

  • Frédéric Nataf
    • 1
  • Gerd Rapin
    • 2
  1. 1.CMAP, CNRS; UMR7641Ecole PolytechniquePalaiseau CedexFrance
  2. 2.Math. Dep., NAMGeorg-August-Universität GöttingenGermany

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