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)


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.


Stokes Equation Domain Decomposition Stokes Problem Stokes System Domain Decomposition Method 
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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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