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Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems

  • Gert Lube
  • Tobias Knopp
  • Gerd Rapin
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)

Summary

For advection-diffusion problems we show that a non-overlapping domain decomposition method with interface conditions of Robin type can be accelerated by using a critical parameter of the transmission condition in a cyclic way.

Keywords

Symmetric Case Transmission Condition Domain Decomposition Method Interface Parameter Schwarz Method 
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References

  1. M. J. Gander and G. Golub. A non-overlapping optimized Schwarz method which converges with arbitrarily weak dependence on h. In I. H. et.al., editor, Proc. Fourteenth Intern. Conf. on Domain Decomposition Methods, pages 281–288. DDM.org, 2002.Google Scholar
  2. T. Knopp, G. Lube, R. Gritzki, and M. Rösler. Iterative substructuring techniques for incompressible nonisothermal flows and its application to indoor air flow simulation. Intern. J. Numer. Meths. Fluids, 40:1527–1538, 2002.CrossRefGoogle Scholar
  3. P. L. Lions. On the Schwarz alternating method III: A variant for non-overlapping domains. In Chan et al., editor, Proc. Third Intern. Symp. on Domain Decomposition Methods, pages 202–223. SIAM, 1990.Google Scholar
  4. G. Lube, L. Müller, and F. Otto. A non-overlapping domain decomposition method for the advection-diffusion problem. Computing, 64:49–68, 2000.MathSciNetCrossRefGoogle Scholar
  5. F. Nataf. Interface connections in domain decomposition methods. In NATO Advanced Study Institute, Modern Methods in Scientific Computing and Applications. NATO Science Ser.II., vol. 75, 2001.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Gert Lube
    • 1
  • Tobias Knopp
    • 1
  • Gerd Rapin
    • 1
  1. 1.Institute of Numerical and Applied MathematicsUniversity of GöttingenGöttingen

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