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Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problems

  • Luca Gerardo-Giorda
  • Frédéric Nataf
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 55)

Abstract

Let Ω = R×Q, where Q is a bounded domain of R2, and consider the elliptic PDE of advection-diffusion-reaction type given by

Keywords

Interface Condition Domain Decomposition Iteration Count Domain Decomposition Method Volume Scheme 
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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References

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    P.-L. Lions, On the Schwarz alternating method. III: a variant for nonoverlapping subdomains, in Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston, Texas, March 20–22, 1989, T. F. Chan, R. Glowinski, J. Périaux, and O. Widlund, eds., Philadelphia, PA, 1990, SIAM.Google Scholar
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    F.-X. Roux, F. Magoulès, S. Salmon, and L. Series, Optimization of interface operator based on algebraic approach, in Fourteenth International Conference on Domain Decomposition Methods, I. Herrera, D. E. Keyes, O. B. Widlund, and R. Yates, eds., ddm.org, 2003.Google Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • Luca Gerardo-Giorda
    • 1
  • Frédéric Nataf
    • 2
  1. 1.Dipartimento di MatematicaUniversità di TrentoItaly
  2. 2.CNRS, UMR 7641, CMAPÉcole PolytechniqueFrance

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