Convergence of Asynchronous Optimized Schwarz Methods in the Plane

  • José C. Garay
  • Frédéric Magoulès
  • Daniel B. Szyld
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 125)


A convergence proof of Asynchronous Optimized Schwarz Methods applied to a shifted Laplacian problem, with negative shift, in \(\mathbb {R}^2\) is presented. Sufficient conditions for convergence involving initial values of the approximation of the solution are discussed.



J. C. Garay was supported in part by the U.S. Department of Energy under grant DE-SC0016578. D. B. Szyld was supported in part by the U.S. National Science Foundation under grant DMS-1418882 and the U.S. Department of Energy under grant DE-SC0016578.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Temple UniversityPhiladelphiaUSA
  2. 2.CentraleSupélecChâtenay-MalabryFrance

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