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Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations

  • Martin J. GanderEmail author
  • Tommaso VanzanEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 125)

Abstract

Optimized Schwarz methods have increasingly drawn attention over the last decades because of their improvements in terms of robustness and computational cost compared to the classical Schwarz method. Optimized Schwarz methods are also a natural framework to study heterogeneous phenomena, where the spatial decomposition is provided by the multi-physics of the problem, because of their good convergence properties in the absence of overlap. We propose here zeroth order optimized transmission conditions for the coupling between the Helmholtz equation and the Laplace equation, giving asymptotically optimized choices for the parameters, and illustrating our analytical results with numerical experiments.

Notes

Acknowledgements

The authors are grateful to L. Halpern for very useful remarks concerning the well posedness analysis.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Section de mathématiquesUniversité de GenèveGenèveSwitzerland

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