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A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations

  • Marcella BonazzoliEmail author
  • Victorita DoleanEmail author
  • Ivan G. GrahamEmail author
  • Euan A. SpenceEmail author
  • Pierre-Henri TournierEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 125)

Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.

Notes

Acknowledgements

This work has been supported in part by the French National Research Agency (ANR), project MEDIMAX, ANR-13-MONU-0012.

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Université Côte d’Azur, CNRS, LJADNiceFrance
  2. 2.University of StrathclydeGlasgowUK
  3. 3.University of BathBathUK
  4. 4.UPMC Univ Paris 06LJLLParisFrance

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