A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations

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Bonazzoli, Marcella and Dolean, Victorita and Graham, Ivan G. and Spence, Euan A. and Tournier, Pierre-Henri; Bjørstad, Petter E. and Brenner, Susanne C. and Halpern, Lawrence and Kim, Hyea Hyun and Kornhuber, Ralf and Rahman, Talal and Widlund, Olof B., eds. (2019) A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXIV. Lecture Notes in Computational Science and Engineering, 125 . Springer-Verlag, NOR, pp. 149-157. ISBN 9783319938738 (https://doi.org/10.1007/978-3-319-93873-8_12)

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Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at 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 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.

ORCID iDs

Bonazzoli, Marcella, Dolean, Victorita ORCID logoORCID: https://orcid.org/0000-0002-5885-1903, Graham, Ivan G., Spence, Euan A. and Tournier, Pierre-Henri; Bjørstad, Petter E., Brenner, Susanne C., Halpern, Lawrence, Kim, Hyea Hyun, Kornhuber, Ralf, Rahman, Talal and Widlund, Olof B.
  • Item type:Book Section
    ID code:63665
    Dates:
    Date
    Event
    5 January 2019
    Published
    21 February 2018
    Accepted
    23 May 2017
    Submitted
    Notes:Funding Information: Acknowledgements This work has been supported in part by Agency (ANR), project MEDIMAX, ANR-13-MONU-0012.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:09 Apr 2018 13:45
    Last modified:11 Nov 2024 15:36
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/63665
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