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Optimized Overlapping DDFV Schwarz Algorithms

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Book cover Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (FVCA 2020)

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Abstract

We introduce an overlapping optimized Schwarz methods in the DDFV framework for an anisotropic diffusion equation, and we show that a discrete and bounded domain convergence analysis is important to get best performance for strong anisotropy.

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Notes

  1. 1.

    Or alternating if \( \mathcal{B}_2u_1^n\) is transmitted on \(\varGamma _2\), leaving the rest unchanged.

References

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Author information

Authors and Affiliations

  1. University of Geneva, 2-4 Rue du Lièvre, CP 64, 1211, Genève, Switzerland

    Martin J. Gander

  2. Université PARIS 13, LAGA, 93430, Villetaneuse, France

    Laurence Halpern

  3. Aix-Marseille Université, CNRS, Centrale Marseille, I2M UMR 7373, 39 rue F. Joliot Curie, 13453, Marseille Cedex 13, France

    Florence Hubert

  4. Université de Nice, Parc Valrose, 28 Avenue Valrose, 06108 Nice, Cedex 2, France

    Stella Krell

Authors
  1. Martin J. Gander
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  2. Laurence Halpern
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  3. Florence Hubert
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  4. Stella Krell
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Corresponding author

Correspondence to Stella Krell .

Editor information

Editors and Affiliations

  1. NORCE Norwegian Research Centre AS, Bergen, Norway

    Robert Klöfkorn

  2. Department of Mathematics, University of Bergen, Bergen, Norway

    Eirik Keilegavlen

  3. Department of Mathematics, University of Bergen, Bergen, Norway

    Florin A. Radu

  4. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Jürgen Fuhrmann

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Gander, M.J., Halpern, L., Hubert, F., Krell, S. (2020). Optimized Overlapping DDFV Schwarz Algorithms. In: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_33

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