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International Conference on Domain Decomposition Methods

DD 2018: Domain Decomposition Methods in Science and Engineering XXV pp 176–184Cite as

FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE,volume 138)

Abstract

This article describes a parallel implementation of a two-level overlapping Schwarz preconditioner with the GDSW (Generalized Dryja–Smith–Widlund) coarse space described in previous work [12, 10, 15] into the Trilinos framework; cf. [16]. The software is a significant improvement of a previous implementation [12]; see Sec. 4 for results on the improved performance.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Cologne, Weyertal 86-90, 50931, Köln, Germany

    Alexander Heinlein & Axel Klawonn

  2. Center for Data and Simulation Science, University of Cologne, Cologne, Germany

    Alexander Heinlein & Axel Klawonn

  3. Center for Computing Research, Scalable Algorithms Department, Sandia National Laboratories, NM 87123, Albuquerque, Mexico

    Sivasankaran Rajamanickam

  4. INMO, Technische Universität Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany

    Oliver Rheinbach

Authors
  1. Alexander Heinlein
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  2. Axel Klawonn
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  3. Sivasankaran Rajamanickam
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  4. Oliver Rheinbach
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Corresponding author

Correspondence to Alexander Heinlein .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada

    Prof. Dr. Ronald Haynes

  2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada

    Prof. Dr. Scott MacLachlan

  3. Department of Computer Science, University of Colorado, Boulder, CO, USA

    Prof. Xiao-Chuan Cai

  4. Laboratoire Analyse, Geometrie, Université Paris XIII, Villetaneuse, France

    Prof. Laurence Halpern

  5. Department of Applied Mathematics, Kyung Hee University, Yongin, Korea (Republic of)

    Prof. Hyea Hyun Kim

  6. Mathematisches Institut, Universität zu Köln, Köln, Germany

    Prof. Axel Klawonn

  7. New York University, New York, NY, USA

    Prof. Dr. Olof Widlund

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Cite this paper

Heinlein, A., Klawonn, A., Rajamanickam, S., Rheinbach, O. (2020). FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos. In: , et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_19

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