A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike

doi:10.1007/978-3-030-95025-5_54

Alexander Heinlein¹³,
Axel Klawonn^14,15,
Oliver Rheinbach¹⁶ &
…
Friederike Röver¹⁶

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 145))

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Abstract

The Fast and Robust Overlapping Schwarz framework [7, 8], which is part of the Trilinos Software library [18], contains a parallel implementation of the generalized Dryja–Smith–Widlund (GDSW) preconditioner.

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Authors and Affiliations

Faculty of Electrical Engineering Mathematics & Computer Science, Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 72628, CD Delft, Netherlands
Alexander Heinlein
Department Mathematik/Informatik, Universität zu Köln, Weyertal 86-90, 50923, Köln, Germany
Axel Klawonn
Center for Data and Simulation Science, University of Cologne, Cologne, Germany
Axel Klawonn
Institut für Numerische Mathematik und Optimierung, Technische Universität Bergakademie Freiberg, Akademiestr. 6, 09599, Freiberg, Germany
Oliver Rheinbach & Friederike Röver

Authors

Alexander Heinlein
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Axel Klawonn
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Oliver Rheinbach
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Friederike Röver
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Correspondence to Alexander Heinlein .

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Editors and Affiliations

Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA, USA
Susanne C. Brenner
Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong SAR, China
Eric Chung
Department Mathematik/Informatik, Abteilung Mathematik, Universität zu Köln, Köln, Germany
Axel Klawonn
Département de mathématiques et de statistique, Université Laval, Québec, QC, Canada
Felix Kwok
Department of Mathematics, Pennsylvania State University, University Park, PA, USA
Jinchao Xu
Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong SAR, China
Jun Zou

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Heinlein, A., Klawonn, A., Rheinbach, O., Röver, F. (2022). A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. In: Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (eds) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-030-95025-5_54

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DOI: https://doi.org/10.1007/978-3-030-95025-5_54
Published: 16 March 2023
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-95024-8
Online ISBN: 978-3-030-95025-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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