Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rheinbach, Oliver and Röver, Friederike (2018). A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. Technical Report.


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A three-level extension of the GDSW overlapping Schwarz preconditioner in three dimensions is presented, constructed by recursively applying the GDSW preconditioner to the coarse problem using a standard and a reduced dimension coarse space. Numerical results, obtained for a parallel implementation using the Trilinos software library, are presented for up to 64,000 cores of the JUQUEEN supercomputer. The superior weak parallel scalability of the three-level method is verified. For large problems and a large number of cores, the three-level method is faster by more than a factor of two, compared to the standard two-level method. The three-level method shows to scale when the classical method is already be out-of-memory.

Item Type: Preprints, Working Papers or Reports (Technical Report)
CreatorsEmailORCIDORCID Put Code
Heinlein, Alexanderalexander.heinlein@uni-koeln.deUNSPECIFIEDUNSPECIFIED
Klawonn, Axelaxel.klawonn@uni-koeln.deorcid.org/0000-0003-4765-7387UNSPECIFIED
Rheinbach, Oliveroliver.rheinbach@math.tu-freiberg.deUNSPECIFIEDUNSPECIFIED
Röver, Friederikefriederike.roever@math.tu-freiberg.deUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-90176
Series Name at the University of Cologne: Technical report series. Center for Data and Simulation Science
Volume: 2018,8
Date: 16 November 2018
Language: English
Faculty: Central Institutions / Interdisciplinary Research Centers
Divisions: Weitere Institute, Arbeits- und Forschungsgruppen > Center for Data and Simulation Science (CDS)
Subjects: Mathematics
Technology (Applied sciences)
Uncontrolled Keywords:
three-level Schwarz preconditionerEnglish
parallel softwareEnglish
reduced dimension coarse spacesEnglish
URI: http://kups.ub.uni-koeln.de/id/eprint/9017


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