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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Abstract

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: Monograph (Technical Report)
Creators:
Creators
Email
ORCID
ORCID Put Code
Heinlein, Alexander
alexander.heinlein@uni-koeln.de
UNSPECIFIED
UNSPECIFIED
Klawonn, Axel
axel.klawonn@uni-koeln.de
https://orcid.org/0000-0003-4765-7387
UNSPECIFIED
Rheinbach, Oliver
oliver.rheinbach@math.tu-freiberg.de
UNSPECIFIED
UNSPECIFIED
Röver, Friederike
friederike.roever@math.tu-freiberg.de
UNSPECIFIED
UNSPECIFIED
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:
Keywords
Language
GDSW
English
three-level Schwarz preconditioner
English
parallel software
English
reduced dimension coarse spaces
English
URI: http://kups.ub.uni-koeln.de/id/eprint/9017

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