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.
|
PDF
CDS_TR-2018-8.pdf Download (815kB) | Preview |
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: | Preprints, Working Papers or Reports (Technical Report) | ||||||||||||||||||||
| Creators: |
|
||||||||||||||||||||
| 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: |
|
||||||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/9017 |
Downloads
Downloads per month over past year
Export
Actions (login required)
 |
View Item |