Universität zu Köln

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin Heinrich, Rheinbach, Oliver, Wellein, Gerhard and Wittmann, Markus (2018). Energy Efficiency of Nonlinear Domain Decomposition Methods. Technical Report.

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Abstract

A nonlinear domain decomposition (DD) solver is considered with respect to improved energy efficiency. In this method, nonlinear problems are solved using Newton’s method on the subdomains in parallel and in asynchronous iterations. The method is compared to the more standard Newton-Krylov approach, where a linear domain decomposition solver is applied to the overall nonlinear problem after linearization using Newton’s method. It is found that in the nonlinear domain decomposition method, making use of the asynchronicity, some processor cores can be set to sleep to save energy and to allow better use of the power and thermal budget. Energy savings up to 77% are observed compared to the more traditional Newton-Krylov approach, which is synchronous by design, using up to 5120 Intel Broadwell (Xeon E5-2630v4) cores. The total time to solution is not affected. On the contrary, remaining cores of the same processor may be able to go to turbo mode, thus reducing the total time to solution slightly. Last, we consider the same strategy for the ASPIN (Additive Schwarz Preconditioned Inexact Newton) nonlinear domain decomposition method and observe a similar potential to save energy.

Item Type:	Preprints, Working Papers or Reports (Technical Report)
Creators:	Creators Email ORCID ORCID Put Code Klawonn, Axel axel.klawonn@uni-koeln.de orcid.org/0000-0003-4765-7387 UNSPECIFIED Lanser, Martin Heinrich mlanser@uni-koeln.de UNSPECIFIED UNSPECIFIED Rheinbach, Oliver oliver.rheinbach@math.tu-freiberg.de UNSPECIFIED UNSPECIFIED Wellein, Gerhard gerhard.wellein@fau.de UNSPECIFIED UNSPECIFIED Wittmann, Markus markus.wittmann@fau.de UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-86547
Series Name at the University of Cologne:	Technical report series. Center for Data and Simulation Science
Volume:	2018,3
Date:	2 October 2018
Language:	English
Faculty:	Central Institutions / Interdisciplinary Research Centers
Divisions:	Weitere Institute, Arbeits- und Forschungsgruppen > Center for Data and Simulation Science (CDS)
Subjects:	Data processing Computer science Mathematics Technology (Applied sciences)
Uncontrolled Keywords:	Keywords Language Nonlinear FETI-DP English Nonlinear Domain Decomposition English Nonlinear Elimination English Newton’s method English Nonlinear Problems English Parallel Computing English Energy Efficiency English LIKWID English
URI:	http://kups.ub.uni-koeln.de/id/eprint/8654