Universität zu Köln

Klawonn, Axel, Lanser, Martin ORCID: 0000-0002-4232-9395, Rheinbach, Oliver, Wellein, Gerhard and Wittmann, Markus . Energy efficiency of nonlinear domain decomposition methods. Int. J. High Perform. Comput. Appl.. LONDON: SAGE PUBLICATIONS LTD. ISSN 1741-2846

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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 on average for each socket up to 77% (due to the RAPL hardware counters) 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:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klawonn, Axel UNSPECIFIED UNSPECIFIED UNSPECIFIED Lanser, Martin UNSPECIFIED orcid.org/0000-0002-4232-9395 UNSPECIFIED Rheinbach, Oliver UNSPECIFIED UNSPECIFIED UNSPECIFIED Wellein, Gerhard UNSPECIFIED UNSPECIFIED UNSPECIFIED Wittmann, Markus UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-319786
DOI:	10.1177/1094342020953891
Journal or Publication Title:	Int. J. High Perform. Comput. Appl.
Publisher:	SAGE PUBLICATIONS LTD
Place of Publication:	LONDON
ISSN:	1741-2846
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PRIMAL FETI METHODS; BDDC METHODS; DP Multiple languages Computer Science, Hardware & Architecture; Computer Science, Interdisciplinary Applications; Computer Science, Theory & Methods Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31978