5–6 Nov 2019
Max Planck Institute for Dynamics of Complex Technical Systems
Europe/Berlin timezone

Energy Efficiency of Nonlinear Domain Decomposition Methods

6 Nov 2019, 10:15
30m
Main/groundfloor-V0.05/2+3 - Prigogine (Max Planck Institute for Dynamics of Complex Technical Systems)

Main/groundfloor-V0.05/2+3 - Prigogine

Max Planck Institute for Dynamics of Complex Technical Systems

Sandtorstr. 1, 39106 Magdeburg, Saxony Anhalt, Germany
100
Talk Day II

Speaker

Axel Klawonn (Universität zu Köln)

Description

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

Primary author

Axel Klawonn (Universität zu Köln)

Co-authors

Martin Lanser (Universität zu Köln) Oliver Rheinbach (TU Bergakademie Freiberg) Gerhard Wellein (Friedrich-Alexander-Universität Erlangen) Markus Wittmann (Friedrich-Alexander-Universität Erlangen)

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