The swept rule for breaking the latency barrier in time advancing PDEs

This article investigates the swept rule of space–time domain decomposition, an idea to break the latency barrier via communicating less often when explicitly solving time-dependent PDEs. The swept rule decomposes space and time among computing nodes in ways that exploit the domains of influence and...

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Main Authors: Alhubail, Maitham Makki, Wang, Qiqi
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Published: Elsevier 2018
Online Access:http://hdl.handle.net/1721.1/113941
https://orcid.org/0000-0001-9669-2563
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author Alhubail, Maitham Makki
Wang, Qiqi
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Alhubail, Maitham Makki
Wang, Qiqi
author_sort Alhubail, Maitham Makki
collection MIT
description This article investigates the swept rule of space–time domain decomposition, an idea to break the latency barrier via communicating less often when explicitly solving time-dependent PDEs. The swept rule decomposes space and time among computing nodes in ways that exploit the domains of influence and the domain of dependency, making it possible to communicate once per many timesteps without redundant computation. The article presents simple theoretical analysis to the performance of the swept rule which then was shown to be accurate by conducting numerical experiments.
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spelling mit-1721.1/1139412022-09-30T20:25:46Z The swept rule for breaking the latency barrier in time advancing PDEs Alhubail, Maitham Makki Wang, Qiqi Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Alhubail, Maitham Makki Wang, Qiqi This article investigates the swept rule of space–time domain decomposition, an idea to break the latency barrier via communicating less often when explicitly solving time-dependent PDEs. The swept rule decomposes space and time among computing nodes in ways that exploit the domains of influence and the domain of dependency, making it possible to communicate once per many timesteps without redundant computation. The article presents simple theoretical analysis to the performance of the swept rule which then was shown to be accurate by conducting numerical experiments. United States. National Aeronautics and Space Administration (NRA Award 15-TTT1-0057) United States. Air Force. Office of Scientific Research (Award F11B-T06-0007) United States. Department of Energy (Award DE-FG02-14ER26173/DESC00011089) United States. National Aeronautics and Space Administration (Award NNH11ZEA001N) 2018-03-02T22:04:52Z 2018-03-02T22:04:52Z 2015-12 2015-11 2018-02-21T14:00:19Z Article http://purl.org/eprint/type/JournalArticle 0021-9991 1090-2716 http://hdl.handle.net/1721.1/113941 Alhubail, Maitham, and Qiqi Wang. “The Swept Rule for Breaking the Latency Barrier in Time Advancing PDEs.” Journal of Computational Physics 307 (February 2016): 110–121. https://orcid.org/0000-0001-9669-2563 http://dx.doi.org/10.1016/j.jcp.2015.11.026 Journal of Computational Physics Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier arXiv
spellingShingle Alhubail, Maitham Makki
Wang, Qiqi
The swept rule for breaking the latency barrier in time advancing PDEs
title The swept rule for breaking the latency barrier in time advancing PDEs
title_full The swept rule for breaking the latency barrier in time advancing PDEs
title_fullStr The swept rule for breaking the latency barrier in time advancing PDEs
title_full_unstemmed The swept rule for breaking the latency barrier in time advancing PDEs
title_short The swept rule for breaking the latency barrier in time advancing PDEs
title_sort swept rule for breaking the latency barrier in time advancing pdes
url http://hdl.handle.net/1721.1/113941
https://orcid.org/0000-0001-9669-2563
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