Systematic reduction of data movement in algebraic multigrid solvers

Hormozd Gahvari, William Gropp, Kirk E. Jordan, Martin Schulz, Ulrike Meier Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Algebraic Multigrid (AMG) solvers find wide use in scientific simulation codes. Their ideal computational complexity makes them especially attractive for solving large problems on parallel machines. However, they also involve a substantial amount of data movement, posing challenges to performance and scalability. In this paper, we present an algorithm that provides a systematic means of reducing data movement in AMG. The algorithm operates by gathering and redistributing the problem data to reduce the need to move it on the communication-intensive coarse grid portion of AMG. The data is gathered in a way that ensures data locality by keeping data movement confined to specific regions of the machine. Any decision to gather data is made systematically through the means of a performance model. This approach results in substantial speedups on a multicore cluster when using AMG to solve a variety of test problems.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE 27th International Parallel and Distributed Processing Symposium Workshops and PhD Forum, IPDPSW 2013
PublisherIEEE Computer Society
Pages1675-1682
Number of pages8
ISBN (Print)9780769549798
DOIs
StatePublished - 2013
Event2013 IEEE 37th Annual Computer Software and Applications Conference, COMPSAC 2013 - Boston, MA, Japan
Duration: Jul 22 2013Jul 26 2013

Publication series

NameProceedings - IEEE 27th International Parallel and Distributed Processing Symposium Workshops and PhD Forum, IPDPSW 2013

Other

Other2013 IEEE 37th Annual Computer Software and Applications Conference, COMPSAC 2013
Country/TerritoryJapan
CityBoston, MA
Period7/22/137/26/13

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Software
  • Theoretical Computer Science

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