CRAMG: A Communication-Reduced Algebraic Multigrid Method

Fan Yuan,Xiaojian Yang,Yunqing Huang,Dezun Dong,Chuanfu Xu,Jie Liu,X. Yue,Shengguo Li,Hongxia Wang

Published 2025 in International Conference on Supercomputing

ABSTRACT

Algebraic multigrid (AMG) is widely used to accelerate large-scale sparse linear solvers. In distributed environments, neighboring communication overhead in AMG significantly impacts overall solution time. We propose Communication-Reduced Algebraic Multigrid (CRAMG) methods to minimize inter-process data exchange and message count by fusing interpolation/restriction operators with residual computations. This reduces communication frequency from four per level to as few as two. Experiments show up to 45% reduction in data exchange and 35% fewer messages. Performance evaluations on an Intel platform demonstrate significant improvements over classical multiplicative AMG and the mult-additive version in the Hypre package.

PUBLICATION RECORD

  • Publication year

    2025

  • Venue

    International Conference on Supercomputing

  • Publication date

    2025-06-08

  • Fields of study

    Mathematics, Computer Science

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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