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.
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
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- Publication year
2025
- Venue
International Conference on Supercomputing
- Publication date
2025-06-08
- Fields of study
Mathematics, Computer Science
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