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Adaptive algebraic multigrid on SIMD architectures

2015/12/14 by Simon Heybrock, Matthias Rottmann, Heybrock, Simon +5
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #Distributed and Parallel Computing Systems #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.48550/arxiv.1512.04506

openalex publication_date 2015/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present details of our implementation of the Wuppertal adaptive algebraic multigrid code DD-αAMG on SIMD architectures, with particular emphasis on the Intel Xeon Phi processor (KNC) used in QPACE 2. As a smoother, the algorithm uses a domain-decomposition-based solver code previously developed for the KNC in Regensburg. We optimized the remaining parts of the multigrid code and conclude that it is a very good target for SIMD architectures. Some of the remaining bottlenecks can be eliminated by vectorizing over multiple test vectors in the setup, which is discussed in the contribution of Daniel Richtmann.

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