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W. Jalby and B. Philippe, SIAM J.Sci.Stat.Comp. 12
Original
1991
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SIAM, 2003
Y. Saad, Iterative Methods for Sparse Linear Systems: Second Edition · 2003
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M. Lüscher, Comput.Phys.Commun. 156
2004
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A. Frommer et al., SIAM J.Sci.Comput. 36
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2014
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Then

S. Heybrock et al., Proceedings of SC '14 (2014) 69 [ arXiv:1412.2629 ]
Original
2014
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D. Richtmann, S. Heybrock, and T. Wettig, PoS
2016
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2015

Adaptive algebraic multigrid on SIMD architectures

Heybrock, Simon, Rottmann, Matthias, Georg, Peter et al.

Understand

We present details of our implementation of the Wuppertal adaptive algebraic multigrid code DD-$\alpha$AMG 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.