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Multigrid solver for clover fermions · Around

2010

Multigrid solver for clover fermions

Osborn, J. C., Babich, R., Brannick, J. et al.

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We present an adaptive multigrid Dirac solver developed for Wilson clover fermions which offers order-of-magnitude reductions in solution time compared to conventional Krylov solvers.

The solver incorporates even-odd preconditioning and mixed precision to solve the Dirac equation to double precision accuracy and shows only a mild increase in time to solution for decreasing quark mass.
We show actual time to solution on production lattices in comparison to conventional Krylov solvers and will also discuss the setup process and its relative cost to the total solution time.

Built on

A. Brandt, Math. Comp. 31, 138 (1977)
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M. Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick and J. Ruge, SIAM J. Sci. Comput. 25, 6 (2004)
Original
2004
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Similar

M. Lüscher, JHEP 0707, 081 (2007)
2007
Cited alongside, same era.
J. Brannick, R. C. Brower, M. A. Clark, J. C. Osborn and C. Rebbi, Phys. Rev. Lett. 100, 041601 (2008)
2008
Cited alongside, same era.
H. W. Lin et al
2009
Cited alongside, same era.
R. Babich et al
Original
Cited in the paper.
http://usqcd.jlab.org/usqcd-software
Cited in the paper.

Then

R. B. Morgan and W. Wilcox, arXiv:0707.0505 [math-ph]; A. Stathopoulos and K. Orginos, SIAM J. Sci. Comput. 32, 1 (2010)
Original
2010
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M. A. Clark, R. Babich, K. Barros, R. C. Brower and C. Rebbi, Comput. Phys. Commun. 181
2010
Closest in time.

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