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Adaptive multigrid algorithm for the lattice Wilson-Dirac operator · Around

2010

Adaptive multigrid algorithm for the lattice Wilson-Dirac operator

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

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We present an adaptive multigrid solver for application to the non-Hermitian Wilson-Dirac system of QCD.

The key components leading to the success of our proposed algorithm are the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix together with a simplified form of the correction based on the so-called gamma_5-Hermitian symmetry of the Dirac operator.
We demonstrate that the algorithm nearly eliminates critical slowing down in the chiral limit and that it has weak dependence on the lattice volume.

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A. Brandt, Math. Comp. 31
1977
Earlier work this paper cites.
J. Bramble, J. Pasciak, J. Wang and J. Xu, Math. Comp. 57
1991
Earlier work this paper cites.
M. Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick and J. Ruge, SIAM J. Sci. Comput. 25
2004
Earlier work this paper cites.

Similar

M. Lüscher, JHEP 0707
2007
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J. Brannick, R. C. Brower, M. A. Clark, J. C. Osborn and C. Rebbi, Phys. Rev. Lett. 100
2008
Cited alongside, same era.
R. B. Morgan and W. Wilcox, arXiv:0707.0505 [math-ph]
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J. M. Bulava et al
2009
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A. Stathopoulos and K. Orginos, SIAM J. Sci. Comput. 32
2010
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