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Adaptive Multigrid Algorithm for Lattice QCD · Around

2007

Adaptive Multigrid Algorithm for Lattice QCD

Brannick, J., Brower, R. C., Clark, M. A. et al.

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We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields.

The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space.
The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit.
Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model.

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Math. Comp
A. Brandt · 1977
Earlier work this paper cites.
Nucl. Phys
Richard C. Brower, Robert G. Edwards, Claudio Rebbi, and Ettore Vicari · 1991
Earlier work this paper cites.
Phys. Lett
D.B. Kaplan · 1992
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Then

Lecture Notes in Computational Science and Engineering
J. Brannick, M. Brezina, D. Keyes, O. Livne, I. Livshits, S. MacLachlan, T. Manteuffel, S. McCormick, J. Ruge, and L. Zikatanov · 2006
Later among the works it cites.
2007 (arXiv:0706.2298 [hep-lat])
Original
M. Lüscher · 2007
Closest in time.

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