Tuesday, May 15, 2012

1205.2933 (Saul D. Cohen et al.)

Multigrid Algorithms for Domain-Wall Fermions    [PDF]

Saul D. Cohen, R. C. Brower, M. A. Clark, J. C. Osborn
We describe an adaptive multigrid algorithm for solving inverses of the domain-wall fermion operator. Our multigrid algorithm uses an adaptive projection of near-null vectors of the domain-wall operator onto coarser four-dimensional lattices. This extension of multigrid techniques to a chiral fermion action will greatly reduce overall computation cost, and the elimination of the fifth dimension in the coarse space reduces the relative cost of using chiral fermions compared to discarding this symmetry. We demonstrate near-elimination of critical slowing as the quark mass is reduced and small volume dependence, which may be suppressed by taking advantage of the recursive nature of the algorithm.
View original: http://arxiv.org/abs/1205.2933

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