The role of multigrid algorithms for LQCD

Details The role of multigrid algorithms for LQCD The role of multigrid algorithms for LQCD

2009-12-11

arxiv.org/abs/0912.2186v1

PoS LAT2009:031,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, Presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Universit

Scientific paper

We report on the first successful QCD multigrid algorithm which demonstrates constant convergence rates independent of quark mass and lattice volume for the Wilson Dirac operator. The new ingredient is the adaptive method for constructing the near null space on which the coarse grid multigrid Dirac operator acts. In addition we speculate on future prospects for extending this algorithm to the Domain Wall and Staggered discretizations, its exceptional suitability for high performance GPU code and its potential impact on simulations at the physical pion mass.

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