Journal
PHYSICAL REVIEW LETTERS
Volume 105, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.201602
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Funding
- DOE [DE-FG02-91ER40676, DE-FC02-06ER41440, DE-FG02-03ER25574, DE-FC02-06ER25784]
- Lawrence Livermore National Laboratory [B568677, B574163, B568399]
- NSF [PHY-0427646, OCI-0749202, OCI-0749317, OCI-0749300, DGE-0221680, DMS-0810982]
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [0749300] Funding Source: National Science Foundation
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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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