Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator

作     者：R. Babich J. Brannick R. C. Brower M. A. Clark T. A. Manteuffel S. F. McCormick J. C. Osborn C. Rebbi 

作者机构：Center for Computational Science Boston University 3 Cummington Street Boston Massachusetts 02215 USA Department of Physics Boston University 590 Commonwealth Avenue Boston Massachusetts 02215 USA Department of Mathematics The Pennsylvania State University 230 McAllister Building University Park Pennsylvania 16802 USA Harvard-Smithsonian Center for Astrophysics 60 Garden Street Cambridge Massachusetts 02138 USA Department of Applied Mathematics Campus Box 526 University of Colorado at Boulder Boulder Colorado 80309 USA Argonne Leadership Computing Facility Argonne National Laboratory Argonne Illinois 60439 USA 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：2010年第105卷第20期

页      面：201602-201602页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Science Foundation, NSF, (0221680, 0427646, 0749202, 0749300, 0749317, 0810982) National Science Foundation, NSF 

摘      要：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 γ5-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.