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 mild critical slowing down in the chiral limit. Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model.
@article{arxiv.0710.3612,
title = {Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator},
author = {J. Brannick and R. C. Brower and M. A. Clark and J. C. Osborn and C. Rebbi},
journal= {arXiv preprint arXiv:0710.3612},
year = {2008}
}