@article{84388266783d47e5b8f68fc40ef4a0de,
title = "Adaptive multigrid algorithm for the QCD Dirac-Wilson operator",
abstract = "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.",
author = "J. Brannick and Brower, {R. C.} and Clark, {M. A.} and Osborn, {J. C.} and C. Rebbi",
note = "Funding Information: Current research is focussed on applying this adaptive MG algorithm to the Dirac operator directly, as opposed to the normal equations. Here we are motivated to do so because of the reduced condition number and the increased sparsity of the operator. There are added complications because the Dirac operator isn{\textquoteright}t Hermitian (this requires that the restriction and prolongation operators are defined using left and right vectors respectively), however, initial progress is extremely promising. The application of the method to large 4-dimensional systems is in progress, Acknowledgments. This research was supported in part under NSF grant PHY-0427646 and DOE grants DE-FG02-91ER40676 and DE-FC02-06ER41440. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 25th International Symposium on Lattice Field Theory, LATTICE 2007 ; Conference date: 30-07-2007 Through 04-08-2007",
year = "2007",
language = "English (US)",
volume = "42",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",
}