Aggregation-based Multilevel Methods for Lattice QCD
Abstract
In Lattice QCD computations a substantial amount of work is spent in solving the Dirac equation. In the recent past it has been observed that conventional Krylov solvers tend to critically slow down for large lattices and small quark masses. We present a Schwarz alternating procedure (SAP) multilevel method as a solver for the Clover improved Wilson discretization of the Dirac equation. This approach combines two components (SAP and algebraic multigrid) that have separately been used in lattice QCD before. In combination with a bootstrap setup procedure we show that considerable speed-up over conventional Krylov subspace methods for realistic configurations can be achieved.
Cite
@article{arxiv.1202.2462,
title = {Aggregation-based Multilevel Methods for Lattice QCD},
author = {Andreas Frommer and Karsten Kahl and Stefan Krieg and Björn Leder and Matthias Rottmann},
journal= {arXiv preprint arXiv:1202.2462},
year = {2012}
}
Comments
Talk presented at the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Lake Tahoe, California