Aggregation-based Multilevel Methods for Lattice QCD

Details Aggregation-based Multilevel Methods for Lattice QCD Aggregation-based Multilevel Methods for Lattice QCD

2012-02-11

arxiv.org/abs/1202.2462v1

PoS(Lattice 2011)046

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at the XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Lake Tahoe, California

Scientific paper

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.

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