Solution of the Dirac equation in lattice QCD using a domain decomposition method

Details Solution of the Dirac equation in lattice QCD using a domain decomposition method Solution of the Dirac equation in lattice QCD using a domain decomposition method

2003-10-20

arxiv.org/abs/hep-lat/0310048v1

Comput.Phys.Commun. 156 (2004) 209-220

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX source, 21 pages, figures included

Scientific paper

10.1016/S0010-4655(03)00486-7

Efficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this context, and such a combination is shown here to perform very well in the case of the Wilson--Dirac equation in lattice QCD. In particular, with respect to even-odd preconditioned solvers, the communication overhead is significantly reduced, which allows the computational work to be distributed over a large number of processors with only small parallelization losses.

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