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Solution of the Dirac equation in lattice QCD using a domain decomposition method
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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.
Forward citations
Cited by 2 Pith papers
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Update on two-level sampling for glueball observables in quenched QCD
Combining distillation with two-level sampling reduces the statistical error of disconnected diagrams in quenched QCD, with variance scaling as 1/N1^2 when the quark loops are in different regions.
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