An adaptive aggregation based domain decomposition multilevel method for the lattice wilson dirac operator: multilevel results

摘要

In lattice QCD computations a substantial amount of work is spent in solvinglinear systems arising in Wilson's discretization of the Dirac equations. Weshow first numerical results of the extension of the two-level DD-\alpha AMGmethod to a true multilevel method based on our parallel MPI-C implementation.Using additional levels pays off, allowing to cut down the core minutes spenton one system solve by a factor of approximately 700 compared to standardKrylov subspace methods and yielding another speed-up of a factor of 1.7 overthe two-level approach.