Multigrid solver for clover fermions

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Abstract

We present an adaptive multigrid Dirac solver developed for Wilson clover fermions which offers order-of-magnitude reductions in solution time compared to conventional Krylov solvers. The solver incorporates even-odd preconditioning and mixed precision to solve the Dirac equation to double precision accuracy and shows only a mild increase in time to solution for decreasing quark mass. We show actual time to solution on production lattices in comparison to conventional Krylov solvers and will also discuss the setup process and its relative cost to the total solution time.

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Osborn, J. C., Babich, R., Brannick, J., Brower, R. C., Clark, M. A., Cohen, S. D., & Rebbi, C. (2010). Multigrid solver for clover fermions. In Proceedings of Science (Vol. 105). Sissa Medialab Srl. https://doi.org/10.22323/1.105.0037

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