The role of multigrid algorithms for LQCD

Ronald Babich, James Brannick, Richard C. Brower, Michael A. Clark, Saul D. Cohen, James C. Osborn, Claudio Rebbi

Research output: Contribution to journalConference article

2 Scopus citations

Abstract

We report on the first successful QCD multigrid algorithm which demonstrates constant convergence rates independent of quark mass and lattice volume for the Wilson Dirac operator. The new ingredient is the adaptive method for constructing the near null space on which the coarse grid multigrid Dirac operator acts. In addition we speculate on future prospects for extending this algorithm to the Domain Wall and Staggered discretizations, its exceptional suitability for high performance GPU code and its potential impact on simulations at the physical pion mass.

Original languageEnglish (US)
JournalProceedings of Science
Volume91
StatePublished - Jan 1 2009
Event27th International Symposium on Lattice Field Theory, LAT 2009 - Beijing, China
Duration: Jul 26 2009Jul 31 2009

All Science Journal Classification (ASJC) codes

  • General

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    Babich, R., Brannick, J., Brower, R. C., Clark, M. A., Cohen, S. D., Osborn, J. C., & Rebbi, C. (2009). The role of multigrid algorithms for LQCD. Proceedings of Science, 91.