Adaptive multigrid algorithm for lattice QCD

J. Brannick, R. C. Brower, M. A. Clark, J. C. Osborn, C. Rebbi

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Abstract

We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space. The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit. Results are presented for the Wilson-Dirac operator of the 2D U(1) Schwinger model.

Original languageEnglish (US)
Article number041601
JournalPhysical review letters
Volume100
Issue number4
DOIs
StatePublished - Jan 28 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Brannick, J., Brower, R. C., Clark, M. A., Osborn, J. C., & Rebbi, C. (2008). Adaptive multigrid algorithm for lattice QCD. Physical review letters, 100(4), [041601]. https://doi.org/10.1103/PhysRevLett.100.041601