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Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator

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arxiv 0710.3612 v2 pith:M4S3S3OR submitted 2007-10-18 hep-lat

Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator

J. Brannick , R. C. Brower , M. A. Clark , J. C. Osborn , C. Rebbi This is my paper
classification hep-lat
keywords algorithmoperatoradaptivediracgaugemultigridbehindchiral
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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 mild critical slowing down in the chiral limit. Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model.

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