Adaptive multigrid algorithm for lattice QCD

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

doi:10.1103/PhysRevLett.100.041601

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 language	English (US)
Article number	041601
Journal	Physical review letters
Volume	100
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.100.041601
State	Published - Jan 28 2008

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.100.041601

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title = "Adaptive multigrid algorithm for lattice QCD",

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AU - Brower, R. C.

AU - Clark, M. A.

AU - Osborn, J. C.

AU - Rebbi, C.

PY - 2008/1/28

Y1 - 2008/1/28

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AB - 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.

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Adaptive multigrid algorithm for lattice QCD

Abstract

All Science Journal Classification (ASJC) codes

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