Adaptive multigrid algorithm for the QCD Dirac-Wilson operator

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

Adaptive multigrid algorithm for the QCD Dirac-Wilson operator

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

Research output: Contribution to journal › Conference article › peer-review

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 mild 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	029
Journal	Proceedings of Science
Volume	42
State	Published - 2007
Event	25th International Symposium on Lattice Field Theory, LATTICE 2007 - Regensburg, Germany Duration: Jul 30 2007 → Aug 4 2007

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title = "Adaptive multigrid algorithm for the QCD Dirac-Wilson operator",

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 mild critical slowing down in the chiral limit. Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model.",

author = "J. Brannick and Brower, {R. C.} and Clark, {M. A.} and Osborn, {J. C.} and C. Rebbi",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 25th International Symposium on Lattice Field Theory, LATTICE 2007 ; Conference date: 30-07-2007 Through 04-08-2007",

year = "2007",

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T1 - Adaptive multigrid algorithm for the QCD Dirac-Wilson operator

AU - Brannick, J.

AU - Brower, R. C.

AU - Clark, M. A.

AU - Osborn, J. C.

AU - Rebbi, C.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2007

Y1 - 2007

N2 - 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.

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 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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UR - http://www.scopus.com/inward/citedby.url?scp=85055421222&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055421222

SN - 1824-8039

VL - 42

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 029

T2 - 25th International Symposium on Lattice Field Theory, LATTICE 2007

Y2 - 30 July 2007 through 4 August 2007

ER -

Adaptive multigrid algorithm for the QCD Dirac-Wilson operator

Abstract

All Science Journal Classification (ASJC) codes

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