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

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 journal › Conference article › peer-review

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 language	English (US)
Journal	Proceedings of Science
Volume	91
State	Published - 2009
Event	27th International Symposium on Lattice Field Theory, LAT 2009 - Beijing, China Duration: Jul 26 2009 → Jul 31 2009

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title = "The role of multigrid algorithms for LQCD",

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.",

author = "Ronald Babich and James Brannick and Brower, {Richard C.} and Clark, {Michael A.} and Cohen, {Saul D.} and Osborn, {James C.} and Claudio Rebbi",

note = "Funding Information: This work was supported in part by US DOE grants DE-FG02-91ER40676 and DE-FC02-06ER41440 and NSF grants DGE-0221680, PHY-0427646, OCI-0749300 and OCI-0749202. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 27th International Symposium on Lattice Field Theory, LAT 2009 ; Conference date: 26-07-2009 Through 31-07-2009",

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language = "English (US)",

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TY - JOUR

T1 - The role of multigrid algorithms for LQCD

AU - Babich, Ronald

AU - Brannick, James

AU - Brower, Richard C.

AU - Clark, Michael A.

AU - Cohen, Saul D.

AU - Osborn, James C.

AU - Rebbi, Claudio

N1 - Funding Information: This work was supported in part by US DOE grants DE-FG02-91ER40676 and DE-FC02-06ER41440 and NSF grants DGE-0221680, PHY-0427646, OCI-0749300 and OCI-0749202. Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:84987744603

SN - 1824-8039

VL - 91

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 27th International Symposium on Lattice Field Theory, LAT 2009

Y2 - 26 July 2009 through 31 July 2009

ER -

The role of multigrid algorithms for LQCD

Abstract

All Science Journal Classification (ASJC) codes

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