The removal of critical slowing down

M. A. Clark; J. Brannick; R. C. Brower; S. F. McCormick; T. A. Manteuffel; J. C. Osborn; C. Rebbi

The removal of critical slowing down

M. A. Clark, J. Brannick, R. C. Brower, S. F. McCormick, T. A. Manteuffel, J. C. Osborn, C. Rebbi

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

Abstract

We present promising initial results of our adaptive multigrid solver developed for application directly to the non-Hermitian Wilson-Dirac system in 4 dimensions, as opposed to the solver developed in [1] for the corresponding normal equations. The key behind the success of this algorithm is the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix. We demonstrate that the resulting algorithm has weak dependence on the gauge coupling and exhibits extremely mild critical slowing down in the chiral limit.

Original language	English (US)
Journal	Proceedings of Science
Volume	66
State	Published - 2008
Event	26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States Duration: Jul 14 2008 → Jul 19 2008

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@article{107373675283427a865d7353ac35f166,

title = "The removal of critical slowing down",

abstract = "We present promising initial results of our adaptive multigrid solver developed for application directly to the non-Hermitian Wilson-Dirac system in 4 dimensions, as opposed to the solver developed in [1] for the corresponding normal equations. The key behind the success of this algorithm is the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix. We demonstrate that the resulting algorithm has weak dependence on the gauge coupling and exhibits extremely mild critical slowing down in the chiral limit.",

author = "Clark, {M. A.} and J. Brannick and Brower, {R. C.} and McCormick, {S. F.} and Manteuffel, {T. 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.; 26th International Symposium on Lattice Field Theory, LATTICE 2008 ; Conference date: 14-07-2008 Through 19-07-2008",

year = "2008",

language = "English (US)",

volume = "66",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - The removal of critical slowing down

AU - Clark, M. A.

AU - Brannick, J.

AU - Brower, R. C.

AU - McCormick, S. F.

AU - Manteuffel, T. 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 - 2008

Y1 - 2008

N2 - We present promising initial results of our adaptive multigrid solver developed for application directly to the non-Hermitian Wilson-Dirac system in 4 dimensions, as opposed to the solver developed in [1] for the corresponding normal equations. The key behind the success of this algorithm is the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix. We demonstrate that the resulting algorithm has weak dependence on the gauge coupling and exhibits extremely mild critical slowing down in the chiral limit.

AB - We present promising initial results of our adaptive multigrid solver developed for application directly to the non-Hermitian Wilson-Dirac system in 4 dimensions, as opposed to the solver developed in [1] for the corresponding normal equations. The key behind the success of this algorithm is the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix. We demonstrate that the resulting algorithm has weak dependence on the gauge coupling and exhibits extremely mild critical slowing down in the chiral limit.

UR - http://www.scopus.com/inward/record.url?scp=85021412855&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021412855&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85021412855

SN - 1824-8039

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 26th International Symposium on Lattice Field Theory, LATTICE 2008

Y2 - 14 July 2008 through 19 July 2008

ER -

The removal of critical slowing down

Abstract

All Science Journal Classification (ASJC) codes

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