Adaptive Smoothed Aggregation in Lattice QCD

James Brannick; Marian Brezina; David Keyes; Oren Livne; Irene Livshits; Scott MacLachlan; Tom Manteuffel; Steve McCormick; John Ruge; Ludmil Zikatanov

Adaptive Smoothed Aggregation in Lattice QCD

James Brannick, Marian Brezina, David Keyes, Oren Livne, Irene Livshits, Scott MacLachlan, Tom Manteuffel, Steve McCormick, John Ruge, Ludmil Zikatanov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

The linear systems arising in lattice quantum chromodynamics (QCD) pose significant challenges for traditional iterative solvers. The Dirac operator associated with these systems is nearly singular, indicating the need for efficient preconditioners. Multilevel preconditioners cannot, however, be easily constructed for these systems becasue the Dirac operator has multiple locally distinct near-kernel components (the so-called slow-to-converge error components of relaxation) that are generally both oscillatory and not known a priori.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XVI
Pages	505-512
Number of pages	8
Volume	55
State	Published - 2007
Externally published	Yes

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	55
ISSN (Print)	1439-7358

ASJC Scopus subject areas

Engineering(all)
Computational Mathematics
Modeling and Simulation
Control and Optimization
Discrete Mathematics and Combinatorics

Cite this

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AU - Brannick, James

AU - Brezina, Marian

AU - Keyes, David

AU - Livne, Oren

AU - Livshits, Irene

AU - MacLachlan, Scott

AU - Manteuffel, Tom

AU - McCormick, Steve

AU - Ruge, John

AU - Zikatanov, Ludmil

PY - 2007

Y1 - 2007

N2 - The linear systems arising in lattice quantum chromodynamics (QCD) pose significant challenges for traditional iterative solvers. The Dirac operator associated with these systems is nearly singular, indicating the need for efficient preconditioners. Multilevel preconditioners cannot, however, be easily constructed for these systems becasue the Dirac operator has multiple locally distinct near-kernel components (the so-called slow-to-converge error components of relaxation) that are generally both oscillatory and not known a priori.

AB - The linear systems arising in lattice quantum chromodynamics (QCD) pose significant challenges for traditional iterative solvers. The Dirac operator associated with these systems is nearly singular, indicating the need for efficient preconditioners. Multilevel preconditioners cannot, however, be easily constructed for these systems becasue the Dirac operator has multiple locally distinct near-kernel components (the so-called slow-to-converge error components of relaxation) that are generally both oscillatory and not known a priori.

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M3 - Conference contribution

AN - SCOPUS:55549115490

SN - 9783540344681

VL - 55

T3 - Lecture Notes in Computational Science and Engineering

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EP - 512

BT - Domain Decomposition Methods in Science and Engineering XVI

ER -

Adaptive Smoothed Aggregation in Lattice QCD

Abstract

Publication series

ASJC Scopus subject areas

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