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

doi:10.1007/978-3-540-34469-8_63

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 › Chapter

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
Publisher	Springer Verlag
Pages	505-512
Number of pages	8
ISBN (Print)	9783540344681
DOIs	https://doi.org/10.1007/978-3-540-34469-8_63
State	Published - 2007

Publication series

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

All Science Journal Classification (ASJC) codes

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-540-34469-8_63

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Brannick, J., Brezina, M., Keyes, D., Livne, O., Livshits, I., MacLachlan, S., Manteuffel, T., McCormick, S., Ruge, J., & Zikatanov, L. (2007). Adaptive Smoothed Aggregation in Lattice QCD. In Domain Decomposition Methods in Science and Engineering XVI (pp. 505-512). (Lecture Notes in Computational Science and Engineering; Vol. 55). Springer Verlag. https://doi.org/10.1007/978-3-540-34469-8_63

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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.",

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Brannick, J, Brezina, M, Keyes, D, Livne, O, Livshits, I, MacLachlan, S, Manteuffel, T, McCormick, S, Ruge, J & Zikatanov, L 2007, Adaptive Smoothed Aggregation in Lattice QCD. in Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol. 55, Springer Verlag, pp. 505-512. https://doi.org/10.1007/978-3-540-34469-8_63

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T1 - Adaptive Smoothed Aggregation in Lattice QCD

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

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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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Adaptive Smoothed Aggregation in Lattice QCD

Abstract

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