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 proceedingChapter

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 languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
PublisherSpringer Verlag
Pages505-512
Number of pages8
ISBN (Print)9783540344681
DOIs
StatePublished - 2007

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)1439-7358

All Science Journal Classification (ASJC) codes

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

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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