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 proceedingConference contributionpeer-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 languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
Pages505-512
Number of pages8
Volume55
StatePublished - 2007
Externally publishedYes

Publication series

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

ASJC Scopus subject areas

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

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