Solution of the Dirac equation in lattice QCD using a domain decomposition method

Efficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this context, and such a combination is shown here to perform very wel...

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Detalles Bibliográficos
Autor principal: Luscher, Martin
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0010-4655(03)00486-7
http://cds.cern.ch/record/677728
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author Luscher, Martin
author_facet Luscher, Martin
author_sort Luscher, Martin
collection CERN
description Efficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this context, and such a combination is shown here to perform very well in the case of the Wilson--Dirac equation in lattice QCD. In particular, with respect to even-odd preconditioned solvers, the communication overhead is significantly reduced, which allows the computational work to be distributed over a large number of processors with only small parallelization losses.
id cern-677728
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6777282023-10-04T06:39:16Zdoi:10.1016/S0010-4655(03)00486-7http://cds.cern.ch/record/677728engLuscher, MartinSolution of the Dirac equation in lattice QCD using a domain decomposition methodParticle Physics - LatticeEfficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this context, and such a combination is shown here to perform very well in the case of the Wilson--Dirac equation in lattice QCD. In particular, with respect to even-odd preconditioned solvers, the communication overhead is significantly reduced, which allows the computational work to be distributed over a large number of processors with only small parallelization losses.Efficient algorithms for the solution of partial differential equations on parallel computers are often based on domain decomposition methods. Schwarz preconditioners combined with standard Krylov space solvers are widely used in this context, and such a combination is shown here to perform very well in the case of the Wilson--Dirac equation in lattice QCD. In particular, with respect to even-odd preconditioned solvers, the communication overhead is significantly reduced, which allows the computational work to be distributed over a large number of processors with only small parallelization losses.hep-lat/0310048CERN-TH-2003-250CERN-TH-2003-250oai:cds.cern.ch:6777282003-10-20
spellingShingle Particle Physics - Lattice
Luscher, Martin
Solution of the Dirac equation in lattice QCD using a domain decomposition method
title Solution of the Dirac equation in lattice QCD using a domain decomposition method
title_full Solution of the Dirac equation in lattice QCD using a domain decomposition method
title_fullStr Solution of the Dirac equation in lattice QCD using a domain decomposition method
title_full_unstemmed Solution of the Dirac equation in lattice QCD using a domain decomposition method
title_short Solution of the Dirac equation in lattice QCD using a domain decomposition method
title_sort solution of the dirac equation in lattice qcd using a domain decomposition method
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0010-4655(03)00486-7
http://cds.cern.ch/record/677728
work_keys_str_mv AT luschermartin solutionofthediracequationinlatticeqcdusingadomaindecompositionmethod

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