Journal Article

FZJ-2014-04142

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator

Frommer, A. (Corresponding Author) ; Kahl, K. ; Krieg, S.FZJ* ; Leder, B. ; Rottmann, M.

2014
SIAM Philadelphia, Pa.

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Please use a persistent id in citations: http://hdl.handle.net/2128/10232  doi:10.1137/130919507

Abstract: In lattice quantum chromodynamics (QCD) computations a substantial amount of work is spent in solving discretized versions of the Dirac equation. Conventional Krylov solvers show critical slowing down for large system sizes and physically interesting parameter regions. We present a domain decomposition adaptive algebraic multigrid method used as a preconditioner to solve the “clover improved” Wilson discretization of the Dirac equation. This approach combines and improves two approaches, namely domain decomposition and adaptive algebraic multigrid, that have been used separately in lattice QCD before. We show in extensive numerical tests conducted with a parallel production code implementation that considerable speedup can be achieved compared to conventional Krylov subspace methods, domain decomposition methods, and other hierarchical approaches for realistic system sizes.

Note: arXiv:1303.1377

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 411 - Computational Science and Mathematical Methods (POF2-411) (POF2-411)

Appears in the scientific report 2014

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Database coverage:
; ; Current Contents - Life Sciences ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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