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@ARTICLE{Frommer:154931,
      author       = {Frommer, A. and Kahl, K. and Krieg, S. and Leder, B. and
                      Rottmann, M.},
      title        = {{A}daptive {A}ggregation-{B}ased {D}omain {D}ecomposition
                      {M}ultigrid for the {L}attice {W}ilson-{D}irac {O}perator},
      journal      = {SIAM journal on scientific computing},
      volume       = {36},
      number       = {4},
      issn         = {1095-7197},
      address      = {Philadelphia, Pa.},
      publisher    = {SIAM},
      reportid     = {FZJ-2014-04142},
      pages        = {A1581 - A1608},
      year         = {2014},
      note         = {arXiv:1303.1377},
      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.},
      cin          = {JSC},
      ddc          = {004},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411)},
      pid          = {G:(DE-HGF)POF2-411},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000344743800010},
      doi          = {10.1137/130919507},
      url          = {https://juser.fz-juelich.de/record/154931},
}