Scaling Algebraic Multigrid Solvers: On the Road to Exascale

  • Allison H. Baker
  • Robert D. Falgout
  • Todd Gamblin
  • Tzanio V. Kolev
  • Martin Schulz
  • Ulrike Meier YangEmail author
Conference paper


Algebraic Multigrid (AMG) solvers are an essential component of many large-scale scientific simulation codes. Their continued numerical scalability and efficient implementation is critical for preparing these codes for exascale. Our experiences on modern multi-core machines show that significant challenges must be addressed for AMG to perform well on such machines. We discuss our experiences and describe the techniques we have used to overcome scalability challenges for AMG on hybrid architectures in preparation for exascale.



This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344. It also used resources of the Argonne Leadership Computing Facility at Argonne National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under contract DE-AC02-06CH11357, as well as resources of the National Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. These resources were made available via the Performance Evaluation and Analysis Consortium End Station, a Department of Energy INCITE project. Neither Contractor, DOE, or the U.S. Government, nor any person acting on their behalf: (a) makes any warranty or representation, express or implied, with respect to the information contained in this document; or (b) assumes any liabilities with respect to the use of, or damages resulting from the use of any information contained in the document.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Allison H. Baker
    • 1
  • Robert D. Falgout
    • 1
  • Todd Gamblin
    • 1
  • Tzanio V. Kolev
    • 1
  • Martin Schulz
    • 1
  • Ulrike Meier Yang
    • 1
    Email author
  1. 1.Lawrence Livermore National LaboratoryCenter for Applied Scientific ComputingLivermoreUSA

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