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Scientific Programming
Volume 20 (2012), Issue 3, Pages 223-239

Design Considerations for a Flexible Multigrid Preconditioning Library

Jérémie Gaidamour,1 Jonathan Hu,2 Chris Siefert,1 and Ray Tuminaro2

1Sandia National Laboratories, Albuquerque, NM, USA
2Sandia National Laboratories, Livermore, CA, USA

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


MueLu is a library within the Trilinos software project [An overview of Trilinos, Technical Report SAND2003-2927, Sandia National Laboratories, 2003] and provides a framework for parallel multigrid preconditioning methods for large sparse linear systems. While providing efficient implementations of modern multigrid methods based on smoothed aggregation and energy minimization concepts, MueLu is designed to be customized and extended. This article gives an overview of design considerations for the MueLu package: user interfaces, internal design, data management, usage of modern software constructs, leveraging Trilinos capabilities, linear algebra operations and advanced application.