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Detection of Strong Coupling in Algebraic Multigrid Solvers

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Book cover Multigrid Methods VI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 14))

Abstract

Based on abstract convergence theory for the smoothed aggregation multigrid method [6], we present a new method for detecting strong connections (couplings) in matrices obtained by discretization (and subsequent coarsening) of elliptic problems. Although the coupling evaluation given here has been derived in connection with smoothed aggregation algorithm, it is fully applicable in any AMG method, providing zero-energy modes are available in the solver.

Supported by NSF under Contact ASC-9720257, NASA Ames under contact NAG2-1238 and Sandia Nat’l Lab under contact LG-4440.

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Author information

Authors and Affiliations

  1. Dept of Mathematics, UCLA, USA

    Tony F. Chan & Petr Vanek

Authors
  1. Tony F. Chan
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  2. Petr Vanek
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Editor information

Editors and Affiliations

  1. Department of Flow, Heat and Combustion Mechanics, University of Gent, Sint-Pietersnieuwstraat 41, 9000, Gent, Belgium

    Erik Dick , Kris Riemslagh  & Jan Vierendeels ,  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Chan, T.F., Vanek, P. (2000). Detection of Strong Coupling in Algebraic Multigrid Solvers. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-58312-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67157-2

  • Online ISBN: 978-3-642-58312-4

  • eBook Packages: Springer Book Archive

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