Compatible Relaxation and Coarsening in Algebraic Multigrid
Abstract
We introduce a coarsening algorithm for algebraic multigrid (AMG) based on the concept of compatible relaxation (CR). The algorithm is significantly different from standard methods, most notably because it does not rely on any notion of strength of connection. We study its behavior on a number of model problems and evaluate the performance of an AMG algorithm that incorporates the coarsening approach. Finally, we introduce a variant of CR that provides a sharper metric of coarse-grid quality and demonstrate its potential with two simple examples.
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Published In
SIAM Journal on Scientific Computing
Pages: 1393 - 1416
DOI: 10.1137/090772216
ISSN (online): 1095-7197
Copyright
Copyright © 2010 Society for Industrial and Applied Mathematics.
History
Submitted: 25 September 2009
Accepted: 22 February 2010
Published online: 21 May 2010
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