期刊
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
卷 11, 期 2-3, 页码 205-227出版社
WILEY-BLACKWELL
DOI: 10.1002/nla.378
关键词
compatible relaxation; adaptive algebraic multigrid
A proper coarse variable set for algebraic multigrid (AMG) solvers can be constructed using compatible relaxation (CR). For a given coarse set, CR is a modified relaxation scheme that keeps the values of the coarse variables intact. Its convergence factor is a predictor of the potential AMG efficiency, similarly to the smoothing factor in geometric multigrid. A practical, CR-based coarse set construction algorithm is presented. Numerical results for model problems are demonstrated. Copyright (C) 2004 John Wiley Sons, Ltd.
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