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SIAM journal on scientific computing, 2000, Vol.21 (5), p.1886-1908
Ort / Verlag
Philadelphia, PA: Society for Industrial and Applied Mathematics
Erscheinungsjahr
2000
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Algebraic multigrid (AMG) is currently undergoing a resurgence in popularity, due in part to the dramatic increase in the need to solve physical problems posed on very large, unstructured grids. While AMG has proved its usefulness on various problem types, it is not commonly understood how wide a range of applicability the method has. In this study, we demonstrate that range of applicability, while describing some of the recent advances in AMG technology. Moreover, in light of the imperatives of modern computer environments, we also examine AMG in terms of algorithmic scalability. Finally, we show some of the situations in which standard AMG does not work well and indicate the current directions taken by AMG researchers to alleviate these difficulties.