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Numerical Linear Algebra with Applications
Article . 2016 . Peer-reviewed
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Article . 2016
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Reducing complexity of algebraic multigrid by aggregation

Reducing complexity of algebraic multigrid by aggregation.
Authors: Serge Gratton; Pascal Hénon; Pavel Jiránek; Xavier Vasseur;

Reducing complexity of algebraic multigrid by aggregation

Abstract

SummaryA typical approach to decrease computational costs and memory requirements of classical algebraic multigrid methods is to replace a conservative coarsening algorithm and short‐distance interpolation on a fixed number of fine levels by an aggressive coarsening with a long‐distance interpolation. Although the quality of the resulting algebraic multigrid grid preconditioner often deteriorates in terms of convergence rates and iteration counts of the preconditioned iterative solver, the overall performance can improve substantially. We investigate here, as an alternative, a possibility to replace the classical aggressive coarsening by aggregation, which is motivated by the fact that the convergence of aggregation methods can be independent of the problem size provided that the number of levels is fixed. The relative simplicity of aggregation can lead to improved solution and setup costs. The numerical experiments show the relevance of the proposed combination on both academic and benchmark problems in reservoir simulation from oil industry. Copyright © 2016 John Wiley & Sons, Ltd.

Country
France
Keywords

Scalability experiments, Multigrid methods; domain decomposition for boundary value problems involving PDEs, 000, algebraic multigrid, aggregation, Reservoir simulation, Parallel numerical computation, elliptic partial differential equations, Elliptic partial differential equations, 510, Aggregation, reservoir simulations, scalability experiments, 518, Algèbres d'opérateurs, Algebraic multigrid, [INFO]Computer Science [cs]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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