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Reducing communication in algebraic multigrid using additive variants. (English) Zbl 1340.65304
The authors consider in the paper an additive algebraic multigrid (AMG) variant, which exhibits identical convergence behavior to multiplicative AMG, and several new variants of this method that are less expensive but still exhibit very good convergence properties. They analyze their computational, and communication costs, as well as memory requirements. They show improved solve times for the new variants over multiplicative AMG on a parallel computer. The results also show that these new AMG variants are effective at aleviating the difficulties caused by the increased size of coarse grid stencils typical for variational AMG.

MSC:
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65Y05 Parallel numerical computation
Software:
VAMPIR; hypre; MFEM; BoomerAMG
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References:
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