Abstract
AbstractWe discuss the advantages of using algebraic multigrid based on smoothed aggregation for solving indefinite linear problems. The ingredients of smoothed aggregation are used to construct a black‐box monolithic multigrid method with indefinite coarse problems. Although we discuss some techniques for enforcing the uniform inf‐sup stability on all coarse levels, numerical experiments suggest that it is not strictly necessary. The proposed multigrid preconditioner shows robust behaviour for different time‐step parameters and even for very elongated geometries, where other techniques based on h ‐independent preconditioners of the pressure Schur complement lose their efficiency. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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