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Abstract
A graph matching is used to construct aggregation-based coarsening for an algebraic two-grid method. Effects of inexact coarse grid solve is analysed numerically for a highly discontinuous convection–diffusion coefficient matrix, and for problems from the Florida matrix market collection. The proposed strategy is found to be more robust compared to a classical algebraic multi-grid approach based on strength of connections. Basic properties of two-grid method are outlined.
Acknowledgements
Many thanks to Université libre de Bruxelles and KU Leuven for an ideal environment and the fond de la reserche scientifique (FNRS) Ref: 2011/V 6/5/004-IB/CS-15 that made this work possible. This work was funded by Fonds de la recherche scientifique (FNRS)(Ref: 2011/V 6/5/004-IB/CS-15) at Université Libre de Brussels, and the postdoctoral funding of KU Leuven, Belgium.