A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Multigrid
BoomerAMG: a parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Paper: Performance parameters and benchmarking of supercomputers
Parallel Computing
AMG for linear systems in engine flow simulations
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
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In iterative solution procedures for problems in science and engineering, AMG methods with inexpensive computation of the hierarchy of coarse-grid operators are a good choice to solve systems of linear equations where accurate solutions of these systems are not needed. In this contribution we demonstrate that the parallel performance of this kind of algorithm is significantly improved if they are applied in combination with the Smoothed Aggregation approach, since this reduces the number of communication events. The resulting hybrid algorithms are particularly beneficial on systems where the number of messages limits the performance.