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
Pursuing scalability for hypre's conceptual interfaces
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Reducing Complexity in Parallel Algebraic Multigrid Preconditioners
SIAM Journal on Matrix Analysis and Applications
An Introduction to Algebraic Multigrid
Computing in Science and Engineering
AMG for linear systems in engine flow simulations
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
On-the-Fly Adaptive Smoothed Aggregation Multigrid for Markov Chains
SIAM Journal on Scientific Computing
Combining smoother and residual calculation in v-cycle AMG for symmetric problems
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
Parallel coarse-grid treatment in AMG for coupled systems
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Efficient setup of aggregation AMG for CFD on GPUs
PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing
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In engineering practice quite simple algebraic multigrid (AMG) methods with inexpensive coarse-grid selection and constant interpolation are frequently found to be the method of choice to solve systems of linear equations where accurate solutions of these systems are not needed. In a case study we analyze the poor parallel performance of such algorithms on common multicore cluster architectures and suggest using a class of algorithms with hybrid coarse-grid selection featuring a superior parallel performance.