A parallel graph coloring heuristic
SIAM Journal on Scientific Computing
Convergence of Algebraic Multigrid Based on Smoothed Aggregation
Convergence of Algebraic Multigrid Based on Smoothed Aggregation
A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations
Journal of Computational Physics
A parallel rendezvous algorithm for interpolation between multiple grids
Journal of Parallel and Distributed Computing
Proceedings of the 2003 ACM/IEEE conference on Supercomputing
Relaxed RS0 or CLJP coarsening strategy for parallel AMG
Parallel Computing
On the development of PSBLAS-based parallel two-level Schwarz preconditioners
Applied Numerical Mathematics
Journal of Computational Physics
Irregularity handling via structured parallel programming
International Journal of Computational Science and Engineering
Journal of Computational Physics
A HPC sparse solver interface for scalable multilevel methods
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations
Journal of Computational Physics
ACM Transactions on Mathematical Software (TOMS)
AMG for linear systems in engine flow simulations
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
Adaptive Techniques for Improving the Performance of Incomplete Factorization Preconditioning
SIAM Journal on Scientific Computing
Improvements of a fast parallel poisson solver on irregular domains
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I
A Quasi-algebraic Multigrid Approach to Fracture Problems Based on Extended Finite Elements
SIAM Journal on Scientific Computing
Architecting the finite element method pipeline for the GPU
Journal of Computational and Applied Mathematics
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Algebraic multigrid methods offer the hope that multigrid convergence can be achieved (for at least some important applications) without a great deal of effort from engineers and scientists wishing to solve linear systems. In this paper we consider parallelization of the smoothed aggregation multigrid method. Smoothed aggregation is one of the most promising algebraic multigrid methods. Therefore, developing parallel variants with both good convergence and efficiency properties is of greatimportance. However, parallelization is nontrivial due to the somewhat sequential aggregation (or grid coarsening) phase. In this paper, we discuss three different parallel aggregation algorithms and illustrate the advantages and disadvantages of each variant in terms of parallelism and convergence. Numerical results will be shown on the Intel Teraflop computer for some large problems coming from nontrivial codes: quasi-static electric potential simulation and a fluid flow calculation.