A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations
Journal of Computational Physics
Analysis of an algebraic Petrov--Galerkin smoothed aggregation multigrid method
Applied Numerical Mathematics
Towards Adaptive Smoothed Aggregation ($\alpha$SA) for Nonsymmetric Problems
SIAM Journal on Scientific Computing
On-the-Fly Adaptive Smoothed Aggregation Multigrid for Markov Chains
SIAM Journal on Scientific Computing
A hybrid multigrid method for convection-diffusion problems
Journal of Computational and Applied Mathematics
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We study an extension of the concept of smoothed aggregation to convection-diffusion equations. Since the approximation of the hyperbolic part of the equations yields unsymmetric matrices, the use of symmetric prolongator smoother is not efficient for the construction of the coarse convection matrices. This leads us to extend the concept of smoothed aggregation to the use of non-symmetric one-sided prolongator smoothers. In this paper, we also clarify the relationship that must exist between the degree of the prolongator polynomial smoother and the aggregation strategy. This work concludes by some numerical experiments illustrating the performance of the proposed method.