Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

The paper presents a convergence analysis of a multigrid solver for a system of linear algebraic equations resulting from the discretization of a convection-diffusion problem using a finite element ...

SIAM Journal on Numerical Analysis, Vol. 33, No. 1 (Feb., 1996), pp. 399-416 (18 pages) We use Fourier analysis to examine multigrid convergence for a variety of discretizations of the two-dimensional ...

First developed in 1998, the hypre team has adapted their cross-platform high performance library to support a variety of machine architectures over the years. Hypre supports scalable solvers and ...

Cascadic multigrid methods represent a class of iterative solvers that have been developed to efficiently tackle the large-scale linear systems arising from the discretisation of partial differential ...