Iterative solution methods
Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
SIAM Journal on Scientific Computing
A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
SIAM Journal on Scientific Computing
Multigrid
A Note on Antireflective Boundary Conditions and Fast Deblurring Models
SIAM Journal on Scientific Computing
Theoretical Computer Science - Algebraic and numerical algorithm
V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems
SIAM Journal on Matrix Analysis and Applications
Multigrid Methods for Multilevel Circulant Matrices
SIAM Journal on Scientific Computing
A V-cycle Multigrid for multilevel matrix algebras: proof of optimality
Numerische Mathematik
Fast parallel solvers for elliptic problems
Computers & Mathematics with Applications
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In recent contributions, algebraic multigrid methods have been designed and studied from the viewpoint of spectral complementarity. In this note, we focus our efforts on specific applications and, more precisely, on large linear systems arising from the approximation of the weighted Laplacian with various boundary conditions. We adapt the multigrid idea to this specific setting and we present and critically discuss a wide set of numerical experiments showing the potentiality of the considered approach.