On the robustness of ILU smoothers on triangular grids

M.A.V. Pinto, C. Rodrigo, F.J. Gaspar, C.W. Oosterlee
2016 Applied Numerical Mathematics  
In this work, incomplete factorization techniques are used as smoothers within a geometric multigrid algorithm on triangular grids. A local Fourier analysis is proposed to study the smoothing properties of these methods, as well as the asymptotic convergence of the whole multigrid procedure. With this purpose, two-and three-grid local Fourier analysis are performed. Several two-dimensional diffusion problems, including different kinds of anisotropy are considered to demonstrate the robustness of this type of methods.
doi:10.1016/j.apnum.2016.02.007 fatcat:72asoypbsve6zb6bwgt4bi2bke