On the robustness of ILU smoothers on triangular grids
Applied Numerical Mathematics , Volume 106 p. 37- 52
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.
|Keywords||Multigrid, Incomplete factorization, ILU smoother, Local Fourier analysis|
|THEME||Null option (theme 11)|
|Journal||Applied Numerical Mathematics|
Pinto, M.A.V, Rodrigo, C, Gaspar, F.J, & Oosterlee, C.W. (2016). On the robustness of ILU smoothers on triangular grids. Applied Numerical Mathematics, 106, 37–52. doi:10.1016/j.apnum.2016.02.007