TY - JOUR
T1 - On the robustness of ILU smoothers on triangular grids
AU - Pinto, M.A.V.
AU - Rodrigo, C.
AU - Gaspar, F.J.
AU - Oosterlee, C.W.
PY - 2016/8
Y1 - 2016/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-84961990754&partnerID=MN8TOARS
U2 - 10.1016/j.apnum.2016.02.007
DO - 10.1016/j.apnum.2016.02.007
M3 - Article
SN - 0168-9274
VL - 106
SP - 37
EP - 52
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -