On the multigrid F-cycle
The authors investigate the convergence properties of the multigrid F- cycle in the case of \(H^{1+\alpha}\)-regularity, \(\alpha <1\), of the considered second-order elliptic problem. They obtain the asymptotic bound \(1-O(k^{-(1-\alpha)^ 2/\alpha})\) of the convergence rate, where k denotes the number of levels. They also show that in many cases, for practical values of k, one gets the same bound for the F-cycle as for the V-cycle with \(\alpha =1\).
scientific article; zbMATH DE number 4153832
scientific article