Applications of Mathematics, Vol. 63, No. 6, pp. 629-641, 2018
Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening
Radek Tezaur, Petr Vaněk
Received November 13, 2017. Published online November 23, 2018.
Abstract: A variational two-level method in the class of methods with an aggressive coarsening and a massive polynomial smoothing is proposed. The method is a modification of the method of Section 5 of Tezaur, Vaněk (2018). Compared to that method, a significantly sharper estimate is proved while requiring only slightly more computational work.
Affiliations: Radek Tezaur, Department of Aeronautics and Astronautics, Stanford University, Durand Building, 496 Lomita Mall, Stanford, CA 94305, USA, e-mail: firstname.lastname@example.org; Petr Vaněk, Department of Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Plzeň, Czech Republic, e-mail: email@example.com