Abstract

PEREIRA, Fabio Henrique; PRADO, Kleber Rogério Moreira  and  NABETA, Silvio Ikuyo. A new multilevel smoothing method for wavelet-based algebraic multigrid poisson problem solver. J. Microw. Optoelectron. Electromagn. Appl. [online]. 2011, vol.10, n.2, pp. 379-388. ISSN 2179-1074.  http://dx.doi.org/10.1590/S2179-10742011000200008.

In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very important to develop new smoother methods, especially for those cases where the classical Gauss-Seidel smoothing method does not give good results. This paper proposes a new multilevel smoothing approach based on projection technique. The proposed smoothing method was applied to smoothing the error in a linear systems issued from finite element solutions of the elliptic equation and the results compared with those obtained from the Gauss-Seidel method.

Keywords : Algebraic Multigrid; Gauss-Seidel Method; Multilevel Smoother; Poisson Problem; Projection Technique; Smoothing Method.