SciELO - Scientific Electronic Library Online

 
vol.10 issue2Heuristic solutions related to challenges of optical burst switching paradigmAn automatic methodology for obtaining optimum shape factors for the radial point interpolation method author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Journal of Microwaves, Optoelectronics and Electromagnetic Applications

On-line version ISSN 2179-1074

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.

        · text in English     · pdf in English