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Journal of Microwaves, Optoelectronics and Electromagnetic Applications
On-line version ISSN 2179-1074
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.