A New Multilevel Smoothing Method for Wavelet-Based Algebraic Multigrid Poisson Problem Solver

Ano: 2011 | Volume: 10 | Número: 2

Autores: Fabio Henrique Pereira, Kleber Rogério Moreira Prado

Palavras-chave: Algebraic Multigrid, Gauss-Seidel Method, Multilevel Smoother, Poisson Problem, Projection Technique, Smoothing Method.

Resumo Inglês:

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.