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Aplicação do pré-condicionador Multigrid Algébrico baseado em Wavelet no cálculo de campos magnéticos não lineares

Author(s): Fabio Henrique Pereira | Silvio Ikuyo Nabeta

Journal: Exacta
ISSN 1678-5428

Volume: 7;
Issue: 2;
Start page: 173;
Date: 2009;
Original page

In this work the performance of ¿-cycle wavelet-based algebraic multigrid preconditioner for iterative methods is investigated. The method is applied as a preconditioner for the classical iterative methods Bi-Conjugate Gradient Stabilized (BiCGStab), Generalized Minimum Residual (GMRes) and Conjugate Gradient (CG) to the solution of non-linear system of algebraic equations from the analysis of a switched reluctance motor with ferromagnetic material the steel S45C and nonlinear magnetization curve, associated with the Newton-Raphson algorithm. Particular attention has been focused in both V- and W-cycle convergence factors, as well as the CPU time. Numerical results show the efficiency of the proposed techniques when compared with classical preconditioner, such as Incomplete Cholesky and Incomplete LU decomposition.
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