Solution of Nonlinear Magnetic Field Problems by Krylov-Subspace Methods With ${mbi \eta}$ -Cycle Wavelet-Based Algebraic Multigrid Preconditioning

The performance of eta-cycle wavelet-based algebraic multigrid preconditioner of iterative methods is investigated. It is applied to the solution of non-linear system of algebraic equations 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 preconditioners, such as Incomplete Cholesky and Incomplete LU decomposition.