A Wavelet-based Algebraic Multigrid Preconditioning for Iterative Solvers in 3D timeharmonic Electromagnetic Edge-based Finite Element Analysis

The algebraic multigrid (AMG) method is an efficient preconditioner for iterative solvers for linear systems of equations arising from various finite element analyses. However, classical AMG method cannot directly be applied to ungauged edge-based electromagnetic FE analysis, since the coefficient matrix violates the M-matrix property. A new approach for AMG, based in Wavelets and called WAMG, is presented, which eliminates this problem. The numerical results show that the proposed AMG is more efficient than shifted incomplete Cholesky when used as preconditioner for the biconjugate gradient stabilized (BiCGstab)