A parallel algebraic multigrid solver for fast magnetic edge-element analyses

This paper presents a parallel algebraic multigrid (AMG) solver for linear systems of equations arising in magnetic finite edge-element analyses. To parallelize the smoothing process, which consumes most of the computational costs of the AMG algorithm, we apply multicolor (MC) ordering to the symmetric Gauss-Seidel (SGS) method. Advantages of MC ordering are: 1) that the number of processors employed does not affect the convergence of the approximate solution and 2) that only the information of the coefficient matrix is utilized to parallelize the smoother. The numerical results show that the developed solver achieves sufficient scalability in magnetic finite edge-element analyses.