y Shell International Exploration and Production

Abstract. We evaluated multigrid techniques for 3D diffusive electromagnetism. The Maxwell equations and Ohm’s law were discretised on stretched grids, with stretching in all coordinate directions. We compared standard multigrid to alternative multigrid approaches with line-wise smoothing and semi-coarsening, both as a stand-alone solver and as a preconditioner. Although the number of iterations was small for some variants, none of the schemes showed grid-independent convergence rates on stretched grids.