Error analysis of a numerical scheme for 3D Maxwell–Landau–Lifshitz system

We suggest a linear numerical scheme solving strongly non-linear coupled Maxwell–Landau–Lifshitz (Maxwell–LL) system describing ferromagnetic phenomena. Using recent results on the regularity of the solutions to the Maxwell–LL system we are able to prove convergence and to derive the error estimates for this numerical scheme. We provide numerical examples which confirm the theoretical results. Copyright © 2007 John Wiley & Sons, Ltd.