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.