We propose and analyze a decoupled time-marching scheme for the coupling of the Landau-Lifshitz-Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electron spin accumulation in magnetic and non-magnetic multilayer structures. Despite the strong nonlinearity of the overall PDE system, the proposed integrator requires only the solution of two linear systems per time-step. Unconditional convergence of the integrator towards weak solutions is proved.
@article{arxiv.1402.0983,
title = {Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator},
author = {Claas Abert and Gino Hrkac and Marcus Page and Dirk Praetorius and Michele Ruggeri and Dieter Suess},
journal= {arXiv preprint arXiv:1402.0983},
year = {2014}
}