Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator
Computers & Mathematics with Applications
Open Access funded by Austrian Science Fund (FWF) under a Creative Commons license
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.
23 pages, 1 figure
Volume 68, Issue 6, September 2014, Pages 639–654