title: Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.
abstract: 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 nonmagnetic 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.
authors.affiliation: Institute of Solid State Physics, Vienna University of Technology, Austria.
authors.forename: Claas
authors.initials: C
authors.lastname: Abert
authors.affiliation: College of Engineering, Mathematics and Physical Sciences, University of Exeter, United Kingdom.
authors.forename: Gino
authors.initials: G
authors.lastname: Hrkac
authors.affiliation: Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria.
authors.forename: Marcus
authors.initials: M
authors.lastname: Page
authors.affiliation: Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria.
authors.forename: Dirk
authors.initials: D
authors.lastname: Praetorius
authors.affiliation: Institute for Analysis and Scientific Computing, Vienna University of Technology, Austria.
authors.forename: Michele
authors.initials: M
authors.lastname: Ruggeri
authors.affiliation: Institute of Solid State Physics, Vienna University of Technology, Austria.
authors.forename: Dieter
authors.initials: D
authors.lastname: Suess
keywords: Finite element method; Landau–Lifshitz–Gilbert equation; Micromagnetics; Spin accumulation