Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator
Abert, Claas; Hrkac, Gino; Page, Marcus; et al.Praetorius, Dirk; Ruggeri, Michele; Suess, Dieter
Date: 1 September 2014
Article
Journal
Computers & Mathematics with Applications
Publisher
Elsevier
Publisher DOI
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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 non-magnetic multilayer structures. Despite the strong ...
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.
Physics and Astronomy
Faculty of Environment, Science and Economy
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