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- Title
A finite element approximation of a current-induced magnetization dynamics model.
- Authors
Moumni, Mohammed; Tilioua, Mouhcine
- Abstract
Micromagnetics is a continuum theory describing magnetization patterns inside ferromagnetic media. The dynamics of a ferromagnetic material are governed by the Landau-Lifshitz equation. This equation is highly nonlinear and has a non-convex constraint. In this work, a finite element approximation of a current-induced magnetization dynamics model is proposed. The model consists of a modified Landau-Lifshitz-Gilbert (LLG) equation incorporating spin transfer torque. The scheme preserves a non-convex constraint, requires only a linear solver at each time step and is easily applicable to the limiting cases. As the time and space steps tend to zero, a proof of convergence of the numerical solution to a (weak) solution of the modified LLG equation is given. Numerical results are presented to show the effect of the injected current on magnetization switching.
- Subjects
FERROMAGNETISM; SPIN transfer torque; FINITE element method; LANDAU-lifshitz equation; MAGNETIZATION
- Publication
Journal of Mathematical Modeling (JMM), 2022, Vol 10, Issue 1, p53
- ISSN
2345-394X
- Publication type
Article
- DOI
10.22124/jmm.2021.19486.1673