TY - JOUR
ID - 4831
TI - A finite element approximation of a current-induced magnetization dynamics model
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Mohammed, Moumni
AU - Mouhcine, Tilioua
AD - MAIS Laboratory, MAMCS Group, FST Errachidia, Moulay Ismail University of Meknes, P.O. Box: 509 Boutalamine, 52000 Errachidia, Morocco
Y1 - 2022
PY - 2022
VL - 10
IS - 1
SP - 53
EP - 69
KW - Ferromagnetism
KW - magnetization dynamics
KW - spin polarized current
KW - finite elements
DO - 10.22124/jmm.2021.19486.1673
N2 - 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.
UR - https://jmm.guilan.ac.ir/article_4831.html
L1 - https://jmm.guilan.ac.ir/article_4831_2c3582561089ab2f63cce2b565741b3c.pdf
ER -