Modeling and simulation of spatiotemporal magnetization dynamics in ferromagnetic nanofilms

The dynamics of magnetization in thin ferromagnetic films play a central role in the advancement of nanotechnology, particularly in spintronic applications and high-density magnetic storage. In this work, we explore the dynamic regime of magnetization described by reduced micromagnetic models derived from the Landau–Lifshitz–Gilbert equation. These nonlinear vector-valued partial differential equations incorporate key interactions, including exchange, anisotropy, Zeeman, and magnetostatic contributions. Special attention is given to the impact of the external magnetic field with varying spatial profiles and the anisotropy constant of different materials. We develop and implement robust numerical schemes that preserve the geometric constraints of the magnetization vector field. The simulations are visualized using the ParaView platform to provide insight into the spatiotemporal evolution of magnetization. Our results contribute to a deeper understanding of how external fields influence magnetization dynamics, offering valuable perspectives for designing efficient magnetic devices at the nanoscale.