“…Micromagnetic simulations are a unique and potent tool for investigating the equilibrium magnetisation state of magnetic materials, their dynamics, and their response to external perturbations, such as magnetic fields or spin-polarized currents, in arbitrary geometries and over a broad range of time and length scales. 42 The micromagnetic simulation package is primarily based on the numerical solution of the Landau-Lifshitz-Gilbert (LLG) dynamical equations, which are calculated by approximating continuous theory to discrete problems, using finite difference methods (FDM) (e.g., OOMMF, 43,44 MuMax3 45,46 and Spirit 47 ) or finite element methods (FEM) (e.g., COMSOL Multiphysics with LLG extensions, 48 magnum.fe, 49 Nmag, 12,50 TetraMag, 51 magpar 52 and FastMag 53 ). When solving for surface geometries, the FDM method introduces errors and artifacts, despite its regular mesh and reduced computation times and lower storage requirements.…”