A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation
This is an incremental improvement for computational physics simulations involving magnetization dynamics.
The authors tackled the Landau-Lifshitz-Gilbert equation by proposing a fractional step structure-preserving method, achieving first-order accuracy in time and second-order in space with verified stability and norm preservation in 1D and 3D tests.
In this paper, we propose a structure preserving method using a Crank-Nicolson's type method with an implicit Gauss-Seidel fractional iteration. Such a method is of first-order accuracy in time and second-order accuracy in space, stable and length preserving. Such a proposed method brings great benefits for the theoretical analysis. The numerical accuracy, norm preserving and stability are verified for 1D and 3D tests.