2D and 3D calculations of micromagnetic wall structures using finite elements

To compute wall structures in a uniaxial magnetic garnet, static micromagnetic equations are solved using the finite-element method. After setting up the physical and the mathematical context, the discretized equations are presented and discretized by standard first-order brick finite elements. A descent method, solving the nonlinear problem, is discussed, and some simulation results are given. This method is found to be time-consuming in 3-D, and a general framework for an adapted mesh algorithm that will speed up the computations is proposed.