Numerical simulation of domain structure in magnetic thin sheet

This paper describes a numerical analysis method of domain structure in a magnetic thin sheet. A stable domain structure of the thin sheet in an external magnetic field is analyzed by the iterative method that minimizes its total domain energy. In this analysis, we assumed that the total domain energy is sum of the magnetostatic energy, the anisotropy energy, the domain wall energy, and the elastic energy. In particular, we applied the Biot-Savart formula and the Gauss quadrature formula on a surface integral to the calculation of the magnetostatic energy. The advantage of this method is that the calculation points in each domain are considerably reduced in comparison with the conventional method. The method is expanded to analyze the problems in any external field. Moreover, the initial domain structure is determined by the minimization of the total energy