Numerical simulations of ferromagnetic materials use as basic ingredient the minimization of the total energy functional of the system and lead to highly nonlinear problems whose numerical solutions are much time consuming. Our previous studies are mainly concerned with the numerial characterization of the walls in a two-dimensional approach: thickness of the walls, their evolution under an incremental external magnetic field, the effect of nonmagnetic inclusions. In this paper we report two important extensions: ⅰ) the study of the assemblage of two dimensional rectangular or hexagonal polycristals with different oriented lines of easy magnetization; ⅱ) the computation and the representation of the three dimensional domains and Bloch walls for ferromagnetic materials which are highly nontrivial due to their computational complexity.
展开▼
