A numerical study of a nonlinear system arising in modeling of ferromagnets

摘要

A discrete method for the numerical study of the evolution equations for soft undeformed magnetoelastic solids subjected to magnetic actions is presented. A result concerning the numerical stability of the proposed semi-implicit finite difference scheme is established. Numerical experiments on a specific test problem are carried out also to investigate on the phenomenon of the development of singularities in ferromagnets. [References: 6]