Abstract <p>The subject of discussion in this paper is a ferromagnetic shape memory material (Heusler alloy). The behavior of such material in a magnetic field is described within the framework of the theory of micromagnetism, one of the equations of which is the Landau–Lifshitz–Gilbert equation. This equation describes the history of evolution of the magnetization vector in a ferromagnetic material under the influence of an external magnetic field. Its numerical solution is time-consuming to establish the final position of this vector. However, it is necessary if the whole story of the magnetization vector change is required for some purpose. In our case, when solving the magnetomechanical problem of the behavior of a ferromagnetic alloy with shape memory, we do not need the whole story, but only its final (resultant) direction. This article is devoted to determining this final direction of the magnetization vector without solving the Landau–Lifshitz–Gilbert equation but on its base. The accuracy of the proposed approach and its significant advantages in terms of the time required for the numerical implementation of this approach, compared with the direct use of the Landau–Lifshitz–Gilbert equation, are demonstrated.</p>