An unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to
predict and understand the complex response in strain-mediated multiferroic radio …

Abstract The Landau-Lifshitz (LL) equation of micromagnetism governs rich variety of the
evolution of magnetization patterns in ferromagnetic media. This is due to the complexity of …

We present a fully discrete linearized backward Euler finite element method for the Landau--
Lifshitz equation in which a new linearization is proposed for the gyromagnetic term. Optimal …

We propose and analyze a decoupled time-marching scheme for the coupling of the Landau–
Lifshitz–Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This …

We discuss the equations describing the motion of ferrofluids subject to an external
magnetic field. We concentrate on the model proposed by Rosensweig, provide an …

Various applications ranging from spintronic devices, giant magnetoresistance sensors, and
magnetic storage devices, include magnetic parts on very different length scales. Since the …

The stochastic Landau--Lifshitz--Gilbert equation describes the thermally induced dynamics
of magnetic moments in ferromagnetic materials. Solutions of this highly nonlinear stochastic …

We analyze a numerical method for the coupled system of the eddy current equations in
\mathbbR^3 with the Landau--Lifshitz--Gilbert equation in a bounded domain. The …

In this paper we consider a three-dimensional model of ferromagnetic material. We deal with
the static domain wall configuration calculated by Walker. We prove the stability of this …

In this work, we present a mathematical study of stability and controllability of one-
dimensional network of ferromagnetic particles. The control is the magnetic field generated …