With the proliferation of electronics and wireless devices, managing disruptive
electromagnetic interference (EMI) has become imperative. This review examines recent …

Permalloy is a nickel-iron magnetic alloy, which typically has a face-centered cubic phase
but may form an irregular polycrystalline structure. Its magnetization dynamics is modeled by …

In this paper, we present a finite difference Heterogeneous Multiscale Method for the
Landau–Lifshitz equation with a highly oscillatory diffusion coefficient. The approach …

In this paper, we consider homogenization of the Landau-Lifshitz equation with a highly
oscillatory material coefficient with period $\varepsilon $ modeling a ferromagnetic …

In this paper, we consider several possible ways to set up Heterogeneous Multiscale
Methods for the Landau--Lifshitz equation with a highly oscillatory diffusion coefficient, which …

Motivated by manifold-constrained homogenization problems, we construct a scale-
independent extension operator for Sobolev functions defined on a perforated domain and …

This paper discusses the theory and numerical method of two-scale analysis for the
multiscale Landau-Lifshitz-Gilbert equation in composite ferromagnetic materials. The …

The full Landau-Lifshitz-Gilbert equation with periodic material coefficients and natural
boundary condition is employed to model the magnetization dynamics in composite …

We study the homogenization of Landau–Lifshitz–Gilbert equation in a ϵ-periodic composite
material formed by two constituents, separated by an imperfect interface Γ ϵ, on which we …

Abstract We present a Heterogeneous Multiscale Method for the Landau-Lifshitz equation
with a highly oscillatory diffusion coefficient, a simple model for a ferromagnetic composite. A …