Micromagnetics is a continuum variational theory describing magnetization patterns in
ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical …

In this work, we study numerical issues related to a common mathematical model which
describes ferromagnetic materials, both in a stationary and nonstationary context …

In recent years, technological progress created a great need for complex mathematical
models. Many practical problems can be formulated using optimization theory and they hope …

Abstract We study the Landau–Lifshitz (LL) equation describing the evolution of spin fields in
continuum ferromagnets. We consider the 3D case when the effective field arising in the LL …

This doctoral thesis is concerned with the mathematical modeling of magnetoelastic
materials and the analysis of PDE systems describing these materials and obtained from a …

The variational model by Landau and Lifshitz is frequently used in the simulation of
stationary micromagnetic phenomena. We consider the limit case of large and soft magnetic …

Based on a variational model, the numerical analysis of microstructure challenges
supercomputers because of enforced oscillations on the length scale of every mesh-size …

Modeling of micromagnetic phenomena typically faces the minimization of a non-convex
problem, which gives rise to highly oscillatory magnetization structures. Mathematically, this …

In this paper, we propose a new method for computing the stray-field and the corresponding
energy for a given magnetization configuration. Our approach is based on the use of …

The effective behaviour of stationary micromagnetic phenomena is modelled by a
convexified Landau–Lifshitz minimization problem for the limit of large and soft magnets Ω …