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

Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same
compactness properties that finite dimensional spaces do: basically, bounded sequences …

Microstructure is a feature of crystals with multiple symmetry-related energy-minimizing
states. Continuum models have been developed explaining microstructure as the mixture of …

Continuum Models for Phase Transitions and Twinning in Crystals presents the
fundamentals of a remarkably successful approach to crystal thermomechanics. Developed …

Oscillatory properties of a weak convergent sequence of functions bounded in L p, 1≤
p≤∞, may be summarized by the parametrized measure it generates. When such a …

The problem of predicting the macroscopic response of a permanent magnet to an applied
magnetic field from the knowledge of a few constitutive parameters is, in many respects, still …

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 the context of micromagnetics the partial differential equation div (−∇ u+ m)= 0in Rd has
to be solved in the entire space for a given magnetization m: Ω→ Rd and Ω⊆ Rd. For an Lp …

We present a convergence analysis of an algorithm for the numerical computation of the
rank-one convex envelope of a function f:M^m*n→R. A rate of convergence for the scheme …

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 …