3 papers
math.NA2025
A decoupled, stable, and second-order integrator for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
Martin Kružík, Hywel Normington, Michele Ruggeri
We consider the numerical approximation of a nonlinear system of partial differential equations modeling magnetostriction in the small-strain regime consisting of the Landau--Lifsh…
math.NA2023
Convergent finite element methods for antiferromagnetic and ferrimagnetic materials
Hywel Normington, Michele Ruggeri
We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length ve…
math.NA2023
A decoupled, convergent and fully linear algorithm for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
Hywel Normington, Michele Ruggeri
We consider the coupled system of the Landau--Lifshitz--Gilbert equation and the conservation of linear momentum law to describe magnetic processes in ferromagnetic materials inclu…