A priori error analysis of a mass-lumped midpoint finite element method with a structure-preserving solver for the Landau--Lifshitz--Gilbert equation with Dzyal... (opens in new tab)

The Landau--Lifshitz--Gilbert (LLG) equation is a fundamental model in micromagnetics for the magnetisation dynamics of ferromagnets at temperatures well below the Curie temperature. In chiral magnetic materials, the bulk Dzyaloshinskii--Moriya interaction (DMI) contributes a first-order term to the effective field, induces a natural chiral boundary condition, and plays an important role in the dynamics of skyrmions. In this paper, we analyse a ...