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M. Ruggeri:
"Finite element methods for the simulation of chiral magnetic skyrmion dynamics";
Talk: Mathematics of thin structures, Dresden; 2018-09-26 - 2018-09-28.

We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation, which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the classical micromagnetic contributions, the energy comprises the Dzyaloshinskii-Moriya interaction, which is the most important ingredient for the enucleation and the stabilization of chiral magnetic skyrmions. We discuss a family of schemes, for which we prove (unconditional) convergence of the finite element solutions towards a weak solution of the problem. Numerical experiments demonstrate the applicability of the methods for the simulation of practically relevant problem sizes.