[Back]

C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner:
"Recent developments in tangent plane integrators for the Landau-Lifshitz-Gilbert equation";
Talk: ZiF Workshop on Stochastic Spin Systems: models, theory, simulation and real world applications, Bielefeld (invited); 2017-09-28 - 2017-09-30.

Tangent plane integrators are well-established methods for the numerical integration of the Landau-Lifshitz-Gilbert (LLG) equation. In the first part of the talk, we discuss an IMEX-type tangent plane scheme, which is unconditionally convergent, (almost) second-order in time, and based on an implicit-explicit treatment of the effective field contributions, designed in such a way that, e.g., only one expensive stray field computation per time-step needs to be carried out. Then, we consider the extension of the tangent plane approach for the LLG equation in the presence of the Dzyaloshinskii-Moriya interaction, which is the most important ingredient for the enucleation and the stabilization of chiral magnetic skyrmions. We conclude by discussing effective strategies for the iterative solution of the arising constrained linear systems.