Talks and Poster Presentations (without Proceedings-Entry):
G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner:
"Recent developments in tangent plane integrators for the Landau-Lifshitz-Gilbert equation";
Talk: Micromagnetics: Analysis, Numerics, Applications (MANA 2018),
Tangent plane integrators are well-established methods for the numerical integration of the Landau-Lifshitz-Gilbert equation (LLG). 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 discuss effective solution and preconditioning strategies for the arising constrained linear systems. We conclude by considering the extension of the tangent plane approach for LLG in the presence of the Dzyaloshinskii-Moriya interaction, which is the most important ingredient for the enucleation and the stabilization of chiral magnetic skyrmions.
Created from the Publication Database of the Vienna University of Technology.