Talks and Poster Presentations (without Proceedings-Entry):
G. Di Fratta, M. Innerberger, D. Praetorius, C.-M. Pfeiler, M. Ruggeri:
"Chiral magnetic skyrmions and computational micromagnetism";
Keynote Lecture: 19th GAMM Seminar on Microstructures,
We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation (LLG), which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the classical micromagnetic contributions, the energy comprises the Dzyaloshinskii-Moriya interaction (DMI), which is the most important ingredient for the enucleation and the stabilization of chiral magnetic skyrmions. Besides convergent tangent plane integrators, the talk also discusses weak-strong uniqueness of solutions as well as a reduced thin-film model, which is particularly interesting for computations.
The talk is based on joint work, in particular, with Giovanni Di Fratta, Michael Innerberger, Carl-Martin Pfeiler, and Michele Ruggeri.
Hrkac, Pfeiler, Praetorius, Ruggeri, Segatti, Stiftner:
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics,
Advances in Computational Mathematics 45 (2019), 1329-1368.
Di Fratta, Innerberger, Praetorius:
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics,
preprint arXiv:1910.04630, submitted for publication.
Davoli, Di Fratta, Praetorius, Ruggeri:
Micromagnetics of thin films in the presence of the Dzyaloshinskii-Moriya interaction,
in preparation 2020.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.