Talks and Poster Presentations (without Proceedings-Entry):

D. Praetorius, M. Ruggeri:
"Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation";
Poster: Topological Patterns and Dynamics in Magnetic Elements and in Condensed Matter (TOPMAG16), Max Planck Institute for the Physics of Complex Systems, Dresden, Germany; 2016-06-27 - 2016-07-08.

English abstract:
The nonlinear Landau-Lifshitz-Gilbert (LLG) equation models the dynamics of the magnetization in ferromagnetic materials. Numerical challenges arise from strong nonlinearities, a nonconvex pointwise constraint which enforces length preservation, and the possible nonlinear coupling to other PDEs. We discuss numerical integrators, based on lowest-order FEM in space that are proven to be (unconditionally) convergent towards a weak solution of the problem. Emphasis is put on an effective numerical treatment, where the time-marching scheme decouples the numerical integration of the coupled equation. As an example, we consider the nonlinear coupling of the LLG equation and a diffusion equation which models the evolution of the spin accumulation in magnetic multilayers in the presence of electric current.

Created from the Publication Database of the Vienna University of Technology.