Talks and Poster Presentations (without Proceedings-Entry):
M. Ruggeri, D. Praetorius:
"Coupling and numerical integration of the Landau-Lifshitz-Gilbert equation";
Talk: 2nd Maxwell Institute Graduate School on Evolution Equations,
The nonlinear Landau-Lifshitz-Gilbert equation (LLG) models the dynamics of the magnetization field 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. In our talk, 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 schemes decouples the numerical integration of the LLG equation and the coupled equation.
Micromagnetics; Finite element method; Landau-Lifshitz-Gilbert equation
Created from the Publication Database of the Vienna University of Technology.