Talks and Poster Presentations (without Proceedings-Entry):
C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner:
"Convergent finite element methods for the Landau-Lifshitz-Gilbert equation";
Talk: Geometry, Analysis, and Approximation of Variational Problems,
We consider the numerical approximation of the Landau-Lifshitz-Gilbert (LLG) equation, which describes the dynamics of the magnetization in ferromagnetic materials. The numerical integration of the LLG equation poses several challenges: strong nonlinearities, a nonconvex pointwise constraint, an intrinsic energy law, and the presence of nonlocal field contributions, which prescribe the coupling with other partial differential equations. We discuss a family of numerical integrators, based on lowest-order finite elements in space, that are proven to be (unconditionally) convergent towards a weak solution of the problem.
Created from the Publication Database of the Vienna University of Technology.