Talks and Poster Presentations (without Proceedings-Entry):

P. Goldenits, G. Hrkac, M. Page, D. Praetorius, D. Süss:
"Convergent geometric integrator for the LLG equation with magnetostriction";
Poster: Analytical and Numerical Aspects of Evolution Equations, Bielefeld; 03-19-2012 - 03-23-2012.

English abstract:
The theoretical understanding and practical prediction of
micromagnetic phenomena is of utmost importance for the improvement
of existing and development of future magnetic based devices like
e.g. storage devices, sensors, or magnetic RAM. However, certain
aspects do not need the practical development of prototypes, but can
also be well understood by means of numerical simulations. This
relies on the mathematical modelling of micromagnetics. In physics,
it is well-accepted that the dynamics of micromagnetics is described
best by the nonlinear Landau-Lifshitz-Gilbert equation (LLG), where
time evolution is driven by the so-called effective field h_eff.

We propose a numerical time integrator that solves the LLG equation
even considering the five energy contributions exchange, anisotropy,
strayfield, exterior field, and magnetostrictive component for h_eff.
The latter couples LLG to the conservation of momentum equation. We
show that the proposed scheme leads to unconditional convergence as
(h,k) tend to (0,0) independently of each other. In addition, even
though we treat a nonlinearly coupled system of two PDEs, we only
have to solve two linear systems per timestep.

Electronic version of the publication:

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