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S. Ferraz-Leite, J. Melenk, D. Praetorius:
"Finite element discretization of a reduced model in thin-film micromagnetics";
Vortrag: 6th Austrian Numerical Analysis Day, Salzburg; 06.05.2010 - 07.05.2010.

We consider the reduced model proposed in [DeSimone, Kohn, Müller, Otto, Schäfer, 2001] which is valid for sufficiently large and thin ferromagnetic samples.

Here, we consider a uniaxial material with in-plane easy axis e1. With an applied exterior field f, we seek a minimizer m of the reduced energy under the convex side constraint |m| <= 1.

We analyze the model problem and give a precise and appropriate functional analytic framework. Existence and uniqueness
of a minimizer m in our functional setting is proven. Based on some regularity results from [DeSimone, Kohn, Müller, Otto, 2002], we propose a numerical discretization strategy by use of lowest-order Raviart-Thomas finite elements. Numerical examples conclude the talk.

thin-film micromagnetics, finite elements, variational inequality, convex minimization problem

http://publik.tuwien.ac.at/files/PubDat_186200.pdf