98-33   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Andreas Prohl:

Error analysis for the computation of microstructure in uniaxial ferromagnets

The magnetization state of a (uniaxial) ferromagnetic body like cobalt is described as the solution of a non-convex variational problem, exhibiting microstructure. As it is known from previous works, striking upper bounds for the lowest energy for piecewise constant magnetization fields can be verified in case a triangulation is chosen that is aligned with a (fixed scale) microstructure, but corresponding arguments to verify such a result on arbitrary meshes do not apply. In this paper, we address the verification of striking upper energy bounds that are valid on arbitrary quasi-uniform meshes by considering multiscale finite element magnetizations which show microstructures on arbitrary meshes.

Keywords: finite element method, non-convex minimization, microstructure, multiscale, micromagnetism, easy-axis, uniaxial.

Mail an Jens Burmeister
[Thu Feb 19 18:56:34 2009]
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