We present a numerical algorithm to solve the micromagnetic equations based on tangential-plane minimization for the magnetization update and a homothethic-layer decomposition of outer space for the computation of the demagnetization field. As a first application, detailed results on the flower-vortex transition in the cube of Micromagnetic Standard Problem number 3 are obtained, which confirm, with a different method, those already present in the literature, and validate our method and code. We then turn to switching of small cubic or almost-cubic particles, in the single-domain limit. Our data show systematic deviations from the Stoner-Wohlfarth model due to the non-ellipsoidal shape of the particle, and in particular a non-monotone dependence on the particle size.
@article{M2AN_2004__38_2_235_0, author = {Alouges, Fran\c cois and Conti, Sergio and DeSimone, Antonio and Pokern, Yvo}, title = {Energetics and switching of quasi-uniform states in small ferromagnetic particles}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {38}, year = {2004}, pages = {235-248}, doi = {10.1051/m2an:2004011}, mrnumber = {2069145}, zbl = {1085.82015}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2004__38_2_235_0} }
Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo. Energetics and switching of quasi-uniform states in small ferromagnetic particles. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) pp. 235-248. doi : 10.1051/m2an:2004011. http://gdmltest.u-ga.fr/item/M2AN_2004__38_2_235_0/
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