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FINITE ELEMENT DISCRETIZATION OF A REDUCED MODEL IN THIN-FILM MICROMAGNETICS

We consider the reduced model proposed in [3] which is consistent with the prior works [1] and [4] and is valid for sufficiently large and thin ferromagnetic samples. Let ω ⊆ R denote a bounded Lipschitz domain with diameter l = 1. This domain represents our ferromagnetic sample Ω = ω × [0, t], whose thickness t > 0 is neglected for simplicity. Here, we consider a uniaxial material with in-plane easy axis e1. With an applied exterior field f : ω → R , we seek a minimizer m∗ of the reduced energy e(m) = 1 2 ∫