A general integrator for the Landau-Lifshitz-Gilbert equation
نویسندگان
چکیده
In our contribution, we extend a P1 finite element scheme for the discretization of the Landau-LifshitzGilbert equation (LLG), which has originally been proposed by Alouges [1] for a simpler model problem. Unlike prior works [2], [5], we allow arbitrary contributions to the effective field and elaborate the circumstances under which weak subconvergence towards a weak solution can mathematically be guaranteed. Our analysis particularly includes nonlinear, non-local, and/or time-dependent operators. In addition, we investigate coupling of LLG to the full Maxwell’s equations and to the conservation of momentum equation in order to include magnetostrictive effects.
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