Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation

03/13/2023

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by   Jan Bohn, et al.

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We propose a new adaptive algorithm for the approximation of the Landau-Lifshitz-Gilbert equation via a higher-order tangent plane scheme. We show that the adaptive approximation satisfies an energy inequality and demonstrate numerically, that the adaptive algorithm outperforms uniform approaches.