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.

翻译：我们提出了一种新的自适应算法，用于通过高阶切平面方案逼近Landau-Lifshitz-Gilbert方程。我们证明了自适应近似满足能量不等式，并通过数值计算表明，该自适应算法优于均匀网格方法。