Landau-Lifshitz方程基于外推法的二阶BDF投影方法

The Second-order BDF Projection Method for the Landau-Lifshitz Equation Based on Extrapolation

研究了求解Landau-Lifshitz方程的二阶BDF投影有限元算法,使得数值解可逐点满足单位长度的非凸约束.借助数学归纳法,得到了精确解和有限元解的最优L^(2)误差估计.

This paper studies the second-order BDF projection finite element method for solving the Landau-Lifshitz equation, which makes the numerical solution satisfy the nonconvex constraint of unit length point by point. By means of mathematical induction, the optimal L^(2) error estimates of the exact solution and the finite element solution are obtained.