Landau-Lifshitz-Slonczewski方程的一阶向后Euler有限元方法的最优误差估计  

Optimal Error Estimates of a First-Order Backward Euler Finite Element Method for the Landau-Lifshitz-Slonczewski Equation

作　　者：赵云丹 ZHAO Yundan(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2024年第3期1-12,共12页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了求解Landau-Lifshitz-Slonczewski方程的一阶向后Euler有限元全离散算法,使得数值解可近似满足单位长度的非凸约束,并得到了精确解和数值解关于磁化强度在L2-范数下的最优误差估计.This paper studies the first-order backward Euler finite element fully discrete algorithm for solving the Landau-Lifshitz-Slonczewski equation,which makes the numerical solution approximately satisfy the non-convex constraint of unit length.Meanwhile,the optimal error estimates of magnetization under L2-norm are obtained for both exact and numerical solutions,respectively.

关 键 词：Landau-Lifshitz-Slonczewski方程 一阶向后Euler格式 有限元 最优误差估计 

分 类 号：O241.82[理学—计算数学]