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

作　　者：赵果玫 ZHAO Guomei(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）》2022年第3期28-34,共7页Journal of Wenzhou University(Natural Science Edition)

摘　　要：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.

关 键 词：LANDAU-LIFSHITZ方程 投影方法 二阶BDF格式 最优误差估计 

分 类 号：O241.82[理学—计算数学]