Optimal L2 convergence of renormalized Crank-Nicolson mass lumping FEMs for the Landau-Lifshitz equation    

主讲人：王冀鲁（哈尔滨工业大学（深圳））

摘要：This work is concerned with a linearly semi-implicit renormalized Crank-Nicolson mass lumping finite element method (FEM) for solving the Landau-Lifshitz equation, which models the dynamics of magnetization under a non-convex constraint of unit magnetization length. The numerical solutions preserve the unit length at all finite element nodes by means of renormalizations. Based on a new superconvergence result and a new geometric relation between the errors of the auxiliary solution and the renormalized numerical solution, we rigorously establish optimal L2 error estimates of the proposed scheme. Numerical experiments are presented to illustrate the temporal and spatial convergence of the algorithm.

主讲人简介：王冀鲁，哈尔滨工业大学（深圳）教授，国家高层次青年人才，此前为北京计算科学研究中心特聘研究员。王冀鲁的研究兴趣为偏微分方程数值解，包括关于浅水波方程、多孔介质中不可压混溶驱动模型、薛定谔方程以及分数阶方程的数值方法。目前分别主持和参与国家自然科学基金面上项目和重点项目。   

邀请人：李东方

时间：2026年9月22日16:00-18:00

地点： 腾讯会议室：278493444