发布时间：2025-09-09
Optimal $L^2$ error estimates of unconditionally stable FE schemes for the Navier-Stokes equations
主讲人：王冀鲁
摘要：The paper is concerned with the analysis of a finite element method for the Navier-Stokes equations, which has been widely used in practice.We present an optimal error estimate in $L^2$-norm for the FEMs. We also show that optimal error estimates in the traditional (interpolation) sense may not always hold for all components in the coupled system due to the nature of the pollution/influence from lower-order approximations. Numerical examples are also presented to illustrate our theoretical results. More important is that our approach can be extended to many other FEMs and other strongly coupled phase field models to obtain optimal error estimates.
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： 2025年9月11日20:00-22:00
地点： 腾讯会议室： 175210324