讲座题目：FCH 梯度流方程的能量稳定格式

主办单位：三峡数学研究中心/理学院

报告专家：张晨辉 博士（太原理工大学）

报告时间：2021年12月11日（周六） 上午（9:00—12: 00）

报告地点：腾讯会议（ID： 730 238 7023；密码：123321）

专家简介：张晨辉，太原理工大学数学学院讲师，于2021年在西北工业大学数学与统计学院获博士学位。主要从事偏微分方程数值解法、计算流体力学、计算相场方程等方面的理论与算法研究。近年来以第一作者身份在 J. Comput. Phys.、J. Sci. Comput.、J. Comput. Appl. Math. 等期刊发表了多篇论文。

报告摘要： In this work, we study several energy stable schemes for solving the FCH (Functionalized Cahn-Hilliard) gradient flow equation which can accurately describe the morphology of the network interface of amphiphilic polymers. It is a challenging task to solve this equation numerically since it is a highly nonlinear partial differential equation with high-order spatial derivatives. In general, it will take a long time to obtain the steady-state solution of the equation, which requires us to design an efficient numerical scheme with enough stability in the computation. By using the recently popular stabilization method, SAV (Scalar Auxiliary Variable) method, IEQ (Invariant Energy Quadratization) method, we constructed several energy stable schemes to solve this complicated equation. The unconditional energy stability is proved and presented. Finally, some numerical results are also presented, which confirm the stability and accuracy of the proposed numerical schemes.