题目:  Efficient and Stable Exponential Time Differencing Runge-Kutta Methods

for Phase Field  Elastic Bending Energy Models

报告人： Professor Lili Ju, 南卡罗莱纳大学

时间： 2016年7月8日星期五上午10:00-11:00

地点： 山东大学知新楼B1032

摘要:  The Willmore flow formulated by phase field dynamics based on the elastic bending energy model has been widely used to describe the shape transformation of biological lipid vesicles. In this talk, we present some efficient and stable numerical methods for simulating the unconstrained phase field Willmore dynamics and the phase field Willmore dynamics with fixed volume and surface area constraints. We also incorporate novel linear operator splitting techniques into the numerical schemes to improve the discrete energy stability. Various numerical experiments are performed to demonstrate accuracy and stability of the proposed methods.

山东大学数学学院