杨霄锋
杨霄锋教授1998年以及2001年于中国科学技术大学数学系获数学学士以及硕士学位。2007年在美国普度大学获得应用数学博士学位。2007-2009年在美国北卡罗来纳大学教堂山分校从事博士后研究。随后进入美国南卡莱罗纳大学工作,历任数学系助理教授(2009年8月-20013年8月),副教授(2013年8月-2017年12月),及教授(2018年1月-现在)。
Efficient schemes with unconditionally energy stabilities for a new modified phase field surfactant model
We consider numerical approximations for a new surfactant phase field model. We first reformulate the commonly used kumora’s surfactant model such that the total energy is bounded from below. Furthermore, we combine the recently developed SAV approach with the stabilization technique, where a linear stabilization term is added, which is shown to be crucial to enhance the stability and keep the required accuracy while using large time steps. We further prove the unconditional energy stability of the scheme rigorously, and present various 2D and 3D numerical simulations to demonstrate the stability and accuracy, numerically.
2019年5月24日,10:00-10:45
数学科学学院604室