报告时间：2024年6月7日星期五下午14:00-15:00

报告地点：翡翠科教楼B1710

报告人：赵泉 特任研究员

工作单位：中国科学技术大学

举办单位：数学学院

报告简介：

In this talk, I will discuss parametric approximations for axisymmetric geometric evolution equations. We consider two different possible approximations of the curvature, which leads to either an unconditional stability or an asymptotic equal mesh distribution. An exact volume preservation for the discrete solutions can be further strengthened with an appropriate suitable approximation to a combined term of the radial distance and the interface normal. Moreover, we generalize the parametric approximations to the two-phase flow, where the interface evolution is influenced by the bulk quantity. We propose several front-tracking approximations which combines the parametric finite element method for the interface equations with the standard finite element methods for the bulk equations.

报告人简介：

赵泉，中国科学技术大学特任研究员。2017年博士毕业于新加坡国立大学数学系，2021年获洪堡博士后奖学金，2023年入职中国科学技术大学。赵泉博士的研究兴趣为界面演化问题的数值计算与模拟，如材料学中的相关几何偏微分方程以及流体力学中多相流问题。相关工作发布在SIAM系列期刊，Journal of Computational Physics, IMA Journal of Numerical Analysis以及Computer Methods in Applied Mechanics and Engineering等。