史作强 教授（清华大学）

马俊杰 副研究员

When surface evolution meets Fokker-Planck equation: A novel tangential velocity model for uniform parametrization

5月15日（周五）10:00-11:30，思源楼713

A common issue in simulating geometric evolution of surfaces is unexpected clustering of points that may cause numerical instability. In this talk, we propose a novel artificial tangential velocity method. The artificial tangential velocity is generated from a surface density field governed by a Fokker-Planck equation to guide the point distribution. A target distribution matching algorithm is developed leveraging the surface Kullback-Leibler divergence of density functions. The numerical method is formulated within a fully meshless framework using the moving least squares approximation, thereby eliminating the need for mesh generation and allowing flexible treatment of unstructured point cloud data. Extensive numerical experiments are conducted to demonstrate the robustness, accuracy, and effectiveness of the proposed approach across a variety of surface evolution problems.

报告人简介：史作强，清华大学丘成桐数学科学中心长聘教授，北京雁栖湖应用数学研究院双聘研究员，主要研究方向为偏微分方程数值方法，微分方程与机器学习，非线性非平稳信号时频分析等，在ACHA，SIAM系列期刊，Advances in Mathematics，ARMA等国际知名学术期刊发表文章90余篇。