应兰州大学数学与统计学院和甘肃省计算数学基础学科研究中心邀请,香港理工大学李步扬教授将于2026年04月14日下午作学术报告，欢迎全校师生参加。

报告题目：A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field

时间：2026年04月14日(星期二) 下午 14:30

地点：理工楼631报告厅

报告摘要：A novel evolving surface finite element method, based on a novel equivalent formulation of the continuous problem, is proposed for computing the evolution of a closed hypersurface moving under a prescribed velocity field in two- and three-dimensional spaces. The method improves the mesh quality of the approximate surface by minimizing the rate of deformation using an artificial tangential motion. The transport evolution equations of the normal vector and the extrinsic Weingarten matrix are derived and coupled with the surface evolution equations to ensure stability and convergence of the numerical approximations. Optimal-order convergence of the semi-discrete evolving surface finite element method is proved for finite elements of degree k ≥ 2. Numerical examples are provided to illustrate the convergence of the proposed method and its effectiveness in improving mesh quality on the approximate evolving surface.

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报告人简介

李步扬, 香港理工大学计算数学讲座教授. 2012年于香港城市大学获博士学位, 先后在南京大学、德国图宾根大学及香港理工大学从事教学与科研工作。 主要致力于偏微分方程的科学计算与数值分析, 研究涵盖几何曲率流、流体自由边界、流固耦合界面及非线性色散与波动方程等领域, 曾获国家自然科学青年科学基金项目(A类)及香港研资局研究学者奖。

甘肃省计算数学基础学科研究中心

数学与统计学院

萃英学院

2026年4月9日