论文标题
表面平均曲率流动的数值手术
Numerical surgery for mean curvature flow of surfaces
论文作者
论文摘要
提出了使用手术的闭合平均凸表面平均曲率流的数值算法。该方法使用基于耦合的偏微分方程系统的基于有限元的平均曲率流量算法，该方程直接为平均曲率和向外单位正常提供了近似值。拟议的数值手术过程紧密遵循Huisken \＆Sinestrari和Brendle \＆Huisken的分析手术。详细描述了数值手术方法，并扩展到其他几何流量和方法。数值实验报告了数值手术过程的性能。
A numerical algorithm for mean curvature flow of closed mean convex surfaces with surgery is proposed. The method uses a finite element based mean curvature flow algorithm based on a coupled partial differential equation system which directly provides an approximation for mean curvature and outward unit normal. The proposed numerical surgery process closely follows the analytical surgery of Huisken \& Sinestrari, and Brendle \& Huisken. The numerical surgery approach is described in detail, along with extensions to other geometric flows and methods. Numerical experiments report on the performance of the numerical surgery process.
