A numerical algorithm for mean curvature flow of surfaces with surgery is proposed. The method uses a convergent 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.

翻译：提出了外科手术表面平均曲线流的数值算法。该方法使用基于组合部分偏差等分法系统、直接为平均曲线和外向单元正常提供近似值的组合部分曲线流算法。拟议的数字外科手术过程密切遵循Huisken & Sinestrari和Brendle & Huisken的分析外科手术。数字外科手术方法详细描述,并扩展到其他几何流和方法。数字外科手术过程的绩效的数值实验报告。