Numerical surgery for mean curvature flow of surfaces
Numerical Analysis
2023-09-22 v3 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2210.14046,
title = {Numerical surgery for mean curvature flow of surfaces},
author = {Balázs Kovács},
journal= {arXiv preprint arXiv:2210.14046},
year = {2023}
}