Elementary discrete diffusion/redistancing schemes for the mean curvature flow
Analysis of PDEs
2026-03-30 v2
Abstract
We consider a fully discrete and explicit scheme for the mean curvature flow of boundaries, based on an elementary diffusion step and a precise redistancing operation. We give an elementary convergence proof for the scheme under the standard CFL condition , where is the time discretization step and the space step. We discuss extensions to more general convolution/redistancing schemes.
Cite
@article{arxiv.2506.05946,
title = {Elementary discrete diffusion/redistancing schemes for the mean curvature flow},
author = {Antonin Chambolle and Daniele De Gennaro and Massimiliano Morini},
journal= {arXiv preprint arXiv:2506.05946},
year = {2026}
}