preprint

Inserted: 9 jun 2025
Last Updated: 9 jun 2025

Year: 2025

Abstract:

We consider here 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 $h\sim\varepsilon^2$, where $h$ is the time discretization step and $\varepsilon$ the space step. We discuss extensions to more general convolution-redistancing schemes.