Accepted Paper

Inserted: 9 jun 2025
Last Updated: 27 mar 2026

Journal: Ann. Inst. H. Poincaré C Anal. Non Linéaire
Year: 2026

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

Tags: ANGEVA

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