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arXiv · 2506.05946

Elementary discrete diffusion/redistancing schemes for the mean curvature flow

Antonin Chambolle·Daniele De Gennaro·Massimiliano Morini
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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 $h\sim\e^2$, where $h$ is the time discretization step and $\e$ the space step. We discuss extensions to more general convolution/redistancing schemes.

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Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini. 2025-06-06. Elementary discrete diffusion/redistancing schemes for the mean curvature flow. https://arxiv.org/abs/2506.05946

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