Elementary discrete diffusion/redistancing schemes for the mean curvature flow
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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Annales de l Institut Henri Poincaré C Analyse Non Linéaire
- Publication date
- 13 April 2026
- Language
- EN