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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.05946 |
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| _version_ | 1866917363811614720 |
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| author | Chambolle, Antonin De Gennaro, Daniele Morini, Massimiliano |
| author_facet | Chambolle, Antonin De Gennaro, Daniele Morini, Massimiliano |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05946 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elementary discrete diffusion/redistancing schemes for the mean curvature flow Chambolle, Antonin De Gennaro, Daniele Morini, Massimiliano Analysis of PDEs 65M12, 3E10, 35D30, 65K10, 65M06 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. |
| title | Elementary discrete diffusion/redistancing schemes for the mean curvature flow |
| topic | Analysis of PDEs 65M12, 3E10, 35D30, 65K10, 65M06 |
| url | https://arxiv.org/abs/2506.05946 |