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An algorithm for Mean Curvature Motion

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Date
2004
Dewey
Probabilités et mathématiques appliquées
Sujet
Mean Curvature Motion; anisotropy
Journal issue
Interfaces and free boundaries
Volume
6
Number
2
Publication date
2004
Article pages
195-218
Publisher
European Mathematical Society
DOI
http://dx.doi.org/10.4171/IFB/97
URI
https://basepub.dauphine.fr/handle/123456789/6687
Collections
  • CEREMADE : Publications
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Author
Chambolle, Antonin
Type
Article accepté pour publication ou publié
Abstract (EN)
We propose in this paper a new algorithm for computing the evolution by mean curvature of a hypersurface. Our algorithm is a variant of the variational approach of Almgren, Taylor and Wang~\cite{ATW}. We show that it approximates, as the time--step goes to zero, the generalized motion(in the sense of barriers or viscosity solutions). The results still hold for the Anisotropic Mean Curvature Motion, as long as the anisotropy is smooth.

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