JournalsifbVol. 6, No. 2pp. 195–218

An algorithm for Mean Curvature Motion

  • Antonin Chambolle

    Ecole Polytechnique, Palaiseau, France
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Abstract

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.

Cite this article

Antonin Chambolle, An algorithm for Mean Curvature Motion. Interfaces Free Bound. 6 (2004), no. 2, pp. 195–218

DOI 10.4171/IFB/97