Geodesic
An algorithm for Mean Curvature Motion
Antonin Chambolle1 orcid
1Ecole Polytechnique, Palaiseau, France
Interfaces and free boundaries, Volume 6 (2004) no. 2, pp. 195-218

See the original article notice from the EMS Press source

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 [2]. 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.
DOI: 10.4171/ifb/97
Classification: 35-XX, 65-XX, 76-XX, 92-XX
Keywords: Mean Curvature Motion, anisotropy

Antonin Chambolle  1

1 Ecole Polytechnique, Palaiseau, France 
Antonin Chambolle. An algorithm for Mean Curvature Motion. Interfaces and free boundaries, Volume 6 (2004) no. 2, pp. 195-218. doi: 10.4171/ifb/97
@article{10_4171_ifb_97,
     author = {Antonin Chambolle},
     title = {An algorithm for {Mean} {Curvature} {Motion}},
     journal = {Interfaces and free boundaries},
     pages = {195--218},
     year = {2004},
     volume = {6},
     number = {2},
     doi = {10.4171/ifb/97},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/97/}
}
TY  - JOUR
AU  - Antonin Chambolle
TI  - An algorithm for Mean Curvature Motion
JO  - Interfaces and free boundaries
PY  - 2004
SP  - 195
EP  - 218
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/97/
DO  - 10.4171/ifb/97
ID  - 10_4171_ifb_97
ER  - 
%0 Journal Article
%A Antonin Chambolle
%T An algorithm for Mean Curvature Motion
%J Interfaces and free boundaries
%D 2004
%P 195-218
%V 6
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/97/
%R 10.4171/ifb/97
%F 10_4171_ifb_97

Cited by Sources: