- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:02
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
6
2004
2
An algorithm for Mean Curvature Motion
Antonin
Chambolle
Ecole Polytechnique, CNRS, PALAISEAU, FRANCE
Mean Curvature Motion, anisotropy
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.
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
195
218
10.4171/IFB/97
http://www.ems-ph.org/doi/10.4171/IFB/97