In this paper, we provide simple proofs of consistency for two well-known algorithms for mean curvature motion, Almgren-Taylor-Wang's(1) variational approach, and Merriman-Bence-Osher's algorithm. Our techniques, based on the same notion of strict sub- and superflows, also work in the (smooth) anisotropic case.
Approximation of the anisotropic mean curvature flow
NOVAGA, MATTEO
2007
Abstract
In this paper, we provide simple proofs of consistency for two well-known algorithms for mean curvature motion, Almgren-Taylor-Wang's(1) variational approach, and Merriman-Bence-Osher's algorithm. Our techniques, based on the same notion of strict sub- and superflows, also work in the (smooth) anisotropic case.
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