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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/116474
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 20
social impact