Method of the distance function to the Bence-merriman-osher algorithm for motion by mean curvature

Y. Goto, K. Ishii, Takayoshi Ogawa

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A new proof of the convergence of the Bence-Merriman-Osher algorithm for the motion of mean curvature is given. The idea is making use of the approximate distance function to the interface and analogous argument in the singular limiting problem for the Allen-Cahn equation via an auxiliary function given by the primitive function of the heat kernel.

Original languageEnglish
Pages (from-to)311-339
Number of pages29
JournalCommunications on Pure and Applied Analysis
Volume4
Issue number2
DOIs
Publication statusPublished - 2005 Jun 1

Keywords

  • Bence-Merrina-Osher algorithm
  • Motion by mean curvature
  • Signed distance function
  • Viscosity solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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