An approximation scheme for the anisotropic and nonlocal mean curvature flow

被引：3
|
作者：
Ishii, Katsuyuki [1 ]
机构：
[1] Kobe Univ, Grad Sch Maritime Sci, Higashinada Ku, Kobe, Hyogo 6580022, Japan
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2014年 / 21卷 / 02期
基金：
日本学术振兴会;
关键词：
Anisotropic mean curvature flow; Nonlocal mean curvature flow; Approximation scheme; Viscosity solutions; IMPLICIT TIME DISCRETIZATION; VISCOSITY SOLUTIONS; GENERALIZED MOTION; FRONT PROPAGATION; UNIQUENESS; ALGORITHM; EQUATIONS; SET;
D O I：
10.1007/s00030-013-0244-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 2004 Chambolle proposed an algorithm for mean curvature flow based on a variational problem. Since then, the convergence, extensions and applications of his algorithm have been studied by many people. In this paper we give a proof of the convergence of an anisotropic version of Chambolle's algorithm by use of the signed distance function. An application of our scheme to an approximation of the nonlocal curvature flow such as crystalline one is also discussed.
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页码：219 / 252
页数：34
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