CONVERGENCE OF A CRYSTALLINE ALGORITHM FOR THE MOTION OF A SIMPLE CLOSED CONVEX CURVE BY WEIGHTED CURVATURE

被引：40

作者：

GIRAO, PM ^{[1
]}

机构：

[1] NYU,COURANT INST,NEW YORK,NY 10012

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1995年 / 32卷 / 03期

关键词：

CRYSTALLINE; MOTION BY CURVATURE; SURFACE ENERGY;

D O I：

10.1137/0732041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motion by weighted mean curvature is a geometric evolution law for surfaces and represents steepest descent with respect to anisotropic surface energy. It has been proposed that this motion could be computed numerically by using a ''crystalline'' approximation to the surface energy in the evolution law. In this paper we prove the convergence of this numerical method for the case of simple closed convex curves in the plane.

引用

页码：886 / 899

页数：14