Numerical approximation for the mean curvature flow with nucleation using implicit time-stepping: An adaptive algorithm

被引：4

作者：

Fierro F. ^{[1
]}

机构：

[1] Dipartimento di Matematica, Università di Milano, Via Saldini 50

来源：

CALCOLO | 1998年 / 35卷 / 4期

关键词：

Time Discretization; Numerical Approximation; Curvature Flow; Adaptive Algorithm; Discretization Scheme;

D O I：

10.1007/s100920050017

中图分类号：

学科分类号：

摘要：

In this paper we introduce a self-adaptive finite element algorithm for the mean curvature flow, which is based on the implicit time discretization scheme proposed by Almgren, Taylor and Wang [1] and by Luckhaus and Sturzenhecker [13]. Several numerical simulations of isotropic and anisotropic evolutions show the potential of this approach. We also present a generalization proposed by Visintin [17] for describing nucleation and annihilation. © Springer-Verlag 1998.

引用

页码：205 / 224

页数：19

共 17 条

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[9]

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[10]

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