A level set formulation for Willmore flow

被引：83

作者：

Droske, M ^{[1
]}

Rumpf, M ^{[1
]}

机构：

[1] Univ Duisburg Gesamthsch, Numer Anal & Sci Comp, D-47057 Duisburg, Germany

来源：

INTERFACES AND FREE BOUNDARIES | 2004年 / 6卷 / 03期

关键词：

D O I：

10.4171/IFB/105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of normal velocities and variations of the level set function in time via the level set equation. This approach in particular allows one to identify the natural dependent quantities of the derived variational formulation. Furthermore, spatial and temporal discretizations are discussed and some numerical simulations are presented.

引用

页码：361 / 378

页数：18

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