A topology-preserving level set method for shape optimization

被引：38

作者：

Alexandrov, O ^{[1
]}

Santosa, F ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 204卷 / 01期

基金：

美国国家科学基金会;

关键词：

level set method; optimization; topology preservation; steepest descent method;

D O I：

10.1016/j.jcp.2004.10.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The classical level set method, which represents the boundary of the unknown geometry as the zero-level set of a function, has been shown to be very effective in solving shape optimization problems. The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints. We propose a logarithmic barrier penalty which acts to enforce the constraints, leading to an approximate solution to shape design problems. (c) 2004 Elsevier Inc. All rights reserved.

引用

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页码：121 / 130

页数：10

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