Analysis of a level set method for topology optimization

被引：40
|
作者：
Amstutz, Samuel [1 ]
机构：
[1] Fac Sci, Lab Anal Non Lineaire & Geometrie, F-84000 Avignon, France
来源：
OPTIMIZATION METHODS & SOFTWARE | 2011年 / 26卷 / 4-5期
关键词：
topology optimization; level set method; topological sensitivity; topological derivative; SENSITIVITY-ANALYSIS; SHAPE; DERIVATIVES;
D O I：
10.1080/10556788.2010.521557
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A level set method for the topological optimization of domains is proposed and analysed in this paper. The framework of the analysis is that of elliptic optimal control problems with a binary control acting as a source term of the state equation. The main ingredient of the algorithm is the concept of topological derivative. Convergence results are proven and illustrated by some numerical experiments.
引用
收藏
页码：555 / 573
页数：19
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