A level-set method for shape optimization

被引：437
|
作者：
Allaire, G [1 ]
Jouve, F
Toader, AM
机构：
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
[2] Univ Lisbon, Fac Ciencias, CMAF, P-1699 Lisbon, Portugal
来源：
COMPTES RENDUS MATHEMATIQUE | 2002年 / 334卷 / 12期
关键词：
D O I：
10.1016/S1631-073X(02)02412-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a level-set method for numerical shape optimization of elastic structures. Our approach combines the level-set algorithm of Osher and Sethian with the classical shape gradient. Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions. Its cost is moderate since the shape is captured on a fixed Eulerian mesh. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：1125 / 1130
页数：6
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