Velocity extension for the level-set method and multiple eigenvalues in shape optimization

被引：104
|
作者：
De Gournay, F [1 ]
机构：
[1] Ecole Polytech, Ctr Appl Math, UMR 7641, F-91128 Palaiseau, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2006年 / 45卷 / 01期
关键词：
multiple eigenvalues; shape optimization; sensitivity analysis; shape derivative; level-set method; regularization;
D O I：
10.1137/050624108
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the context of structural optimization by the level-set method, we propose an extension of the velocity of the underlying Hamilton - Jacobi equation. The gradient method is endowed with a Hilbertian structure based on the H-1 Sobolev space. Numerical results for compliance minimization and mechanism design show a strong improvement of the rate of convergence of the level-set method. Another important application is the optimization of multiple eigenvalues.
引用
收藏
页码：343 / 367
页数：25
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