OPTIMAL SHAPE DESIGN SUBJECT TO ELLIPTIC VARIATIONAL INEQUALITIES

被引：34
作者：
Hintermueller, M. [1 ,2 ]
Laurain, A. [2 ]
机构：
[1] Humboldt Univ, Dept Math, Berlin, Germany
[2] Graz Univ, Dept Math & Sci Comp, Graz, Austria
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2011年 / 49卷 / 03期
关键词：
asymptotic analysis; elliptic variational inequality; free boundary problem; level set method; obstacle problem; shape and topology optimization; LEVEL SET METHOD; OPTIMIZATION; SENSITIVITY; TOPOLOGY; SYSTEMS; DOMAIN;
D O I：
10.1137/080745134
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The shape of the free boundary arising from the solution of a variational inequality is controlled by the shape of the domain where the variational inequality is defined. Shape and topological sensitivity analysis is performed for the obstacle problem and for a regularized version of its primal-dual formulation. The shape derivative for the regularized problem can be defined and converges to the solution of a linear problem. These results are applied to an inverse problem and to the electrochemical machining problem.
引用
收藏
页码：1015 / 1047
页数：33
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