INVERSE FUNCTION THEOREMS AND SHAPE OPTIMIZATION

被引：6

作者：

DOYEN, L

机构：

[1] Universite Paris-Dauphine, Paris

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 06期

关键词：

SHAPE OPTIMIZATION; SHAPE GRADIENT; TANGENT CONES; VELOCITY CONES; INVERSE FUNCTION THEOREM; FERMAT RULE; LAGRANGIAN MULTIPLIERS; KUHN-TUCKER MULTIPLIERS;

D O I：

10.1137/S036301299222634X

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 this paper the problem of shape optimization under shape constraints is investigated. Using the shape gradient and shape tangent cones, inverse function theorems are established. With these theorems, the existence of Lagrangian or Kuhn-Tucker multipliers for shape optimization problems with equality or inequality constraints is proved.

引用

页码：1621 / 1642

页数：22

共 16 条

[1]

Aubin J. P., 1991, VIABILITY THEORY

[2]

Aubin J.P., 1990, SET-VALUED ANAL, V2, DOI 10.1007/978-0-8176-4848-0

[3]

CEA J, 1981, OPTIMIZATION DISTRIB, V1, P1005

[4] EXISTENCE OF A SOLUTION IN A DOMAIN IDENTIFICATION PROBLEM [J].