On a Shape Derivative Formula with Respect to Convex Domains

被引：0

作者：

Boulkhemair, A. ^{[1
]}

Chakib, A. ^{[2
]}

机构：

[1] Univ Nantes, CNRS, Lab Mathemat Jean Leray, UMR6629, F-44322 Nantes, France

[2] Univ Sultan Moulay Slimane, FST Beni Mellal, Lab Mathemat & Applicat, Beni Mellal, Morocco

来源：

JOURNAL OF CONVEX ANALYSIS | 2014年 / 21卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend to the case of W-loc(1,1) functions a formula, known for C-1 functions, for the computation of the shape derivative of an integral cost functional with respect to a class of admissible convex domains. The convexity context allows one to use the support functions of the domains to express the shape derivative. We shall also illustrate the formula by applying it to the computation of the shape derivative for a shape optimization problem and by giving an algorithm.

引用

页码：67 / 87

页数：21

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