Topological sensitivity analysis for some nonlinear PDE systems

被引：34

作者：

Amstutz, S ^{[1
]}

机构：

[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2006年 / 85卷 / 04期

关键词：

shape optimization; topological sensitivity; nonlinear PDE;

D O I：

10.1016/j.matpur.2005.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the topological sensitivity analysis is to determine an asymptotic expansion of a design functional when creating a small hole inside the domain. In this work, such an expansion is obtained for a certain class of nonlinear PDE systems of order 2 in dimensions 2 and 3 with a Dirichlet condition prescribed on the boundary of an arbitrarily shaped hole. Some examples of such operators are presented. (c) 2005 Elsevier SAS. All riahts reserved.

引用

页码：540 / 557

页数：18

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