✦ LIBER ✦

Topological sensitivity analysis for some nonlinear PDE systems

✍ Scribed by Samuel Amstutz

Book ID: 104044733
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 194 KB
Volume: 85
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2005.10.008

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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