Maatoug Hassine, Khalifa Khelifi
Abstract:
This article concerns the topological sensitivity analysis for the Laplace
operator with respect to the presence of a Dirichlet geometry perturbation.
Two main results are presented in this work.
In the first result we discuss the influence of the considered geometry
perturbation on the Laplace solution. In the second result we study the
high-order topological derivatives. We derive a high-order topological
asymptotic expansion for a large class of shape functions.
Submitted January 3, 2016. Published April 26, 2016.
Math Subject Classifications: 35A15, 35B25, 35B40, 49K40.
Key Words: Laplace equation; calculus of variations; sensitivity analysis;
topological derivative; topology optimization.
Show me the PDF file (226 KB), TEX file for this article.
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Maatoug Hassine Monastir University Department of Mathematics Faculty of Sciences Avenue de l'Environnement 5000 Monastir, Tunisia} email: maatoug.hassine@enit.rnu.tn |
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Khalifa Khelifi Monastir University Department of Mathematics Faculty of Sciences Avenue de l'Environnement 5000 Monastir, Tunisia email: khalifakhelifi@hotmail.fr |
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