On the high-order topological asymptotic expansion for shape functions
Maatoug Hassine, Khalifa Khelifi · DOAJ (DOAJ: Directory of Open Access Journals) · 2016
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.