Khelifi, KhalifaAbdelwahed, MohamedChorfi, NejmeddineHassine, Maatoug2022-02-142022-02-142018-06-28Khelifi, K., Abdelwahed, M., Chorfi, N., & Hassine, M. (2018). Asymptotic formula for detecting inclusions via boundary measurements. <i>Electronic Journal of Differential Equations, 2018</i>(134), pp. 1-16.1072-6691https://hdl.handle.net/10877/15334In this article, we are concerned with a geometric inverse problem related to the Laplace operator in a three-dimensional domain. The aim is to derive an asymptotic formula for detecting an inclusion via boundary measurement. The topological sensitivity method is applied to calculate a high-order topological asymptotic expansion of the semi-norm Kohn-Vogelius functional, when a Dirichlet perturbation is introduced in the initial domain.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalLaplace operatorAsymptotic analysisTopological gradientKohn-Vogelius functionalArticle