Asymptotic formula for detecting inclusions via boundary measurements
Date
2018-06-28
Authors
Khelifi, Khalifa
Abdelwahed, Mohamed
Chorfi, Nejmeddine
Hassine, Maatoug
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Laplace operator, Asymptotic analysis, Topological gradient, Kohn-Vogelius functional
Citation
Khelifi, 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.
Rights
Attribution 4.0 International