Asymptotic formula for detecting inclusions via boundary measurements
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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.
CitationKhelifi, K., Abdelwahed, M., Chorfi, N., & Hassine, M. (2018). Asymptotic formula for detecting inclusions via boundary measurements. Electronic Journal of Differential Equations, 2018(134), pp. 1-16.
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