5 citations · 11 across the 9 of their papers we have counts for
9 papers
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
Enhancement of near-cloaking for the full Maxwell equations
Habib Ammari, Hyeonbae Kang, Hyundae Lee +2
In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered,…
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity
Habib Ammari, Elie Bretin, Josselin Garnier +3
The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing chara…
Boundary perturbations due to the presence of small linear cracks in an elastic body
Habib Ammari, Hyeonbae Kang, Hyundae Lee +1
In this paper, Neumann cracks in elastic bodies are considered. We establish a rigorous asymptotic expansion for the boundary perturbations of the displacement (and traction) vecto…
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
Hyeonbae Kang, Graeme W. Milton
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume ele…