4 citations · 7 across the 6 of their papers we have counts for
6 papers
Calderón cavities inverse problem as a shape-from-moments problem
Alexandre Munnier, Karim Ramdani
In this paper, we address a particular case of Calderón's (or conductivity) inverse problem in dimension two, namely the case of a homogeneous background containing a finite number…
Conformal mapping for cavity inverse problem: an explicit reconstruction formula
Alexandre Munnier, Karim Ramdani
In this paper, we address a classical case of the Calderón (or conductivity) inverse problem in dimension two. We aim to recover the location and the shape of a single cavity (…
Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid
Alexandre Munnier, Karim Ramdani
We study a two dimensional collision problem for a rigid solid immersed in a cavity filled with a perfect fluid. We are led to investigate the asymptotic behavior of the Dirichlet…
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…
Reconstructing the potential for the 1D Schrödinger equation from boundary measurements
S. A. Avdonin, V. S. Mikhaylov, K. Ramdani
We consider the inverse problem of the determining the potential in the dynamical Schrödinger equation on the interval by the measurement on the whole boundary. Provided that sourc…
Reconstructing initial data using observers : error analysis of the semi-discrete and fully discrete approximations
Ghislain Haine, Karim Ramdani
A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [15]. Based on the concept of…