43 citations · 51 across the 7 of their papers we have counts for
7 papers
Generalized impedance boundary conditions with vanishing or sign-changing impedance
Lucas Chesnel, Laurent Bourgeois
We consider a Laplace type problem with a generalized impedance boundary condition of the form on a flat part of the boundary. Here …
The Morozov's principle applied to data assimilation problems
Laurent Bourgeois, Jérémi Dardé
This paper is focused on the Morozov's principle applied to an abstract data assimilation framework, with particular attention to three simple examples: the data assimilation probl…
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
Laurent Bourgeois, Lucas Chesnel
We are interested in the classical ill-posed Cauchy problem for the Laplace equation. One method to approximate the solution associated with compatible data consists in considering…
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
Laurent Bourgeois, Lucas Chesnel, Sonia Fliss
We study the propagation of elastic waves in the time-harmonic regime in a waveguide which is unbounded in one direction and bounded in the two other (transverse) directions. We as…
The "exterior approach" applied to the inverse obstacle problem for the heat equation
Laurent Bourgeois, Jérémi Dardé
In this paper we consider the " exterior approach " to solve the inverse obstacle problem for the heat equation. This iterated approach is based on a quasi-reversibility method to…
On simultaneous identification of the shape and generalized impedance boundary condition in obstacle scattering
Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar
We consider the inverse obstacle scattering problem of determining both the shape and the "equivalent impedance" from far field measurements at a fixed frequency. In this work, the…
Stable reconstruction of generalized impedance boundary conditions
Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar
We are interested in the identification of a Generalized Impedance Boundary Condition from the far--fields created by one or several incident plane waves at a fixed frequency. We f…