5 citations · 14 across the 13 of their papers we have counts for
9 papers · 1 filter
Generalized Morrey-Campanato estimates for elliptic equations with coefficients of integrable oscillation
Laurent Seppecher
This work concerns regularity properties of weak solutions to elliptic equations in divergence form -div(au) = div F , under low regularity assumptions on both the coeffici…
Multi-parameter identification in systems of PDEs from internal data
Élie Bretin, Eliott Kacedan, Laurent Seppecher
This article aims to present a general analysis of a class of inverse problems that consists in recovering the elliptic parameter maps in systems of PDEs, such as the linear elasti…
Orthogonal modes of a fully anisotropic and heterogeneous elastic medium
Laurent Seppecher
The aim of this short note is to give a synthetic presentation of the mathematical elements that are used to solve the elastic wave system of equations in a bounded anisotropic ela…
Lamb modes and Born approximation for small shape defects inversion in elastic plates
Eric Bonnetier, Angele Niclas, Laurent Seppecher
The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape def…
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies
Eric Bonnetier, Angèle Niclas, Laurent Seppecher +1
This article aims to present a general study of the Helmholtz problem in slowly varying waveguides. This work is of particular interest at locally resonant frequencies, where a phe…
A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only
Habib Ammari, Elie Bretin, Pierre Millien +1
The aim of this paper is to present and analyze a new direct method for solving the linear elasticity inverse problem. Given measurements of some displacement fields inside a mediu…
Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation
Habib Ammari, Loc Hoang Nguyen, Laurent Seppecher
The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acoustic-optic data absorption distributions with bounded…
A mathematical and numerical framework for ultrasonically-induced Lorentz force electrical impedance tomography
Habib Ammari, Pol Grasland-Mongrain, Pierre Millien +2
We provide a mathematical analysis and a numerical framework for Lorentz force electrical conductivity imaging. Ultrasonic vibration of a tissue in the presence of a static magneti…
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process
Habib Ammari, Josselin Garnier, Loc Hoang Nguyen +1
The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstructi…