41 citations · 72 across the 7 of their papers we have counts for
7 papers
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…
Electrodeless electrode model for electrical impedance tomography
J. Dardé, N. Hyvönen, T. Kuutela +1
Electrical impedance tomography is an imaging modality for extracting information on the interior structure of a physical body from boundary measurements of current and voltage. Th…
Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography
Valentina Candiani, Jérémi Dardé, Henrik Garde +1
The monotonicity-based approach has become one of the fundamental methods for reconstructing inclusions in the inverse problem of electrical impedance tomography. Thus far the meth…
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 the reachable set for the one-dimensional heat equation
Jérémi Dardé, Sylvain Ervedoza
The goal of this article is to provide a description of the reachable set of the one-dimensional heat equation, set on the spatial domain x (--L, L) with Dirichlet boundary c…
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems
Jérémi Dardé
We study the iterated quasi-reversibility method to regularize ill-posed elliptic and parabolic problems: data completion problems for Poisson's and heat equations. We define an ab…
Simultaneous reconstruction of outer boundary shape and admittivity distribution in electrical impedance tomography
Jérémi Dardé, Nuutti Hyvönen, Aku Seppänen +1
The aim of electrical impedance tomography is to reconstruct the admittivity distribution inside a physical body from boundary measurements of current and voltage. Due to the sever…