​Aria Abubakar (Schlumberger)
Jérôme Le Rousseau (Université Paris-Nord)
Vadim Markel (University of Pennsylvania)
Masahiro Yamamoto (University of Tokyo)

Larisa Beilina (University of Gothenburg)
Maïtine Bergounioux (Université d’Orléans)
Michel Cristofol (Aix-Marseille Université)
Anabela Da Silva (CNRS/ Institut Fresnel Marseille)
​Amélie Litman (Institut Fresnel Marseille)

In the inverse problems community, the current scientific interests are focused towards achieving better contrasted images, with higher spatial resolution and with quantitative contents, such as functional imaging in biomedical applications. As a consequence, more and more multi-modal, multi-wave or hybrid systems are currently being proposed and/or being used routinely. Mathematically, solving these inverse problems is even more complicated because they require a coupling, that can be soft or hard, between a set of partial differential equations not necessarily of the same nature (elliptic, hyperbolic, …). This leads to problems in terms of uniqueness, stability but also in terms of control which remain still little explored. In terms of numeric, these systems of PDEs may lead to large discretized domains, with large number of degrees of freedom, which must be adapted according to the wavelength of the considered waves.

One of the main objectives of this conference will be exchange of ideas and tools between different scientific communities, specially to favor the discussions between researchers more involved in theoretical aspects of inverse problems with the ones more interested in numerical implementation of these problems. Thus, this conference aims not only to provide an assessment of the state of the art on the tools currently proposed, but to serve as a forum for interchanging ideas on possible improvements and cross-fertilization. Furthermore, this conference gathers a number of researchers of international renown strongly involved in this multi-modal applications. Hence, the conference will stimulate applying of new theoretical and numerical tools for the solution of real-life problems as well as propose new systems for their solution on the basis of theoretical understanding.

​Un des objectifs de cette conférence sera précisément de permettre des échanges au sein de différentes communautés et en particulier de favoriser les discussions entre des chercheurs plus impliqués dans les aspects théoriques et d’autres plus intéressés par les approches numériques. Les objectifs de cette conférence ne se limitent pas à proposer un panorama de la recherche sur les outils actuellement utilisés. Elle doit également permettre de constituer un forum pour échanger sur les améliorations et les nouvelles idées. Cette conférence regroupe d’ailleurs de nombreux chercheurs de renom au niveau international très fortement impliqués dans ces applications multi-modales. Elle doit favoriser l’application de nouvelles approches et techniques numériques mais aussi l’émergence de nouveaux modèles s’inspirant des avancées théoriques.