Détermination de Formes et Identification
More information on this research group is available on its homepage
Houssem Haddar (INRIA Saclay Ile de France) +33 1 6933 4641
Assistant of INRIA teams
Wallis Filippi (INRIA Saclay Ile de France) +33 1 6933 4603
Grégoire Allaire (Ecole polytechnique) +33 1 6933 4611
Armin Lechleiter (INRIA Saclay Ile de France) +33 1 6933 4635
Jing-Rebecca Li (INRIA Saclay Ile de France) +33 1 3963 5355
Olivier Pantz (Ecole polytechnique) +33 1 6933 4585
Aziz Darouichi (INRIA Saclay Ile de France)
Yosra Boukari (LAMSIN)
Anne Cosonnière (CERFACS)
Nicolas Chaulet (ENSTA)
Ðình Liêm Nguyen (Ecole polytechnique)
Dimitri Nicolas (Ecole polytechnique)
Zixian Jiang (Ecole polytechnique)
Main Research Interests :
The research activity of our team is dedicated to the design, analysis and implementation of efficient numerical methods to solve inverse and/or shape and topological optimization problems in connection with acoustics, electromagnetism, elastodynamics, and waves in general.
Sought practical applications include radar and sonar applications, bio-medical imaging techniques, non-destructive testing, structural design, composite materials, ...
Roughly speaking, the model problem consists in determining information on, or optimizing the geometry (topology) and/or the physical properties of unknown targets from given constraints or measurements, for instance measurements of diffracted waves. In general this kind of problems is non linear. The inverse ones are also severely ill-posed and therefore require special attention from regularization point of view, and non trivial adaptations of classical optimization methods.
Our scientific research interests are three-fold :
Theoretical understanding and analysis of the forward and inverse mathematical models, including in particular the development of simplified models for adequate asymptotic configurations.
The design of efficient numerical optimization/inversion methods which are quick and robust with respect to noise. Special attention will be paid to algorithms capable of treating large scale problems (e.g. 3-D problems) and/or suited for real-time imaging.
Development of prototype softwares for precise applications or tutorial toolboxes.