About me
I am an engineer from the École des Ponts ParisTech. I am currently working as a PhD student at Inria Paris, affiliated with the MATHERIALS team, and at École des Ponts ParisTech in the CERMICS laboratory. My PhD advisors are Claude Le Bris and Frédéric Legoll. My research is founded by the FSMP.
You can download my CV here (english) or here (french).
You can contact me at simon.ruget@enpc.fr.
Research Activities
I am particularly interested in developping new mathematical tools to better understand and/or simulate physical systems.
My PhD works are at the crossroads of Homogenization Theory and Inverse Problem. More precisely, Claude Le Bris, Frédéric Legoll and I are developping strategies based on Homogenization Theory to reconstruct the effective properties associated to a multiscale PDE based on measurement of their solutions. It finds applications e.g. in Mechanics (see composite materials).
During my internship at EDF Lab Chatou, Martin Ferrand, Jean-Marc Hérard, Thomas Norddine and I developped new numerical schemes to simulate turbulent incompressible flows.
During my internship at CEA Grenoble, Ivan Duchemin, Luigi Genovese, Éloïse Letournel, Antoine Levitt, and I developped a new method to compute the eigenvalues of a Schrödinger operator.
Here is a list of my publications:
[3] C. Le Bris, F. Legoll, S. Ruget, Effective approximation of multiscale PDE based on coarse measurements, in preparation.
[2] M. Ferrand, J.-M. Hérard, T. Norddine, S. Ruget, Stable schemes for second-moment turbulent models for incompressible flows, Comptes Rendus. Mécanique, 2023, DOI: https://doi.org/10.5802/crmeca.202.
[1] I. Duchemin, L. Genovese, E. Letournel, A. Levitt, S. Ruget, Efficient extraction of resonant states in systems with defects, Journal of Computational Physics, 2023, DOI: https://doi.org/10.1016/j.jcp.2023.111928.
Here is a list of the conferences I attended:
[ROMCEP25] Reduced-Order Modeling for Complex Engineering Problems From Analysis to Practical Implementation, IMSI Insitute, January 29th 2025 - February 7th 2025, Chicago, United States, poster, slides.
[ECCOMAS24] 9th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, June 3rd 2024 - June 7th 2024, Lisbon, Portugal.
[CANUM24] 46ème Congrès National d'Analyse Numérique, SMAI, May 27th 2024 - May 31st 2024, Île de Ré, France.
[GAMM24] Seminar on Microstructures, GAMM, Januar 25th 2024 - Januar 26th 2024, Bochum, Germany.
[FJM23] Forum des Jeunes Mathématicien et Mathématiciennes, Association Femmes et Mathématiques, November 22nd 2023 - November 24th 2023, Bruxelles, Belgium.
[CJCMA23] Congrès des Jeunes Chercheurs en Mathématiques et Applications, SMAI, September 25th 2023 - September 27th 2023, Gif-sur-Yvette, France, poster.
[CSE23] Conferences on Computational Science and Engineering (CSE23), SIAM, Februar 27th 2023 - March 3rd 2023, Amsterdam, Netherlands.
Here is the list of journals for which I have done review of research articles:
Teaching Activities
I am also a teaching assistant at École des Ponts ParisTech. I have given the following courses:
[-] Analysis of Partial Differential Equations , 34h, 24 students (first year ENPC). This course introduces several theoretical tools (such as Banach spaces, Hilbert spaces, Lebesgue spaces, Notion of Measure Theory, Fourier Analysis, Fourier Transform, Notion of Distribution Theory, ...) to handle PDE.
[-] Partial Differential Equations: Variational and Energetical Approaches, 15h, 25 students (first year ENPC), webpage.
I have also been the supervisor of:
[-] Ethem Colak (MsC Student). The internship lasted from June 2024 to September 2024.