I am an Assistant Professor in applied mathematics at ENSTA Paris.
My research interests include fluid mechanics, P.D.E analysis, numerical schemes, reduced order methods, and inverse problems.
I am currently developping a website on reduced basis methods: link.
Interests
- Finite elements/volume methods
- Programming Languages
- Simulations of highly parameterized models from Physics/Biology
- Inverse problems
- Optimal transport
- Reduced Order methods
Education
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PhD in Applied Mathematics, 11/2018-03/2022
Jacques-Louis Lions laboratory (LJLL)
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Master in mathematics of modeling, 2015 - 2018
Pierre et Marie Curie university (UPMC)
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Engineer school in Applied Mathematics and Computer Science, 2015 - 2018
Polytech-Paris UPMC
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Bachelor in Fundamental Mathematics, 2012 - 2015
Pierre et Marie Curie university
Recent and upcoming publications
(2024).
Cell seeding dynamics in a porous scaffold material designed for meniscus tissue regeneration.
Projects
3D Discontinuous Galerkin - Meniscus regeneration macroscopic model simulation
Simulation with FreeFem++
- Paper : “https://onlinelibrary.wiley.com/doi/10.1002/pamm.202300261?af=R"
- Implement PDEs in FreeFem++ representing a nonwoven scaffold in a novel 3D printed perfusion chamber which is integrated in a bioreactor that allows in-vitro investigations of scaffolds in interaction with chondrocytes and adipose tissue-derived stem cells
- Stimulus via a pump system (fluid-solid interaction)
- Sensitivity analysis of the parameters with model order reduction techniques (compared to real data)
Back and Forth Nudging - Wave equation
Simulation with FreeFem++
Initial conditions reconstruction with BFN on a bounded domain [0,1] with Dirichlet bnd conditions, FEM P1 and Newmark scheme for time. Video in 1D with an observation of the measurements between [0,0.2] and [0.8,1].
Finite Elements Method implementation
Simulation with C++
- Implement the Finite Elements method in C++ to solve 2D Navier-Stokes equation in a channel Video in 2D
Non intrusive reduced basis module.
Module Python
- Contribute to an online library with EDF and other partners on non intrusive reduced basis method in Python and C++.
- Implement PDEs in FreeFem++ representing a nonwoven scaffold in a novel 3D printed perfusion chamber which is integrated in a bioreactor that allows in-vitro investigations of scaffolds in interaction with chondrocytes and adipose tissue-derived stem cells
- Stimulus via a pump system (fluid-solid interaction)
- Sensitivity analysis of the parameters with model order reduction techniques (compared to real data)
Experience
Assistant professor at ENSTA Paris (IDEFIX)
POSTDOC INRIA-SACLAY
Postdoc at INRIA-Saclay on assimilation data problem on wave parameter/initial condition reconstruction with back and forth nudging algorithm
POSTDOC at RPTU
Postdoc at RPTU in Kaiserslautern
- 3D meniscus tissue regeneration problem implemented with FreeFem++
- Study of the parameters through sensitivity analysis
- Model order reduction
PhD at Sorbonne Universite
PhD on non-intrusive reduced basis methods and application to offshore wind farms.
