Elise Grosjean

postdoctoral researcher

inria-saclay

I am a postdoctoral researcher in applied mathematics at Inria Saclay.

My research interests include fluid mechanics, P.D.E analysis, numerical schemes, reduced order methods, and inverse problems.

Interests

Finite elements/volume methods
Programming Languages
Simulations of highly parameterized models from Physics/Biology
Inverse problems
Reduced Order methods

Education

PhD in Applied Mathematics, 11/2018-03/2022

Jacques-Louis Lions laboratory (LJLL)
Master in mathematics of modeling, 2015 - 2018

Pierre et Marie Curie university (UPMC)
Engineer school in Applied Mathematics and Computer Science, 2015 - 2018

Polytech-Paris UPMC
Bachelor in Fundamental Mathematics, 2012 - 2015

Pierre et Marie Curie university

Recent & upcoming Publications

Elise Grosjean, Yvon Maday (2023). Error estimate of the Non-Intrusive Reduced Basis (NIRB) two-grid method with parabolic equations, SMAI: JCM 9 (2023) 227-256.

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Elise Grosjean, Bernd Simeon, Christina Surulescu (2023). A mathematical model for meniscus cartilage regeneration (PAMM).

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Elise Grosjean, Bernd Simeon (2023). Error estimate of the non-intrusive reduced basis two-grid method applied to sensitivity analysis (preprint).

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Elise Grosjean, Yvon Maday (2022). A doubly reduced approximation for the solution to PDEs based on a domain truncation and a reduced basis method: Application to Navier-Stokes equations (preprint).

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Elise Grosjean, Yvon Maday (2021). Error estimate of the Non-Intrusive Reduced Basis method with finite volume schemes, ESAIM: M2AN 55 (2021) 1941–1961.

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Projects

Elise Grosjean

Jan 1, 0001

3D Discontinuous Galerkin - Meniscus regeneration macroscopic model simulation

Biomedical problem: Meniscus regeneration, multiscale modeling of tissue phenomena. 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)

Elise Grosjean

Jan 1, 0001

Back and Forth Nudging - Wave equation

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.

Elise Grosjean

Jan 1, 0001

Finite Elements Method implementation

Implement the Finite Elements method in C++ to solve 2D Navier-Stokes equation in a channel

Elise Grosjean

Jan 1, 0001

Non intrusive reduced basis module.

Contribute to an online library with EDF and other partners on non intrusive reduced basis method in Python and C++.

Recent & Upcoming Talks

ICCB2023

Meniscus tissue regeneration and sensitivity RB approach

Sep 20, 2023 — Sep 22, 2023 Wien (Österreich)

Elise Grosjean

SPP2311-Kick-off

Coupled analysis of active biological processes for meniscus tissue regeneration

Sep 12, 2023 — Magdeburg (Germany)

Elise Grosjean

GAMM Annual Meeting 2023

GAMM 2023

May 30, 2023 — Jun 2, 2023 Dresden (Germany)

Elise Grosjean

Campus France Presentation

Studying mathematics in France

Jan 4, 2023 —

Elise Grosjean, Camille Pouchol

MAP5 Groupe de travail Modelisation, Analyse, Simulation

Meniscus tissue regeneration - sensibility analysis - non-intrusive reduced basis method

Nov 25, 2022 — Nov 26, 2022

Elise Grosjean

CANUM 2022

Talk on non-intrusive reduced basis methods applied to parabolic equations.

Jun 13, 2022 — Jun 17, 2022 Paris

Elise Grosjean

See all events

Experience

POSTDOC

Inria-Saclay

Oct 2023 – Present Palaiseau, France

Inverse problem - wave parameter/initial condition reconstruction with back and forth nudging algorithm

POSTDOC

Felix-Klein-Zentrum für Mathematik

Mar 2022 – Sep 2023 Kaiserslautern, Deutschland

3D meniscus tissue regeneration problem implemented with FreeFem++
Study of the parameters through sensitivity analysis
Model order reduction

PhD

LJLL

Nov 2018 – Mar 2022 Paris, France

Study of non-instrusive reduced basis methods and application to offshore wind farms.

Internship

LJLL

Mar 2018 – Aug 2018 Paris, France

Study of the velocity stability threshold in a steam generator of a nuclear power plant by an algebraic method and an ALE finite element method (Freefem, Matlab), collaboration with Segula.