Applied Mathematics · Grenoble

Emmanuel
Maitre

Professor of Applied Mathematics at Grenoble INP – Ensimag , UGA, affiliated with the PDE team of Laboratoire Jean Kuntzmann. My research spans Analysis and numerical analysis of PDEs, level set methods, and optimal transport.

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Who I am

About Me

Emmanuel Maitre

Emmanuel Maitre · LJK, Ensimag

Applied mathematician

My research affiliation is the Partial Differential Equations team of the Jean Kuntzmann Laboratory. I mainly teach at Ensimag, Grenoble INP - UGA.

My fields of research are mathematical and numerical analysis of PDEs, with a strong focus on interface-capturing methods and their applications in fluid–structure interaction, biophysics (red blood cells, vesicles), and image processing.

I am since 2024 Director of Grenoble INP - Ensimag, UGA, which is quiet reducing my time for research.

PDEs Level Set Methods Optimal Transport Fluid–Structure Interaction Numerical Analysis Biophysics
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EDP Team
Scientific work

Research

Level Set Methods

New methods to capture interfaces while recording mechanical properties. Applications in fluid–structure coupling, with emphasis on red blood cells.
→ Co-authored book

Optimal Transport

Efficient algorithms for dynamic optimal transport and analytical properties, with Romain Hug and Nicolas Papadakis.

Partial Differential Equations

Doubly nonlinear elliptic-parabolic equations and transport equations.

Publications — Level Set Methods
  1. [1] Metivet T., Sengers A., Ismail M., Maitre E. Diffusion–redistanciation schemes for 2D and 3D constrained Willmore flow: application to the equilibrium shapes of vesicles. Journal of Computational Physics, Elsevier.2021
  2. [2] Cottet G.-H., Maitre E., Milcent T. Formulation Eulerienne et méthodes level set pour des problèmes d'interaction fluide–structure. Mathématiques et applications, Springer.2021
  3. [3] Jedouaa M., Bruneau C.-H., Maitre E. An efficient interface capturing method for a large collection of interacting bodies immersed in a fluid. Journal of Computational Physics, Elsevier, 378, pp.143–177.2019
  4. [4] Cottet G.-H., Maitre E. A semi–implicit level set method for multiphase flows and fluid–structure interaction problems. Journal of Computational Physics, Elsevier, 314, pp.80–92.2016
  5. [5] Milcent T., Maitre E. Eulerian model of immersed elastic surfaces with full membrane elasticity. Communications in Mathematical Sciences, 14(3), pp.857–881.2016
  6. [6] James N., Maitre E., Mortazavi I. Immersed boundary methods for the numerical simulation of incompressible aerodynamic and fluid–structure interactions. Annales mathématiques Blaise Pascal, 20(1), pp.139–173.2013
  7. [7] Maitre E., Misbah C., Peyla P., Raoult A. Comparison between advected–field and level–set methods in the study of vesicle dynamics. Physica D, 241, pp.1146–1157.2012
  8. [8] Bost C., Cottet G.-H., Maitre E. Convergence analysis of a penalization method for the three–dimensional motion of a rigid body in an incompressible viscous fluid. SIAM Journal on Numerical Analysis, 48(4), pp.1313–1337.2010
  9. [9] Maitre E., Milcent T., Cottet G.-H., Raoult A., Usson Y. Applications of level set methods in computational biophysics. Mathematical and Computer Modelling, 49(11–12), pp.2161–2169.2009
  10. [10] Cottet G.-H., Maitre E., Milcent T. Eulerian formulation and level set models for incompressible fluid–structure interaction. ESAIM: M2AN, 42(3), pp.471–492.2008
  11. [11] Maitre E., Santosa F. Level set methods for optimization problems involving geometry and constraints II. Journal of Computational Physics, 227(22), pp.9596–9611.2008
  12. [12] Cottet G.-H., Maitre E. A level set method for fluid–structure interactions with immersed surfaces. Math. Models and Methods in Applied Sciences, 16, pp.415–438.2006
  13. [13] Maitre E., Witomski P. Transport equation with boundary conditions for free surface localization. Numerische Mathematik, 84(2), pp.275–303.1999
Publications — Optimal Transport
  1. [1] Hug R., Maitre E., Papadakis N. On the convergence of augmented Lagrangian method for optimal transport between nonnegative densities. J. Math. Analysis and Applications, 485(2), 123811.2020
  2. [2] Henry M., Maitre E., Perrier V. Primal–dual formulation of the Dynamic Optimal Transport using Helmholtz–Hodge decomposition.2019
  3. [3] Hug R., Maitre E., Papadakis N. Multi–physics Optimal Transportation and Image Interpolation. ESAIM: M2AN, 49(6), pp.1671–1692.2015
  4. [4] Henry M., Maitre E., Perrier V. Optimal Transport using Helmholtz–Hodge Decomposition and First–Order Primal–Dual Algorithms. IEEE ICIP 2015, Quebec City.2015
  5. [5] Lombardi D., Maitre E. Eulerian models and algorithms for unbalanced optimal transport. ESAIM: M2AN, 49(6), pp.1717–1744.2015
Publications — Partial Differential Equations
  1. [1] Labbé S., Maitre E. A free boundary model for Korteweg fluids as a limit of barotropic compressible Navier–Stokes equations. Methods and Applications of Analysis, 20(2), pp.165–178.2013
  2. [2] Maitre E. On a nonlinear compactness lemma in Lp(0,T;B). International Journal of Mathematics and Mathematical Sciences, vol. 2003, no 27, p. 1725–1730.2003
  3. [3] Maitre E. Numerical analysis of nonlinear elliptic-parabolic equations. ESAIM: M2AN, 36(1), p. 143–153.2002
  4. [4] Akesbi S., Maitre E. Theoretical and numerical analysis of a minimal residual solver for 2D Boltzmann transport equation. Journal of computational and applied mathematics, 150(2), pp. 357–374.2003
  5. [5] Maitre E., Witomski P. A pseudo–monotonicity adapted to doubly nonlinear elliptic–parabolic equations. Nonlinear Analysis, 50(2), pp.223–250.2002
  6. [6] Akesbi S., Maitre E. Minimal residual method applied to the transport equation. Numerical Algorithms, 26(3), p. 235–249.2001
Education

Teaching

1st year Ensimag

Mathematical Analysis

Core mathematical analysis course for first-year engineering students at Ensimag.

2nd year Ensimag / MSIAM 1

Variational Methods Applied to Modelling

Variational formulations and their applications to physical and engineering models.

3rd year Ensimag / MSIAM M2

Level Set and Optimisation Methods for Image Analysis

Advanced methods combining level set techniques with convex optimisation for image segmentation and processing.

MSIAM M2

Modelling Seminar and Projects

Supervised research projects for master's students on topics in applied mathematics and scientific computing.

Level-Set Method / Image Applications
Level-Set / Other Applications
Seismic Imaging & Geophysics / Optimal Transport
Industry

Partnerships

Industrial Partnerships

I served from 2020 to 2024 as Vice Deputy for industrial partnerships of Grenoble Institute of Technology and Management, fostering collaboration between academia and industry across engineering, research, and education. Before that, I led MaiMoSiNE from 2016 to 2020.

Students & Hiring

Opportunities for your company to interact with and hire talented students from Ensimag and other schools of Grenoble INP and UGA.

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Research & Development

Access current research results and patents from 42 laboratories affiliated to our institute to develop your business.

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Life-Long Learning

Increase the scientific skills of your employees through tailored courses on many topics.

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Contact

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Address
Laboratoire Jean Kuntzmann
Bâtiment IMAG
700 avenue Centrale
38401 Saint-Martin d'Hères
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Phone
+33 4 57 42 17 61
+33 6 74 13 28 55
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Email
emmanuel.maitre@grenoble-inp.fr