Hello, welcome to
# My home page

Here you will find some
information on my scientific activities as
professor of Applied Mathematics in Jean Kuntzmann Lab
of Grenoble Institute of Technology of Grenoble Alpes University.

Applied mathematician, my research affiliation is the Partial Differential Equations team of the Jean Kuntzmann Lab, and I mainly teach in Ensimag, Grenoble Institute of Technology. My fields of research are mathematical and numerical analysis of PDE.

Research
## What I Do?

I got interested in developing new methods to capture interfaces while recording mechanical properties. Applications are in fluid structure coupling with a particular emphasis on modeling of red blood cells. I co-authored a book on that subject.

I worked on efficient algorithms for dynamic optimal transport and studied some of their analytical properties with Romain Hug and Nicolas Papadakis.

Mainly around doubly nonlinear elliptic-parabolic equations and transport equations.

[1] Thibaut Metivet, Arnaud Sengers, Mourad Ismail, Emmanuel Maitre. Diffusion–redistanciation schemes for 2D and 3D constrained Willmore flow: application to the equilibrium shapes of vesicles. Journal of Computational Physics, Elsevier, 2021.

[2] Georges–Henri Cottet, Emmanuel Maitre, Thomas
Milcent. Formulation Eulerienne et méthodes level set
pour des problèmes d’interaction
fluide–structure. Mathématiques et applications,
Springer, 2021.

[3] Meriem Jedouaa, Charles–Henri Bruneau, Emmanuel Maitre. An efficient interface capturing method for a large collection of interacting bodies immersed in a fluid. Journal of Computational Physics, Elsevier, 2019, 378, pp.143–177.

[4] Georges–Henri Cottet, Emmanuel Maitre. A semi–implicit level set method for multiphase flows and fluid–structure interaction problems. Journal of Computational Physics, Elsevier, 2016, 314, pp.80–92.

[5] Thomas Milcent, Emmanuel Maitre. Eulerian model of immersed elastic surfaces with full membrane elasticity. Communications in Mathematical Sciences, International Press, 2016, 14 (3), pp.857–881.

[6] Nicolas James, Emmanuel Maitre, Iraj Mortazavi. Immersed boundary methods for the numerical simulation of incompressible aerodynamic and fluid–structure interactions. Annales mathématiques Blaise Pascal, cedram, 2013, 20 (1), pp.139–173.

[7] Emmanuel Maitre, Chaouqi Misbah, Philippe Peyla, Annie Raoult. Comparison between advected–field and level–set methods in the study of vesicle dynamics. Physica D: Nonlinear Phenomena, Elsevier, 2012, 241 (2012), pp.1146–1157.

[8] Claire Bost, Georges–Henri Cottet, Emmanuel Maitre. 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, Society for Industrial and Applied Mathematics, 2010, 48 (4), pp.1313–1337.

[9] Emmanuel Maitre, Thomas Milcent, Georges–Henri Cottet, Annie Raoult, Yves Usson. Applications of level set methods in computational biophysics. Mathematical and Computer Modelling, Elsevier, 2009, 49 (11–12), pp.2161–2169.

[10] Georges–Henri Cottet, Emmanuel Maitre, Thomas Milcent. Eulerian formulation and level set models for incompressible fluid–structure interaction. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2008, 42 (3), pp.471–492.

[11] Emmanuel Maitre, Fadil Santosa. Level set methods for optimization problems involving geometry and constraints II. Optimization over a fixed surface. Journal of Computational Physics, Elsevier, 2008, 227 (22), pp.9596–9611.

[12] Emmanuel Maitre, Patrick Witomski. Transport equation with boundary conditions for free surface localization. Numerische Mathematik, Springer Verlag, 1999, 84 (2), pp.275–303.

[13] Georges–Henri Cottet, Emmanuel Maitre. A level set method for fluid–structure interactions with immersed surfaces. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2006, 16, pp.415–438.

[1] Romain Hug, Emmanuel Maitre, Nicolas Papadakis. On the convergence of augmented Lagrangian method for optimal transport between nonnegative densities. Journal of Mathematical Analysis and Applications, Elsevier, 2020, 485 (2), pp.123811.

[2] Morgane Henry, Emmanuel Maitre, Valérie Perrier. Primal–dual formulation of the Dynamic Optimal Transport using Helmholtz–Hodge decomposition. 2019.

[3] Romain Hug, Emmanuel Maitre, Nicolas Papadakis. Multi–physics Optimal Transportation and Image Interpolation. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, Special Issue – Optimal Transport, 49 (6), pp.1671–1692.

[4] Morgane Henry, Emmanuel Maitre, Valérie Perrier. Optimal Transport using Helmholtz–Hodge Decomposition and First–Order Primal–Dual Algorithms. 2015 IEEE International Conference on Image Processing (ICIP), Sep 2015, Quebec City, QC, Canada. pp.4748–4752,

[5] Damiano Lombardi, Emmanuel Maitre. Eulerian models and algorithms for unbalanced optimal transport. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, Special Issue – Optimal Transport, 49 (6), pp.1717–1744.

[1] Stéphane Labbé, Emmanuel Maitre. A free boundary model for
Korteweg fluids as a limit of barotropic compressible
Navier–Stokes equations. Methods and Applications of
Analysis, 2013, 20 (2), pp.165–178.

[2] Emmanuel Maitre. On a nonlinear compactness lemma in
Lp(0,T;B). International Journal of Mathematics and
Mathematical Sciences, 2003, vol. 2003, no 27,
p. 1725-1730.

[3] Emmanuel Maitre. Numerical analysis of nonlinear
elliptic-parabolic equations. ESAIM: Mathematical
Modelling and Numerical Analysis-Modélisation
Mathématique et Analyse Numérique, 2002, vol. 36, no
1, p. 143-153.

[4] Samir Akesbi, Emmanuel Maitre. Theoretical and numerical analysis of a minimal residual solver for 2D Boltzmann transport equation. Journal of computational and applied mathematics, 2003, vol. 150, no 2, p. 357-374.

[5] Emmanuel Maitre, Patrick Witomski. A pseudo–monotonicity
adapted to doubly nonlinear elliptic–parabolic equations. Nonlinear
Analysis: Theory, Methods and Applications, Elsevier, 2002, 50 (2),
pp.223–250.

[6] Samir Akesbi, Emmanuel Maitre. Minimal residual method applied to the transport equation. Numerical Algorithms, 2001, vol. 26, no 3, p. 235-249.

Teaching
## My lectures

1st year Ensimag

2nd year Ensimag / MSIAM 1

3rd year Ensimag / MSIAM M2

MSIAM M2

Gallery
## what i’ve worked on?

With biologists from the TIMC Lab we modelled the calcium waves propagation on rat cardiomyocytes.

With Georges-Henri Cottet we built a level set formulation of the immersed boundary method.

With Fadil Santosa we studied the isoperimetric problem on surface using the level set method.

With Nadjombé Faré we studied the draping problem while I was assistant professor in Mulhouse.

This instability is observed in the Leidenfrost phenomenom and is driven by a variation of surface stiffness.

Phospholipidic vesicles are models of red blood cells that undergo complex behavio in shear flow, that we studied with Physicists of LiPhy Lab.

Phospholipidic vesicles are models of red blood cells that undergo complex behavio in shear flow, that we studied with Physicists of LiPhy Lab.

With Meriem Jedouaa and Charles-Henri Bruneau we deviced an efficient method to efficiently handle interactions of many immersed objects in an Eulerian context. .

With Thibaut Metivet, Arnaud Sengers and Mourad Ismaïl we introduced diffusion redistancing schemes for computing high order geometric motion of interfaces. .

With Thomas Milcent we were able to model an immersed elastic membrane with full elasticity in the level set framework.

With Thibaut Metivet, Arnaud Sengers and Mourad Ismaïl we introduced diffusion redistancing schemes for computing high order geometric motion of interfaces. .

I am Vice Deputy for industrial
partnerships of Grenoble Institute of Technology and Management

Contact
## Get In Touch!

Laboratoire Jean Kuntzmann, Bâtiment IMAG, 700 avenue
Centrale, 38401 Saint-Martin d'Hères.

+33 4 57 42 17 61 / +33 6 74 13 28 55