Michel Duprez

Chargé de recherche Inria
40
Documents
Affiliations actuelles
  • Centre Inria de l'Université de Lorraine
  • Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie (ICube)
  • Computational Anatomy and Simulation for Medicine (MIMESIS)
Identifiants chercheurs
Contact

Domaines de recherche

Optimisation et contrôle [math.OC] Analyse numérique [math.NA]

Compétences

Méthodes numériques éléments finis Chirurgie augmentée Méthodes numériques éléments finis Feedback contrôle Neurostimulation Insertion de cathéter Épidémiologie

Publications

Publications

Image document

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries

Michel Duprez , Vanessa Lleras , Alexei Lozinski , Vincent Vigon , Killian Vuillemot
Communications in Nonlinear Science and Numerical Simulation, 2026, 152, pp.109131. ⟨10.1016/j.cnsns.2025.109131⟩
Article dans une revue hal-04473794 v3
Image document

Phi-FD : A well-conditioned finite difference method inspired by phi-FEM for general geometries on elliptic PDEs

Michel Duprez , Vanessa Lleras , Alexei Lozinski , Vincent Vigon , Killian Vuillemot
Journal of Scientific Computing, 2025, 104 (23), ⟨10.1007/s10915-025-02914-0⟩
Article dans une revue hal-04731164 v2
Image document

Sterile Insect Technique in a Patch System: Influence of Migration Rates on Optimal Single-Patch Releases Strategies

Yves Dumont , Michel Duprez , Yannick Privat
Journal of Mathematical Biology, 2025, 91 (6), pp.71. ⟨10.1007/s00285-025-02297-8⟩
Article dans une revue hal-04693417 v3
Image document

Enhancing biomechanical simulations based on a posteriori error estimates: the potential of Dual Weighted Residual-driven adaptive mesh refinement

Huu Phuoc Bui , Michel Duprez , Pierre‐yves Rohan , Arnaud Lejeune , Stéphane Pierre Alain Bordas et al.
International Journal for Numerical Methods in Biomedical Engineering, 2025, 41 (1), ⟨10.1002/cnm.3897⟩
Article dans une revue hal-04208610 v4
Image document

FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions

Valentina Scarponi , Juan Verde , Nazim Haouchine , Michel Duprez , Florent Nageotte et al.
Healthcare Technology Letters, 2024, ⟨10.1049/htl2.12108⟩
Article dans une revue hal-04834683 v2
Image document

A Zero-Shot Reinforcement Learning Strategy for Autonomous Guidewire Navigation

Valentina Scarponi , Michel Duprez , Florent Nageotte , Stéphane Cotin
International Journal of Computer Assisted Radiology and Surgery, 2024, 19, pp.1185-1192. ⟨10.1007/s11548-024-03092-4⟩
Article dans une revue hal-04488626 v1
Image document

Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment

Yves Dumont , Michel Duprez
Journal of Biological Systems, 2024, 32 (1), pp.311-347. ⟨10.1142/S0218339024500128⟩
Article dans une revue hal-03811327 v3
Image document

φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations

Michel Duprez , Vanessa Lleras , Alexei Lozinski
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57, pp.1111-1142. ⟨10.1051/m2an/2023010⟩
Article dans une revue hal-03588715 v4
Image document

Delayed closed-loop neurostimulation for the treatment of pathological brain rhythms in mental disorders: a computational study

Thomas Wahl , Joséphine Riedinger , Michel Duprez , Axel Hutt
Frontiers in Neuroscience, 2023, 17, pp.1183670. ⟨10.3389/fnins.2023.1183670⟩
Article dans une revue hal-04037276 v5
Image document

A new $\phi$-FEM approach for problems with natural boundary conditions

Michel Duprez , Vanessa Lleras , Alexei Lozinski
Numerical Methods for Partial Differential Equations, 2023, 39 (1), pp.281-303. ⟨10.1002/num.22878⟩
Article dans une revue hal-02521042 v3
Image document

Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix

Michel Duprez , Manuel González-Burgos , Diego Souza
Discrete and Continuous Dynamical Systems - Series S, 2023, 16 (6), pp.1346-1382. ⟨10.3934/dcdss.2023086⟩
Article dans une revue hal-03772372 v1
Image document

phi-FEM for the heat equation: optimal convergence on unfitted meshes in space

Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot
Comptes Rendus. Mathématique, 2023, 361 (G11), pp.1699-1710. ⟨10.5802/crmath.497⟩
Article dans une revue hal-03685445 v2
Image document

Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control

Michel Duprez , Pierre Lissy
Annales de l'Institut Fourier, 2022, 72 (4), pp. 1621-1659. ⟨10.5802/aif.3501⟩
Article dans une revue hal-02280501 v4
Image document

Optimal control strategies for the sterile mosquitoes technique

Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet
Journal of Differential Equations, 2022, 311, pp.229-266. ⟨10.1016/j.jde.2021.12.002⟩
Article dans une revue hal-02995414 v4
Image document

How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?

Pierre-Alexandre Bliman , Michel Duprez
Journal of Theoretical Biology, 2021, 511, pp.110557. ⟨10.1016/j.jtbi.2020.110557⟩
Article dans une revue hal-02953047 v2
Image document

Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model

Pierre-Alexandre Bliman , Michel Duprez , Yannick Privat , Nicolas Vauchelet
Journal of Optimization Theory and Applications, 2021, 189 (2), pp.408--436. ⟨10.1007/s10957-021-01830-1⟩
Article dans une revue hal-02862922 v2
Image document

Optimization of spatial control strategies for population replacement, application to Wolbachia

Michel Duprez , Romane Hélie , Yannick Privat , Nicolas Vauchelet
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.30. ⟨10.1051/cocv/2021070⟩
Article dans une revue hal-03044740 v2
Image document

Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field

Michel Duprez , Morgan Morancey , Francesco Rossi
Journal of Differential Equations, 2020, 269 (1)
Article dans une revue hal-01676679 v3
Image document

φ-FEM: a finite element method on domains defined by level-sets

Michel Duprez , Alexei Lozinski
SIAM Journal on Numerical Analysis, 2020, 58 (2), ⟨10.1137/19M1248947⟩
Article dans une revue hal-02521111 v1
Image document

Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study

Michel Duprez , Stéphane Pierre Alain Bordas , Marek Bucki , Huu Phuoc Bui , Franz Chouly et al.
Applied Mathematical Modelling, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩
Article dans une revue hal-01616322 v4
Image document

Control of the Grushin equation: non-rectangular control region and minimal time

Michel Duprez , Armand Koenig
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.3. ⟨10.1051/cocv/2019001⟩
Article dans une revue hal-01829294 v2
Image document

Finite element method with local damage of the mesh

Michel Duprez , Vanessa Lleras , Alexei Lozinski
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (6), pp.1871-1891. ⟨10.1051/m2an/2019023⟩
Article dans une revue hal-01858033 v2
Image document

Mosquito population control strategies for fighting against arboviruses

Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet
Mathematical Biosciences and Engineering, 2019, 16 (6), pp.6274-6297. ⟨10.3934/mbe.2019313⟩
Article dans une revue hal-01984426 v2
Image document

Approximate and exact controllability of the continuity equation with a localized vector field

Michel Duprez , Morgan Morancey , Francesco Rossi
SIAM Journal on Control and Optimization, 2019, 57 (2), pp.1284-1311. ⟨10.1137/17M1152917⟩
Article dans une revue hal-01619019 v2
Image document

Compact perturbations of controlled systems

Michel Duprez , Guillaume Olive
Mathematical Control and Related Fields, 2018, 8 (2), pp.397-410
Article dans une revue hal-01406540 v2
Image document

Criterion of positivity for semilinear problems with applications in biology

Michel Duprez , Antoine Perasso
Positivity, 2017, 21 (4), p. 1383-1392. ⟨10.1007/s11117-017-0474-0⟩
Article dans une revue hal-01290966 v2
Image document

Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms

Michel Duprez , Pierre Lissy
Journal of Evolution Equations, In press, 18, pp.659-680. ⟨10.1007/s00028-017-0415-1⟩
Article dans une revue hal-01370955 v1
Image document

Partial null controllability of parabolic linear systems

Farid Ammar-Khodja , Franz Chouly , Michel Duprez
Mathematical Control and Related Fields, 2017, 6 (2), pp.Pages: 185 - 216. ⟨10.3934/xx.xx.xx.xx⟩
Article dans une revue hal-01115812 v2
Image document

Indirect controllability of some linear parabolic systems of m equations with m − 1 controls involving coupling terms of zero or first order

Michel Duprez , Pierre Lissy
Journal de Mathématiques Pures et Appliquées, 2016, 106 (5), pp.905-934. ⟨10.1016/j.matpur.2016.03.016⟩
Article dans une revue hal-01162105 v1
Image document

FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions

Valentina Scarponi , Juan Verde , Nazim Haouchine , Michel Duprez , Florent Nageotte et al.
Medical Imaging and Augmented Reality, Augmented Environments for Computer Assisted Interventions (AE-CAI), Computer Assisted and Robotic Endoscopy (CARE) and Context-Aware Operating Theaters (OR 2.0) - MICCAI 2024 workshop, Oct 2024, Marrackech, Morocco
Communication dans un congrès hal-04834732 v1
Image document

Autonomous Guidewire Navigation in Dynamic Environments

Valentina Scarponi , François Lecomte , Michel Duprez , Florent Nageotte , Stéphane Cotin
International Conference on Intelligent Robots and Systems, Oct 2024, Abu Dhabi, United Arab Emirates. pp.6931-6938, ⟨10.1109/IROS58592.2024.10801651⟩
Communication dans un congrès hal-04681908 v1
Image document

About sterile insect control strategies in a two patches system

Yves Dumont , Michel Duprez , Yannick Privat
BIOMATH 2023 - International Conference on Mathematical Methods and Models in Biosciences, Jun 2023, Pomorie, Bulgaria
Communication dans un congrès hal-04162767 v1
Image document

Minimal time problem for discrete crowd models with a localized vector field

Michel Duprez , Morgan Morancey , Francesco Rossi
57th IEEE Conference on Decision and Control (CDC), Dec 2018, Miami Beach, FL, United States. pp.1675-1680
Communication dans un congrès hal-01493143 v5

Controllability and optimal control of the transport equation with a localized vector field

Michel Duprez , Morgan Morancey , Francesco Rossi
25th Mediterranean Conference on Control and Automation (MED), Univ Malta, Jul 2017, Valletta, Malta. pp.74 - 79, ⟨10.1109/MED.2017.7984098⟩
Communication dans un congrès hal-01474551 v3
Image document

Minimal cost-time strategies for mosquito population replacement

Luis Almeida , Jesús Bellver Arnau , Michel Duprez , Yannick Privat
Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat. Optimization and Control for Partial Differential Equations, 29, De Gruyter, 2022, Radon Series on Computational and Applied Mathematics, 9783110695984
Chapitre d'ouvrage hal-02532677 v3
Image document

φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer

Stéphane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot
Stéphane Bordas; Alexander Menk; Sundararajan Natarajan. Partition of Unity Methods, Wiley, pp.191-216, 2022, Wiley Series in Computational Mechanics, 978-0470667088. ⟨10.1002/9781118535875.ch7⟩
Chapitre d'ouvrage hal-03372733 v1