Michel Duprez

Chargé de recherche Inria
44
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

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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-04473794v3
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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-04731164v2
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Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations

Roland Becker , Franz Chouly , Michel Duprez , Thomas Richter , Christian Pierre-Yves Rohan et al.

Advances in Applied Mechanics, 2025, Advances in Applied Mechanics, 61, pp.75-127. ⟨10.1016/bs.aams.2025.10.002⟩

Article dans une revue hal-05051404v2
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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-04693417v3
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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-04208610v4
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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-04834683v2
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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-03811327v3
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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-04488626v1
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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-03588715v4
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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-04037276v5
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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-03772372v1
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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-03685445v2
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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-02521042v3
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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-02995414v4
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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-02280501v4
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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-02862922v2
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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-02953047v2
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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-03044740v2
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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-01676679v3
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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-02521111v1
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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-01829294v2
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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-01616322v4
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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-01858033v2
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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-01619019v2
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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-01984426v2
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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-01406540v2
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Controllability of a 2 × 2 parabolic system by one force with space-dependent coupling term of order one

Michel Duprez

ESAIM: Control, Optimisation and Calculus of Variations, 2017, 23, p. 1473-1498. ⟨10.1051/cocv/2016061⟩

Article dans une revue hal-01174812v2
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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-01290966v2
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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-01370955v1
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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-01115812v2
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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-01162105v1
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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-04834732v1
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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-04681908v1
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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-04162767v1
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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-01493143v5

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-01474551v3
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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-02532677v3
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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-03372733v1