Michel Duprez Chargé de recherche Inria

Identifiants chercheurs

IdHAL :

michel-duprez

ORCID :

0000-0002-2059-2811

IdRef :

221458670

Publications

Pré-publication, Document de travail (3)

A penalized φ-FEM scheme for the Poisson Dirichlet problem Michel Duprez,Killian Vuillemot,Raphaël Bulle,Vanessa Lleras 2026 Pré-publication, Document de travail hal-05495474v1
Residual-based a posteriori error estimates with boundary correction for Phi-FEM Roland Becker,Raphaël Bulle,Michel Duprez,Vanessa Lleras 2025 Pré-publication, Document de travail hal-04931977v2
Enriching continuous Lagrange finite element approximation spaces using neural networks Hélène Barucq,Michel Duprez,Florian Faucher,Emmanuel Franck,Frédérique Lecourtieret al. 2025 Pré-publication, Document de travail hal-04935072v4

Article dans une revue (31)

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
Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations Roland Becker,Franz Chouly,Michel Duprez,Thomas Richter,Christian Pierre-Yves Rohanet 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
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
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 Bordaset al. International Journal for Numerical Methods in Biomedical Engineering, 2025, 41 (1), ⟨10.1002/cnm.3897⟩ Article dans une revue hal-04208610v4
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
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
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
FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions Valentina Scarponi,Juan Verde,Nazim Haouchine,Michel Duprez,Florent Nageotteet al. Healthcare Technology Letters, 2024, ⟨10.1049/htl2.12108⟩ Article dans une revue hal-04834683v2
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
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
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
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
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
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
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
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
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
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
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
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
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
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 Choulyet al. Applied Mathematical Modelling, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩ Article dans une revue hal-01616322v4
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
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
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
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
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
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
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
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
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

HDR (1)

A priori and a posteriori estimates of ﬁnite element schemes and development of commands for some dynamic phenomena Michel Duprez Analysis of PDEs [math.AP]. Université de Strasbourg, 2025 HDR tel-05406223v1

Logiciel (1)

phiFEM: a convenience package for using phiFEM with FEniCSx Raphael Bulle,Michel Duprez,Killian Vuillemot 2025, ⟨swh:1:dir:f504cfb1d1a49a7f6873be0f42a1ce569d12f520;origin=https://hal.archives-ouvertes.fr/hal-05325727;visit=swh:1:snp:4315191b750a7ffa3cd6c224a9b3db7f286327d4;anchor=swh:1:rel:b3bf1a318ce583d7d1de0ebba76b626941f7d3dd;path=/⟩ Logiciel hal-05325727v1

Communication dans un congrès (5)

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
FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions Valentina Scarponi,Juan Verde,Nazim Haouchine,Michel Duprez,Florent Nageotteet 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
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
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

Chapitre d'ouvrage (2)

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
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

Thèse (1)

Contrôlabilité de quelques systèmes gouvernés par des équations paraboliques Michel Duprez Géométrie algébrique [math.AG]. Université de Franche-Comté, 2015. Français. ⟨NNT : 2015BESA2038⟩ Thèse tel-01273789v2