Publications HAL de Duprez de la structure 425649

Journal articles

titre
Phi-FD : A well-conditioned finite difference method inspired by phi-FEM for general geometries on elliptic PDEs
auteur
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
article
Journal of Scientific Computing, 2025, 104 (23), ⟨10.1007/s10915-025-02914-0⟩
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This paper presents a new finite difference method, called phi-FD, inspired by the phi-FEM approach .....
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https://hal.science/hal-04731164/file/phiFD_hal_revised.pdf BibTex
titre
Enhancing biomechanical simulations based on a posteriori error estimates: the potential of Dual Weighted Residual-driven adaptive mesh refinement
auteur
Huu Phuoc Bui, Michel Duprez, Pierre‐yves Rohan, Arnaud Lejeune, Stéphane Pierre Alain Bordas, Marek Bucki, Franz Chouly
article
International Journal for Numerical Methods in Biomedical Engineering, 2025, 41 (1), ⟨10.1002/cnm.3897⟩
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The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions .....
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https://hal.science/hal-04208610/file/revised_unmarked.pdf BibTex
titre
FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions
auteur
Valentina Scarponi, Juan Verde, Nazim Haouchine, Michel Duprez, Florent Nageotte, Stéphane Cotin
article
Healthcare Technology Letters, 2024, ⟨10.1049/htl2.12108⟩
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Endovascular interventions are procedures designed to diagnose and treat vascular diseases, using ca .....
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https://inria.hal.science/hal-04834683/file/Healthcare%20Tech%20Letters%20-%202024%20-%20Scarponi%20-%20FBG%E2%80%90driven%20simulation%20for%20virtual%20augmentation%20of%20fluoroscopic%20images%20during.pdf BibTex
titre
A Zero-Shot Reinforcement Learning Strategy for Autonomous Guidewire Navigation
auteur
Valentina Scarponi, Michel Duprez, Florent Nageotte, Stéphane Cotin
article
International Journal of Computer Assisted Radiology and Surgery, 2024, 19, pp.1185-1192. ⟨10.1007/s11548-024-03092-4⟩
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Purpose: The treatment of cardiovascular diseases requires complex and challenging navigation of a g .....
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https://inria.hal.science/hal-04488626/file/Manuscript.pdf BibTex
titre
Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment
auteur
Yves Dumont, Michel Duprez
article
Journal of Biological Systems, 2024, 32 (1), pp.311-347. ⟨10.1142/S0218339024500128⟩
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The sterile insect technique (SIT) is a biological control technique that can be used either to elim .....
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https://hal.science/hal-03811327/file/Temperature_rainfall_dependant_SIT_Aedes_model_preprint_DUMONT_DUPREZ_revised.pdf BibTex
titre
phi-FEM for the heat equation: optimal convergence on unfitted meshes in space
auteur
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
article
Comptes Rendus. Mathématique, 2023, 361 (G11), pp.1699-1710. ⟨10.5802/crmath.497⟩
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Thanks to a finite element method, we solve numerically parabolic partial differential equations on .....
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https://hal.science/hal-03685445/file/heat_cras_hal.pdf BibTex
titre
φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
auteur
Michel Duprez, Vanessa Lleras, Alexei Lozinski
article
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57, pp.1111-1142. ⟨10.1051/m2an/2023010⟩
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We present an immersed boundary method to simulate the creeping motion of a rigid particle in a flui .....
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https://hal.science/hal-03588715/file/main.pdf BibTex
titre
Delayed closed-loop neurostimulation for the treatment of pathological brain rhythms in mental disorders: a computational study
auteur
Thomas Wahl, Joséphine Riedinger, Michel Duprez, Axel Hutt
article
Frontiers in Neuroscience, 2023, 17, pp.1183670. ⟨10.3389/fnins.2023.1183670⟩
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Mental disorders (MD) are among the top most demanding challenges in worldwide health. According to .....
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https://hal.science/hal-04037276/file/fnins-17-1183670-3.pdf BibTex
titre
A new $\phi$-FEM approach for problems with natural boundary conditions
auteur
Michel Duprez, Vanessa Lleras, Alexei Lozinski
article
Numerical Methods for Partial Differential Equations, 2023, 39 (1), pp.281-303. ⟨10.1002/num.22878⟩
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We present a new finite element method, called φ-FEM, to solve numerically elliptic partial differ- .....
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https://hal.science/hal-02521042/file/main.pdf BibTex
titre
Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
auteur
Michel Duprez, Manuel González-Burgos, Diego Souza
article
Discrete and Continuous Dynamical Systems - Series S, 2023, 16 (6), pp.1346-1382. ⟨10.3934/dcdss.2023086⟩
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The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion .....
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https://hal.science/hal-03772372/file/DGBS_Nondiagonalizable.pdf BibTex
titre
Optimal control strategies for the sterile mosquitoes technique
auteur
Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet
article
Journal of Differential Equations, 2022, 311, pp.229-266. ⟨10.1016/j.jde.2021.12.002⟩
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Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigu .....
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https://hal.science/hal-02995414/file/TIS_optim_HalV2.pdf BibTex
titre
Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
auteur
Michel Duprez, Pierre Lissy
article
Annales de l'Institut Fourier, 2022, 72 (4), pp. 1621-1659. ⟨10.5802/aif.3501⟩
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This work is devoted to the control of the Fokker-Planck equation, posed on a smooth bounded domain .....
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https://hal.science/hal-02280501/file/FP-black.pdf BibTex
titre
How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
auteur
Pierre-Alexandre Bliman, Michel Duprez
article
Journal of Theoretical Biology, 2021, 511, pp.110557. ⟨10.1016/j.jtbi.2020.110557⟩
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Given maximal social distancing duration and intensity, how can one minimize the epidemic final size .....
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https://inria.hal.science/hal-02953047/file/BD-JTB-SUB2.pdf BibTex
titre
Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model
auteur
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat, Nicolas Vauchelet
article
Journal of Optimization Theory and Applications, 2021, 189 (2), pp.408--436. ⟨10.1007/s10957-021-01830-1⟩
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The aim of this article is to understand how to apply partial or total containment to SIR epidemic m .....
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https://hal.science/hal-02862922/file/BDPV_Opt_Loc_HAL.pdf BibTex
titre
Optimization of spatial control strategies for population replacement, application to Wolbachia
auteur
Michel Duprez, Romane Hélie, Yannick Privat, Nicolas Vauchelet
article
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.30. ⟨10.1051/cocv/2021070⟩
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In this article, we are interested in the analysis and simulation of solutions to an optimal control .....
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https://hal.science/hal-03044740/file/Wolbachia_spatial_revision.pdf BibTex
titre
Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study
auteur
Michel Duprez, Stéphane Pierre Alain Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar
article
Applied Mathematical Modelling, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩
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Errors in biomechanics simulations arise from modeling and discretization. Modeling errors are due t .....
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https://hal.science/hal-01616322/file/manuscript.pdf BibTex

Conference papers

titre
Autonomous Guidewire Navigation in Dynamic Environments
auteur
Valentina Scarponi, François Lecomte, Michel Duprez, Florent Nageotte, Stéphane Cotin
article
International Conference on Intelligent Robots and Systems, Oct 2024, Abu Dhabi, United Arab Emirates. pp.6931-6938, ⟨10.1109/IROS58592.2024.10801651⟩
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Cardiovascular disease treatment involves the challenging task of navigating guidewires and catheter .....
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https://inria.hal.science/hal-04681908/file/IROS_2024___Autonomous_Guidewire_Navigation_in_Dynamic_Environments_HAL-1.pdf BibTex
titre
FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions
auteur
Valentina Scarponi, Juan Verde, Nazim Haouchine, Michel Duprez, Florent Nageotte, Stéphane Cotin
article
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
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Endovascular interventions are procedures designed to diagnose and treat vascular diseases, using ca .....
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https://inria.hal.science/hal-04834732/file/AECAI_HAL.pdf BibTex
titre
About sterile insect control strategies in a two patches system
auteur
Yves Dumont, Michel Duprez, Yannick Privat
article
BIOMATH 2023 - International Conference on Mathematical Methods and Models in Biosciences, Jun 2023, Pomorie, Bulgaria
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Sterile Insect Technique is an autocidal method to control Vector of diseases and crop pest. It cons .....
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https://hal.science/hal-04162767/file/BIOMATH2023_Dumont-Duprez-Privat.pdf BibTex

Book sections

titre
φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer
auteur
Stéphane Cotin, Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
article
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⟩
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One of the major issues in the computational mechanics is to take into account the geometrical compl .....
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https://hal.science/hal-03372733/file/main.pdf BibTex
titre
Minimal cost-time strategies for mosquito population replacement
auteur
Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat
article
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
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Vector control plays a central role in the fight against vector-borne diseases and, in particular, a .....
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https://hal.science/hal-02532677/file/ABDP_HAL.pdf BibTex

Preprints, Working Papers, ...

titre
Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
auteur
Roland Becker, Franz Chouly, Michel Duprez, Thomas Richter, Christian Pierre-Yves Rohan, Thomas Wick
article
2025
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This chapter describes how a posteriori error estimates targeting a user-defined quantity of interes .....
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https://hal.science/hal-05051404/file/chapitre_DWR-2.pdf BibTex
titre
Enriching continuous Lagrange finite element approximation spaces using neural networks
auteur
Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac, Nicolas Victorion
article
2025
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In this work, we present a preliminary study combining two approaches in the context of solving PDEs .....
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https://hal.science/hal-04935072/file/main.pdf BibTex
titre
Residual-based a posteriori error estimates with boundary correction for Phi-FEM
auteur
Roland Becker, Raphaël Bulle, Michel Duprez, Vanessa Lleras
article
2025
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In this paper, we introduce and analyze an a posteriori error estimator for the immersed boundary fi .....
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https://hal.science/hal-04931977/file/hal.pdf BibTex
titre
Sterile Insect Technique in a Patch System: Influence of Migration Rates on Optimal Single-Patch Releases Strategies
auteur
Yves Dumont, Michel Duprez, Yannick Privat
article
2024
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The Sterile Insect Technique (SIT) is a biological control method used to reduce or eliminate pest p .....
Accès au texte intégral et bibtex
https://hal.science/hal-04693417/file/Sterile_Insect_Technique_in_a_Patch_System_DUMONT_DUPREZ_PRIVAT_2024.pdf BibTex
titre
Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
auteur
Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
article
2024
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In this paper, we propose a way to solve partial differential equations (PDEs) by combining machine .....
Accès au texte intégral et bibtex
https://hal.science/hal-04473794/file/main_hal.pdf BibTex