Journal articles
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- Phi-FD : A well-conditioned finite difference method inspired by phi-FEM for general geometries on elliptic PDEs
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- Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
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- 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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- Enhancing biomechanical simulations based on a posteriori error estimates: the potential of Dual Weighted Residual-driven adaptive mesh refinement
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- Huu Phuoc Bui, Michel Duprez, Pierre‐yves Rohan, Arnaud Lejeune, Stéphane Pierre Alain Bordas, Marek Bucki, Franz Chouly
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- 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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- FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions
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- Valentina Scarponi, Juan Verde, Nazim Haouchine, Michel Duprez, Florent Nageotte, Stéphane Cotin
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- 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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- A Zero-Shot Reinforcement Learning Strategy for Autonomous Guidewire Navigation
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- Valentina Scarponi, Michel Duprez, Florent Nageotte, Stéphane Cotin
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- 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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- Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment
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- Yves Dumont, Michel Duprez
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- 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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- phi-FEM for the heat equation: optimal convergence on unfitted meshes in space
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- Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
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- 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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- φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
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- Michel Duprez, Vanessa Lleras, Alexei Lozinski
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- 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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- Delayed closed-loop neurostimulation for the treatment of pathological brain rhythms in mental disorders: a computational study
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- Thomas Wahl, Joséphine Riedinger, Michel Duprez, Axel Hutt
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- 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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- A new $\phi$-FEM approach for problems with natural boundary conditions
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- Michel Duprez, Vanessa Lleras, Alexei Lozinski
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- 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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- Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
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- Michel Duprez, Manuel González-Burgos, Diego Souza
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- 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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- Optimal control strategies for the sterile mosquitoes technique
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- Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet
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- 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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- Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
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- Michel Duprez, Pierre Lissy
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- 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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- How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
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- Pierre-Alexandre Bliman, Michel Duprez
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- 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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- Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model
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- Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat, Nicolas Vauchelet
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- 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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- Optimization of spatial control strategies for population replacement, application to Wolbachia
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- Michel Duprez, Romane Hélie, Yannick Privat, Nicolas Vauchelet
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- 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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- Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study
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- Michel Duprez, Stéphane Pierre Alain Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar
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- 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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Conference papers
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- titre
- Autonomous Guidewire Navigation in Dynamic Environments
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- Valentina Scarponi, François Lecomte, Michel Duprez, Florent Nageotte, Stéphane Cotin
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- 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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- 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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- 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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Book sections
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- 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
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- 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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- titre
- Minimal cost-time strategies for mosquito population replacement
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- Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat
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- 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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Preprints, Working Papers, ...
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- titre
- Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
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- 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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- titre
- Enriching continuous Lagrange finite element approximation spaces using neural networks
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- Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac, Nicolas Victorion
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- 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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- 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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- 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 .....
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- titre
- Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
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- Michel Duprez, Vanessa Lleras, Alexei Lozinski, Vincent Vigon, Killian Vuillemot
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- 2024
- Resume_court
- In this paper, we propose a way to solve partial differential equations (PDEs) by combining machine .....
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