Journal articles
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- titre
- Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment
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- Yves Dumont, Michel Duprez
- article
- Journal of Biological Systems, 2024, ⟨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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- titre
- A Zero-Shot Reinforcement Learning Strategy for Autonomous Guidewire Navigation
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- Valentina Scarponi, Michel Duprez, Florent Nageotte, Stéphane Cotin
- article
- International Journal of Computer Assisted Radiology and Surgery, In press
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- Purpose: The treatment of cardiovascular diseases requires complex and challenging navigation of a g .....
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- titre
- 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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- 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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- 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, ⟨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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- titre
- 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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- 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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- 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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- titre
- Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
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- 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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- titre
- How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
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- 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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- titre
- 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
- 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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- titre
- 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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Conference papers
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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
- 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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Preprints, Working Papers, ...
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- titre
- φ-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
- Resume_court
- In this paper, we propose a way to solve partial differential equations (PDEs) by combining machine .....
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- 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
- 2023
- Resume_court
- The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions .....
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