Journal articles
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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, Elsevier, 2022, 311, ⟨10.1016/j.jde.2021.12.002⟩
- Resume_court
- Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigu .....
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- 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, Wiley, In press, ⟨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
- How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
- auteur
- Pierre-Alexandre Bliman, Michel Duprez
- article
- Journal of Theoretical Biology, Elsevier, 2021, 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
- 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, Association des Annales de l'Institut Fourier, In press
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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
- 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, Springer Verlag, 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
- auteur
- Michel Duprez, Romane Hélie, Yannick Privat, Nicolas Vauchelet
- article
- ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 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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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
- article
- Partition of Unity Methods (Wiley Series in Computational Mechanics) 1st Edition, Wiley, 2022, 978-0470667088
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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
- Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
- auteur
- Michel Duprez, Manuel González-Burgos, Souza Diego A.
- article
- 2022
- Resume_court
- The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion .....
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- titre
- An Immersed Boundary Method by Phi-FEM approach to solve the heat equation
- auteur
- Michel Duprez, Vanessa Lleras, Alexei Lozinski, Killian Vuillemot
- article
- 2022
- Resume_court
- 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
- 2022
- Resume_court
- We present an immersed boundary method to simulate the creeping motion of a solid in a fluid thanks .....
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