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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
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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
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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, ⟨10.3389/fnins.2023.1183670⟩
Article dans une revue hal-04037276v4
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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 Bordas , et al.
2023
Pré-publication, Document de travail hal-04208610v2
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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
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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
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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, ⟨10.1142/S0218339024500128⟩
Article dans une revue hal-03811327v3
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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
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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
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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 Chouly , et al.
Applied Mathematical Modelling, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩
Article dans une revue hal-01616322v3
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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
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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
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φ-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
2024
Pré-publication, Document de travail hal-04473794v1
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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
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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
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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
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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, In press
Article dans une revue hal-04488626v1
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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
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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
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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
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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
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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
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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
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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
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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