Prépublications

  • [A32] Residual-based a posteriori error estimates with boundary correction for φ-FEM R. Becker, R. Bulle, M. Duprez, V. Lleras, preprint (hal), codes.
  • [A31] Enriching continuous Lagrange finite element approximation spaces using neural networks H. Barucq, M. Duprez, F. Faucher, E. Franck, F. Lecourtier, V. Lleras, V. Michel-Dansac, N. Victorion, preprint (hal), codes.
  • [A30] φ-FD : A well-conditioned finite difference method inspired by φ-FEM for general geometries on elliptic PDEs M. Duprez, V. Lleras, A. Lozinski, V. Vigon and K. Vuillemot, preprint (hal), codes.
  • [A29] Sterile Insect Technique in a Two-Patch Model: Effects of Migration Rates on Optimal Control Strategies for Single-Patch Releases Y. Dumont, M. Duprez and Y.Privat. Soumis, preprint (hal), codes.
  • [A28] φ-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries M. Duprez, V. Lleras, A. Lozinski, V. Vigon and K. Vuillemot. Soumis, preprint (hal), codes.

Publications scientifiques

2025

Article

  • [A27] Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement H.-P. Bui, M. Duprez, P.-Y. Rohan, A. Lejeune, S.-P.-A. Bordas, M. Bucki, F. Chouly. Int J Numer Meth Biomed Engng, 41: e3897 (2025), preprint (hal), codes, pdf (revue)

2024

Articles

  • [A26] FBG-driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions. V. Scarponi, J. Verde, N. Haouchine, M. Duprez, F. Nageotte, S. Cotin. Healthcare Technology Letters, Volume 19, pages 1185–1192, (2024) : 1-8, preprint (hal), pdf (revue).
  • [A25] A Zero-Shot Reinforcement Learning Strategy for Autonomous Guidewire NavigationV. Scarponi, M. Duprez, F. Nageotte, S. Cotin. International Journal of Computer Assisted Radiology and Surgery, Volume 19, pages 1185–1192, (2024) : 1-8, preprint (hal), pdf (revue).
  • [A24] Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment Y. Dumont and M. Duprez. Journal of Biological Systems Vol. 32 (2024), preprint (hal), codes (github), pdf (revue)

Proceeding

  • [P5] FBG-Driven simulation for virtual augmentation of fluoroscopic images during endovascular interventions V. Scarponi, J. Vere, N. Haouchine, M. Duprez, F. Nageotte , S. Cotin. 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, preprint (hal).
  • [P4] Autonomous Guidewire Navigation in Dynamic Environments V. Scarponi, F. Lecomte , M. Duprez, F. Nageotte , S. Cotin. International Conference on Intelligent Robots and Systems, Abu Dhabi, United Arab Emirates, 2024 , preprint (hal).

2023

Articles

  • [A23] An Immersed Boundary Method by φ-FEM approach to solve the heat equation M. Duprez, V. Lleras, A. Lozinski and K. Vuillemot. Comptes Rendus. Mathématique, Volume 361 (2023) p. 1699-1710, preprint (hal), codes (github), pdf (revue)
  • [A22] Delayed closed-loop neurostimulation for the treatment of pathological brain rhythms in mental disorders. M. Duprez, A. Hutt and T. Wahl. Front. Neurosci. Sec. Neural Technology Vol. 17 (2023), preprint (hal), pdf (revue)
  • [A21] Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix M. Duprez, D. Souza and M. Gonzalez-Burgos. Discrete and Continuous Dynamical Systems, Series S, Vol. 16, No. 6, June 2023, pp. 1346-1382, preprint, pdf (revue).
  • [A20] φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations M. Duprez, V. Lleras and A. Lozinski. ESAIM: M2AN 57 (2023), 1111-1142, preprint (hal), pdf (revue), codes (github)
  • [A19] A new φ-FEM approach for problems with natural boundary conditions M. Duprez, V. Lleras and A. Lozinski. Numer. Methods Partial Differ. Eq. 39 (2023) n°1, 281-303., preprint (hal), pdf (revue), codes (github).

Chapitre de livre

  • [C1] φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer S. Cotin, M. Duprez, V. Lleras, A. Lozinski, K. Vuillemot. Partition of Unity Methods (Wiley Series in Computational Mechanics) 2023, preprint (hal), codes (github), pdf (revue).

2022

Articles

  • [A18] Optimal control strategies for the sterile mosquitoes technique L. Almeida, M. Duprez, Y. Privat and N. Vauchelet. J. Differential Equations 311 (2022), 229–266, preprint (hal), pdf (revue), codes (github).
  • [A17] Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control M. Duprez and P. Lissy. Annales de l’Institut Fourier, Tome 72 (2022) no. 4, pp. 1621-1659. , preprint (hal), pdf (revue).

2021

Articles

  • [A16] Optimization of spatial control strategies for population replacement, application to Wolbachia M. Duprez, R. Hélie, Y. Privat and N. Vauchelet. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 74, 30 pp. , preprint (hal), pdf (revue).
  • [A15] Optimal immunity control by social distancing for the SIR epidemic model P.-A. Bliman, M. Duprez, Y. Privat and N. Vauchelet. Journal of Optimization Theory and Applications 189, pages 408–436 (2021), preprint (hal), pdf (revue), codes (github).

2020

Articles

  • [A12] Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field M. Duprez, M. Morancey and F. Rossi. J. Differential Equations 269 (2020), no. 1, pp. 82-124, preprint (hal), pdf (revue), codes (github).
  • [A11] Control of the Grushin equation: non-rectangular control region and minimal time M. Duprez and A. Koenig. ESAIM: COCV, 26 (2020) 3 , preprint (hal), pdf (revue).
  • [A10] Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study M. Duprez, S. Bordas, M. Bucki, P. Bui, F. Chouly, V. Lleras, C. Lobos, A. Lozinski, P-Y Rohan and S. Tomar. Appl. Math. Model. 77 (2020), part 1, pp. 709-723, preprint (hal), pdf (revue), codes (github).

Proceeding

  • [P3] Minimal cost-time strategies for mosquito population replacement L. Almeida, J. Bellver Arnau, M. Duprez, and Y. Privat. Radon book series, 2020 , preprint (hal).

2019

Articles

  • [A9] Finite element method with local damage of the mesh M. Duprez, A. Lozinski and V. Lleras. ESAIM Math. Model. Numer. Anal. 53 (2019), no. 6, pp. 1871-1891, preprint (hal), pdf (revue), codes (github).
  • [A8] Mosquito population control strategies for fighting against arboviruses L. Almeida, M. Duprez, Y. Privat and N. Vauchelet. Math. Biosci. Eng. 16 (2019), no. 6, pp. 6274-6297, preprint (hal), pdf (revue), codes (github).
  • [A7] Approximate and exact controllability of the continuity equation with a localized vector field M. Duprez, M. Morancey and F. Rossi. SIAM J. Control Optim. 57 (2019), no. 2, pp. 1284-1311, preprint (hal), pdf (revue).

2018

Articles

  • [A6] Compact perturbations of controlled systems M. Duprez and G. Olive. Math. Control Relat. Fields 8 (2018), no. 2, pp. 397-410, preprint (hal), pdf (revue).
  • [A5] Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms M. Duprez and P. Lissy. J. Evol. Equ. 18 (2018), no. 2, pp. 659-680, preprint (hal), pdf (revue).

Proceeding

  • [P2] Minimal time problem for discrete crowd models with a localized vector field M. Duprez, M. Morancey and F. Rossi. 57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018 , preprint (hal).

2017

Articles

  • [A4] Criterion of positivity for semilinear problems with applications in biology M. Duprez and A. Perasso. Positivity 21 (2017), no. 4, pp. 1383-1392, preprint (hal), pdf (revue).
  • [A3] Controllability of a 2 X 2 parabolic system by one force with space-dependent coupling term of order one M. Duprez. ESAIM Control Optim. Calc. Var. 23 (2017), no. 4, pp. 1473-1498, preprint (hal), pdf (revue).

Proceeding

  • [P1] Controllability and optimal control of the transport equation with a localized vector field M. Duprez, F. Rossi and M. Morancey. 25th Mediterranean Conference on Control and Automation (MED), Malta, July 3-6, 2017, preprint (hal).

2016

Articles

  • [A2] Indirect controllability of some linear parabolic systems of m equations with m – 1 controls involving coupling terms of zero or first order M. Duprez and P. Lissy. J. Math. Pures Appl. (9) 106 (2016), no. 5, pp. 905-934, preprint (hal), pdf (revue).
  • [A1] Partial null controllability of parabolic linear systems F. Ammar-Khodja, F. Chouly and M. Duprez. Math. Control Relat. Fields 6 (2016), no. 2, pp. 185-216, préprint (hal), pdf (revue), codes (github).

2015

Poster

  • [Pos] Indirect controllability of some linear parabolic systems of two equations with one control involving coupling terms of first order. Conférence : « Contrôlabilité des EDP et applications », 9-13 nov. 2015, CIRM, Marseille, pdf.

Thèse de doctorat (26 nov. 2015)

Contrôlabilité de quelques systèmes gouvernés par des équations paraboliques
Manuscrit : pdf
Exposé de soutenance : pdf

Mémoires de master

2011

Master histoire des sciences
« Les Sphériques de Ménélaüs »
Manuscrit : pdf

2012

Master mathématiques approfondies, spécialité edp
« Contrôlabilité approchée, optimisation et convergence numérique des équations de diffusions linéaires »
Manuscript : pdf