Publications

Prépublications

• [23] Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment
  Y. Dumont and M. Duprez.
  Soumis, preprint.
• [22] An Immersed Boundary Method by ϕ-FEM approach to solve the heat equation
  M. Duprez, V. Lleras, A. Lozinski and K. Vuillemot.
  Soumis, preprint.
• [21] Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
  M. Duprez, D. Souza and M. Gonzalez-Burgos.
  Accepté dans DCDS, preprint.
• [20] φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
  M. Duprez, V. Lleras and A. Lozinski.
  Accepté dans M2AN, preprint.

Publiés

2023

• [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).

2022

• [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

• [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).
• [A14] How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
  P.-A. Bliman and M. Duprez.
  Journal of Theoretical Biology 511 (2021), preprint (hal), pdf (revue), codes (github).

2020

• [A13] phi-FEM: a finite element method on domains defined by level-sets
  M. Duprez and A. Lozinski.
  SIAM J. Numer. Anal. 58 (2020), no. 2, pp. 1008-1028, preprint (hal), pdf (revue), codes (github).
• [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).

2019

• [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

• [A6] 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).

2017

• [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).

2016

• [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).

Chapitre de livre

• [C1] Phi-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), preprint (hal), codes (github), pdf (revue).

Proceedings

• [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).
• [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).
• [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).

Poster

Thèse de doctorat (26 nov. 2015)

Mémoire de master