Ludovic Martaud

centre Inria de l'université de Rennes
Université de Rennes - Campus Beaulieu
35700 Rennes
Contact : ludovic.martaud@inria.fr

Welcome to the Web Page of Ludovic Martaud

picture done by Jeremy Simonnet I am graduated from Ecole Centrale Paris and University of Nantes. I done my PhD Thesis under the supervision of Christophe Berthon and Mehdi Badsi at the Laboratoire de Mathématiques Jean Leray at Nantes. My thesis was funded by a contract doctoral handicap. I am currently postdoctoral researcher at Inria of Rennes university.
  • The full text of my PhD Thesis is available here.
  • My curriculum vitae (french version) can be downloaded here.

Research interest

My fields of research are systems of conservation laws and their numerical approximations. In particular,

  • High order finite volume schemes
  • Discrete entropy inequalities
  • Well-balanced schemes

Second-order approximation of the compressible Euler equations.

Publications

    Articles:
  • L.Martaud. Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes, Journal of Computational Physics, 487 :112176, 2023 (link).
  • M.Badsi, C.Berthon L.Martaud. A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws, SMAI Journal of Computational Mathematics, 2022. (link) .
  • R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud. A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. Commun. Comput. Phys. 31(1), 293-330 (2022). (link)
    Proceedings:
  • L. Martaud and C. Berthon. Entropy stable Godunov numerical schemes for the Euler equations. Harmonic Analysis and Partial Differential Equations - Proceedings of the Workshop in Abidjan, Côte d'Ivoire, May 22-26, 2023, pulished in the book series Applied and Numerical Harmonic Analysis (to appear, preprint).
  • L. Martaud and C. Berthon. The existence of well-balanced entropy stable numerical scheme for the Ripa model with the topography source term. XXVII Congreso de Ecuaciones Diferenciales y XVII Congreso de Matemática Aplicada, pages pp 89–96, July 2022 (link).
    In preparation:
  • L. Martaud and C. Berthon. Fully well-balanced entropy stable Godunov numerical schemes for the Shallow Water equations with the topography source term. 2023 (preprint).