Bochra Mejri


Welcome to my web page !

I am currently a postdoctoral researcher at the Laboratoire Jean-Alexandre Dieudonné (LJAD, Nice, France) under the supervision of Olivier Pantz. I am also a member of the DEFIDEF project and of the ANR research project FAULTS R GEMS. We are working on the determination of the elastic properties around seismic faults integrating defaults.

Formerly, I was an assistant professor at the National School of Science and Advanced Technology (ENSTAB, Borj Cedria, Tunisia).

Before, I was a Ph.D. student at the Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur (LAMSIN, Tunis, Tunisia) under the joint supervision of Amel Ben Abda and Cédric Bellis from the Laboratoire de Mécanique et d'Acoustique (LMA, Marseille, France). I worked on the theoretical and numerical aspects of inverse problems for the detection of geometric defects in linear elasticity (Ph.D thesis, slides).

Research

  • Inverse problems
  • Shape optimization
  • Asymptotic analysis
  • Control
  • Carleman estimates
  • Stochastic homogenization

Publications

International journals
  1. B. Mejri
    2. Carleman estimate for a 1D linear elastic problem involving interfaces. Application to an inverse problem.
    Math. Meth. Appl. Sci., under revision, 2020 (pdf)
  2. A. Ben Abda, B. Mejri
    3. Topological sensitivity analysis for identification of voids under Navier's boundary conditions in linear elasticity
    Inverse Problems, Volume 35, Number 10, 2019 (pdf)
  3. B. Mejri
    4. Shape sensitivity analysis for identification of voids under Navier's boundary conditions in linear elasticity
    J. Inverse Ill-Posed Probl., Volume 27, Number 3, 2019 (pdf)
  4. A. Ben Abda, E. Jaiem, S. Khalfallah, B. Mejri
    5. Voids identification from partially over-specified boundary data
    New Trends Math. Sci., Volume 6, Number 4, 2018 (pdf)

Research reports and publications under review
  1. F. Chouly, J. Loubani, A. Lozinski, B. Mejri, K. Merito, S. Passos, A. Pineda
    2. Computing bi-tangents for transmission belts
    hal-02429962, 2020 (pdf)

Publications ongoing
  1. B. Mejri, O. Pantz, I. Manighetti, F. Leclerc, T. Giampietro, A. Mercier, L. Mattéo
    2. Rock mass properties by the homogenization method
  2. C. Bellis, B. Mejri
    3. Identification of elastic interface stiffnesses from boundary measurements
  3. S. Amdouni, A. Ben Abda, N. Benmeghnia, B. Mejri
    4. Cavities identification in linear elasticity
  4. A. Ben Abda, E. Jaiem, B. Mejri
    5. Constitutive law misfit functionnal: A guided tour

Oral contributions

Conference talks
  • 10th International Conference "Inverse Problems: Modeling and Simulation" (IPMS 2021), Malta, May 16-22, 2021
  • Workshop "optimisation et contrôle", Dijon, France, September 9-11, 2020
  • Conference of the Euro-Maghreb International Research Network in Mathematics and Applications (EMIRNMA 2019), Madrid, Spain, November 18-22, 2019
  • 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), Valencia, Spain, July 15-19, 2019
  • Inverse Problems, Control and Shape Optimization (PICOF 2018), Beyrouth, Liban, June 18-20, 2018
  • International Conference on Advances in Applied Mathematics (ICAAM 2016), Monastir, Tunisia, December 19-22, 2016
  • International Conference of the Euro-Maghreb Laboratory of Mathematics and their Interactions (LEM2I 2016), Hammamet, Tunisia, April 27, May 1, 2016

Other talks
  • Séminaire Mathématiques et leurs Applications de Pau, Pau, May 14th, 2020, postponed
  • Séminaire Calcul Scientifique et Modélisation, Bordeaux, March, 26th, 2020, postponed
  • SERENA working group, INRIA Paris, March 16th, 2020, postponed
  • DeFI working group, INRIA Saclay, February, 10th, 2020
  • Séminaire Equations aux Dérivées Partielles et Applications, Nancy, January, 14th, 2020
  • Séminaire de l'équipe EDP Analyse Numérique, Nice, September, 5th, 2019
  • Contrôle et Problèmes Inverses, Marseille, March, 29th, 2017

Responsibilities

Teaching

2018-2020 : University Côte d'Azur (UCA, Nice, France)
  • TD, Compléments Mathématiques 2 (40h)
  • TD, Méthodes Mathématiques 1 (40h)
  • TD, Méthodes Mathématiques 2 (40h)

2017-2018 : National School of Science and Advanced Technology (ENSTAB, Borj Cedria, Tunisia)
  • TD & TP, Calcul scientifique et Modélisation (98h)
  • TD & TP, Analyse numérique et Optimisation (98h)

Contact