Tiphaine Delaunay

Hi!

I am Tiphaine, a French post-doctorate in the field of applied mathematics.

I am currently working at LAGA on the reconstruction of the Lamé Parameters of Elastic Waves in an inclusion with Stéphanie Chaillat, Marion Darbas and Jérémy Heleine.

During my first post-doctorate, I studied mathematical modeling and data assimilation of tumor response to propranolol in angiosarcomas with Annabelle Collin, Christèle Etchegaray and François Moisan in the joint Inria-IMB project team MONC.

Previously, I did my PhD on observers for the wave equation under the supervision of Philippe Moireau and Sébastien Imperiale. For this project, I worked within the joint Inria-Ecole Polytechnique team MΞDISIM. and was funded by the ANR ODISSE.

Use this website to see my latest publications, my CV and my mathematical interests!

Selected publications

Journal

Mathematical analysis of an observer for solving inverse source wave problem

Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

Inverse problem and imaging, 2025

Bib PDF

@article{delaunay2025mathematical,
  title = {Mathematical analysis of an observer for solving inverse source wave problem},
  author = {Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
  year = {2025},
  journal = {Inverse problem and imaging},
  doi = {10.3934/ipi.2025043},
}

Journal

Solving inverse source wave problem -from carleman estimates to observer design

Muriel Boulakia, Maya de Buhan, Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

Mathematical Control and Related Fields, 2025

Bib PDF

@article{delaunay2025solving,
  title = {Solving inverse source wave problem -from carleman estimates to observer design},
  author = {Boulakia, Muriel and {de Buhan}, Maya and Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
  year = {2025},
  journal = {Mathematical Control and Related Fields},
  doi = {10.3934/mcrf.2025007},
}

Journal

Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation

Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

Numerische Mathematik, 2024

Bib PDF

@article{delaunay2024uniform,
  title = {Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation},
  author = {Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
  year = {2024},
  journal = {Numerische Mathematik},
  doi = {10.1007/s00211-024-01440-9},
}