Research

Research interests and keywords
  • Numerical analysis and scientific computing.
  • Domain decomposition methods for systems of PDEs, design of multi-domain parallel algorithms.
  • High order approximation methods (Discontinuous Galerkin methods) and solution methods for electromagnetism, building efficient numerical simulation tools. 
  • Inverse problems, microwave imaging.
Projects and grants (*** = current grants)
PhD supervision
  • Co-supervision of the PhD theses of Marcella Bonazzoli  (LJAD) and Ibtissam El Kanfoud (LEAT), from Sept 2014, financed by ANR MEDIMAX, University Côte d'Azur.
  • Supervision of the PhD thesis of Romain Brunet, starting from December 2014, "Approximation and solution methods for problems arising from geoseismics", University of Strathclyde.
  • Supervision of the PhD thesis of Michal Bosy, starting from January 2014, Robust numerical methods and solvers for Stokes and Oseen equations, University of Strathclyde. 
  • Co-supervision of the PhD thesis of Erwin Veneros, starting from February 2011 (with Martin J. Gander, University of Geneva), Domain decomposition methods for heterogeneous harmonic problems.
  • Co-supervision of the PhD thesis of Nicole Spillane, (Sept. 2010- Dec. 2013) (with Frédéric Nataf, University Paris VI and Patrice Hauret, Michelin), on Innovative solvers for non-linear elastodynamics, financed by Michelin tire company.
  • Co-supervision of the PhD thesis of Mohamed El Bouajaji (Sept. 2008-Dec. 2011), (with Stéphane Lanteri, INRIA Sophia-Antipolis), on Optimized Schwarz Methods for the solution of time-harmonic Maxwell’s equations discretized by Discontinuous Galerkin methods.
  • Co-supervision of the PhD thesis of Adrien Catella (with Stéphane Lanteri, INRIA), (Oct. 2005 - Sept. 2008), on High Order Discontinuous Galerkin Methods on unstructures meshes, for the solution of time-domain Maxwell’s equations- Time integration schemes and iterative methods, financed by CEA CESTA.
  • Co-supervision of the PhD thesis of Hugo Fol (with Stéphane Lanteri, INRIA) on High Order Discontinuous Galerkin Methods on unstructures meshes for the solution of time-harmonic Maxwell’s equations