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I am assistant professor at the CEREMADE of the ParisDauphine university.

Research 
Research interests in a few keywords: modeling, aeroacoustics, electromagnetism, fluidstructure interaction, ab initio relativistic quantum chemistry, chiral material, Arbitrary Lagrangian Eulerian, perfectly matched layers, controllability, partial differential equations, finite element methods, numerical analysis, scientific computing.

Brief summary: During my Ph.D. thesis, I worked, under the supervision of AnneSophie BonnetBen Dhia, on aeroacoustics problems. More precisely, I dealt with the numerical resolution of the socalled Galbrun equation in the timeharmonic domain and using a finite element method. In the context of linear acoustics theory, this vectorial equation, established through a mixed EulerianLagrangian reformulation of the linearized fluid mechanics equations, models the wave propagation in an inhomogeneous moving compressible inviscid fluid in adiabatic evolution and uses the Lagrangian displacement vector as dependent variable.
I was also interested in absorbing boundary conditions in aeroacoustics, notably the application of the Perfectly Matched Layers, introduced by J.P. Bérenger, in the timeharmonic domain (work in collaboration with Éliane Bécache).
More recently, I worked with Patrick Ciarlet, Serge Nicaise and Thierry Horsin on the existence of solutions to Maxwell's equations in a chiral medium, with an application to exact boundary controllability.
During my postdoctoral stay at the Centro de Modelamiento Matemático (UMI 2807 CNRSUniversidad de Chile, Santiago, Chile) and in collaboration with Takéo Takahashi, I studied fluidstructure interaction problems and, more particularly, the convergence of a numerical method based on a finite element discretisation, combined with the method of characteristics, of an Arbitrary Lagrangian Eulerian (ALE) formulation of a viscous fluid/rigid body interaction problem. The major difficulties in such an analysis arise from the coupling between the equations of the fluid and those of the structure and from the free boundary of the domain.
I also work, notably with Mathieu Lewin and Éric Séré, on the development of mathematically sound computational methods in relativistic quantum chemistry, which takes into account the fine effects encountered by the core electrons in heavy atoms. I am more particularly interested in the implementation and study of the behavior (convergence, discretization issues...) of new algorithms based on previous works from members of the project ACCQUAREL, for models of the DiracHartreeFock type. These models lead to difficult issues due to the lack of lower bound on the (continuous) spectrum of the Dirac operator. In particular, the considered energies are not bounded from below, a property which forbids to use the usual methods devoted to the nonrelativistic case.


Publications and preprints 
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A copy of these papers can be requested directly to me by email.
My Ph.D. thesis: Rayonnement acoustique dans un fluide en écoulement : analyse mathématique et numérique de l'équation de Galbrun, (in french, 172 pages, 4.81 Mb), defended on september 29, 2003.


Curriculum vitæ 
A short version of my curriculum vitæ is available here (Adobe Acrobat Reader required).


