Research areas

• Scientific computing.
• Mathematical modeling of physical systems.

About my research

I am an applied mathematician interested in the modelling of complex systems. During my thesis, I have worked on superconductors and developped efficient codes both in 2D and 3D. The model consists of two coupled partial differential equations: a Schrödinger type equation describing the density of superconducting electrons and the Maxwell-Ampere equation describing the magnetic induction field.

Other interests

• Machine learning.
• Modelling of medical or biological problems. Modelling of Earth.

Skills

Programming languages

• Advanced expertise with the Freefem software.
• Fluent with Matlab, Fortran.
• Good experience with Python.
• Basics in R, C/C++, MPI/OpenMP.

Numerical methods

• Finite element methods (Lagrange, Raviart-Thomas, Nedelec), finite difference.
• Finite and boundary elements coupling (FEM-BEM).
• Optimization (descent gradient methods especially Sobolev gradients).