Themes of research

• Scientific computing : parallel algorithms and applications to fluid mechanics and porous media.
• Numerical analysis : finite elements, finite volumes, non conforming methods.
• Hamilton Jacobi equations: numerical methods, homogenization
• Partial differential equations with degenerate operators. Applications in finance.
• Homogenization for wall laws. Applications in fluid mechanics, electromagnetism.
• PDEs in domains with fractal boundaries.
• Computational finance : option pricing and calibration.
• Mean field games.