• Functional analysis, partial differential equations

    semilinear elliptic equations, inverse problems, optimal control, shape optimization, homogenization, integral equations, optimal transport

  • Numerical analysis, scientific computing

    high-performance computing, domain decomposition, parallel computing, automatic differentiation, coupling methods, adaptive mesh refinement, particle and vortex methods, fluid-structure coupling, immersed boundary methods, level-set, numerical optimization


  • Biological modeling

    viscoplasticity, phospholipidic vesicles, myocardium modeling

  • Fluid mechanics

    fluid control, free surface flows, microfluidics, wetting

  • Physical modeling

    thin structures modeling, shape instability, crystal genesis, classical and quantum optics, micro-magnetism, nano-physics