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