The scientific topics of the team “Modeling, Analysis and Simulation” focus on the mathematical study, numerical analysis and simulation of equations from physics and mechanics. Application domains include
- Molecular and multiscale simulation with in particular the coupling between models at the microscopic scale (quantum and statistical physics) and models at the macroscopic scale. A broad range of mathematical tools are used: analysis of partial differential equations, spectral analysis, stochastic processes, variational methods, etc.
- Fluid and solid mechanics for which mathematical models and numerical methods at a more macroscopic scale are developed. The research efforts are for instance directed towards finite element methods, discontinuous Galerkin techniques, high order hybrid methods and a posteriori error estimates.
- PDEs and materials, with in particular the study of dislocation dynamics and free surface problems.