Numerical methods and complex fluids
The “Numerical methods and complex fluids” team has three main lines of research:
- Numerical methods and mathematical modeling for PDE
- Modeling of physical phenomena
- Development of computing codes
Numerical methods and mathematical modeling for PDE
- Mixed, nonconforming and stabilized finite element methods
- Nitsche's, NXFEM and discontinuous Galerkin methods
- Finite volume methods
- Particle and hybrid grid-particle methods
- Shape optimization and consideration of uncertainties
- Stochastic optimization
- Approximation and optimal gridding
- Scientific computing and High-Performance Computing (HPC)
Modeling of physical phenomena
- Mechanics of Newtonian and non-Newtonian fluids
- Multiphase and reactive flow
- Oil & gas engineering
- Microfluidics in porous media
- The environment and CO2 storage
- Safety and storage of nuclear waste
- Mathematics for medicine and biomechanics
Development of computing codes
- Contribution to the Salome2 platform, Homogenizer++.