Mathematical modelling, functional and numerical methods
The team is working on the following topics:
- Asymptotic methods and applications
- Homogenization theory
- Microperiodic structure optimization
- Variational methods for coupling problems, fluid-structure interaction and coupled Navier-Stokes - Darcy flows
- PDEs in Fluid Mechanics
- Nonlinear Water Waves
- Fluid Stability Problems
- Geophysical Fluid Dynamics
- Dislocation in Hele-Shaw cells or in porous media
- Non-Newtonian fluids
- Heat and mass transfer in porous media
- Diffusion and convection
- Geometric evolution problems (brittle fracture, image segmentation)
- Bipotentials theory with applications (friction, damage, non-associated laws)
- Hamiltonian mechanics and dissipation
- Quasiconvexity and non-linear elasticity
- Differential calculus in metric spaces (sub-riemannian geometry, dilation structures)
- Optimization problems
- Domain decomposition methods
- Multigrid methods for variational inequalities and saddle point problems
- Multigrid methods associated with explicit Moreau-Yosida regularizations
- Embedding domain methods and optimal control problems
- Numerical methods for nonlinear mechanical problems and financial derivatives
There are two scientific seminars, an internal seminar and a joint one with the Faculty of Mathematics and Computer Science, University of Bucharest