Gradient Schemes for the Stokes Problem

In numerical analysis, there exist a lot of methods of approximation, each one with its advantages and drawbacks. The idea behind the Gradient Schemes is to set a general framework which emcompass the different methods. This implies to check some properties of the framework and to study a problem in a general way. In this talk, we will study the Stokes problem with the Gradient Schemes and we will prove the convergence of our disretisation to the problem. We will deal with the stationnary state but also the transient case