Finite element approximations of the Vlasov-Poisson equation
Brief summary: In this project, we will implement a solver in the FEniCS project, where we will approximate solutions to the Vlasov-Poisson equation using continuous finite elements. Since the problem is dominated by convection, we need to stabilize the method. To this end, we augment the finite element method with the so-called Galerkin-Least-Squares (GLS) stabilization method. We then test our implementation by solving a number of test problems.