Nonlinear stabilization for Euler equations
This project is about viscous regularizations of the compressible Euler equations. The finite element discretization is stabilized using artificial viscosity operators.
Invariant domain preserving schemes
The aim of the project is to construct positivity, maximum principle, and invariant domain preserving continuous finite element methods for nonlinear conservation laws.
The incompressible Navier-Stokes equations are solved using continuous finite element approximation.