| Abstract |
In this talk, I will considers the numerical solution of time-dependent linear convection-diffusion-reaction equations. Here, the combinations of streamline-upwind Petrov--Galerkin (SUPG) and local projection stabilization (LPS) methods in space with the higher order variational time discretization schemes will be considered in detail. In particular, I will discuss the time discretizations by discontinuous Galerkin (dG) methods and continuous Galerkin--Petrov (cGP) methods.Optimal a-priori error estimates will be proved. Numerical studies support the theoretical results. Furthermore, a numerical comparison between continuous Galerkin-Petrov and discontinuous Galerkin time discretization schemes will be given.
|
