Zurück zu den Preprints des Jahres 2010


2010-24

Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems

by Ahmed, N., Matthies, G., Tobiska, L., Xie, H..


Series: 2010-24, Preprints

MSC:
65M12 Stability and convergence of numerical methods
65M15 Error bounds
65M60 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods

Abstract:
A time-dependent convection-diffusion-reactions problems is discretized in space by a continuous finite element method with local projection stabilization and in time by a discontinuous Galerkin method. We present error estimates for the semidiscrete problem after discretizing in space
only and for the fully discrete problem. Numerical tests confirm the theoretical results.

Keywords:
discontinuous Galerkin, stabilized finite elements, convection-diffusion-reaction equation