Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
Preprint series: 10-24 , Preprints
- 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
The author(s) agree, that this abstract may be stored as full text and distributed as such by abstracting services.