10-24

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

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

Preprint series: 10-24 , 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

Upload: 2010-11-05

 


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