Optimal error estimates for semi-implicit DG time discretization of convection-diffusion problems

Abstract

We focus ourselves on semilinear convection-diffusion equation discretized by SIPG in space. The resulting ODEs are discretized by discontinuous Galerkin finite element method.

We present an improvement of a priori error estimates with a sketch of proof.

Keywords

• a priori error estimates
• semi-implicit time discretization
• convection-diffusion problems