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

• ID: 2604, RIV: 10103828
• ISSN: neuvedeno, ISBN: 978-0-7354-0956-9
• zdroj: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2011
• klíčová slova: a priori error estimates; semi-implicit time discretization; convection-diffusion problems
• autoři: Miloslav Vlasák
• autoři z KNM: nepřiřazeno

Abstrakt

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.