Analysis of semi-implicit Runge-Kutta-DGFEM for a semilinear convection-diffusion equation

• ID: 2518, RIV: 10057443
• ISSN: not specified, ISBN: 978-0-7354-0831-9
• source: International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2010
• keywords: a priori error estimates; discontinuous Galerkin finite element method; Runge-Kutta method; semi-implicit scheme
• authors: Vít Dolejší, Miloslav Vlasák, Zuzana Vlasáková
• authors from KNM: Dolejší Vít

Abstract

We deal with the numerical solution of the semilinear convection-diffusion equation. The space discretization is carried out by discontinuous Galerkin finite element method and for the time discretization we employ suitable combination of implicit and explicit Runge-Kutta method. The resulting scheme is robust and very effective.