AN OPTIMAL UNIFORM A PRIORI ERROR ESTIMATE FOR AN UNSTEADY SINGULARLY PERTURBED PROBLEM

• ID: 2669, RIV: 10284288
• ISSN: 1705-5105, ISBN: not specified
• source: International Journal of Numerical Analysis and Modeling
• keywords: discontinuous Galerkin; convection diffusion; layer adapted mesh; error estimate
• authors: Miloslav Vlasák, Hans-Goerg Roos
• authors from KNM: not assigned

Abstract

A time dependent convection diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.