Optimal Error Estimates for Nonstationary Singularly Perturbed Problems for Low Discretization Orders

• ID: 2609, RIV: 10128140
• ISSN: not specified, ISBN: not specified
• source: not specified
• keywords: convection-diffusion; Shishkin mesh; time discontinuous Galerkin method
• authors: Miloslav Vlasák, Hans-Goerg Roos
• authors from KNM: not assigned

Abstract

Nonstationary 1D singularly perturbed convection-diffusion equation is discretized in space by the finite element method on Shishkin mesh and by time discontinuous Galerkin method. The resulting scheme is analyzed and diffusion-uniform error estimates are derived. The key results are restricted to lower order space and time discretizations only.