Optimal error estimates for nonstationary singularly perturbed problems for low discretization orders

• ID: 2633, RIV: 10129209
• ISSN: 1803-9782, ISBN: neuvedeno
• zdroj: ACC Journal
• klíčová slova: singularly perturbed problems; convection-diffusion; discontinuous Galerkin method
• autoři: Miloslav Vlasák, Hans-Göerg Roos
• autoři z KNM: nepřiřazeno

Abstrakt

Nonstationary 1D singularly perturbed convection-diffusion equation is discretized in space by the finite element method on a 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.