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

• ID: 2609, RIV: 10128140
• ISSN: neuvedeno, ISBN: neuvedeno
• zdroj: neuvedeno
• klíčová slova: convection-diffusion; Shishkin mesh; time discontinuous Galerkin method
• autoři: Miloslav Vlasák, Hans-Goerg Roos
• autoři z KNM: nepřiřazeno

Abstrakt

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.