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: Vlasák Miloslav
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.