TY - JOUR
T1 - An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem
AU - Vlasak , M.
AU - Roos , H.-G.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 24
EP - 33
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/512.html
KW - discontinuous Galerkin, convection-diffusion, layer adapted mesh, error estimate.
AB - <p style="text-align: justify;">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.</p>