@Article{NMTMA-7-356, author = {}, title = {Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {3}, pages = {356--373}, abstract = {

In this paper we present a first supercloseness analysis for higher-order Galerkin FEM applied to a singularly perturbed convection-diffusion problem. Using a solution decomposition and a special representation of our finite element space, we are able to prove a supercloseness property of $p + 1/4$ in the energy norm where the polynomial order $p ≥ 3$ is odd.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1320nm}, url = {http://global-sci.org/intro/article_detail/nmtma/5879.html} }