Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems
Numerical Analysis
2013-07-30 v1
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 order p+1/4 in the energy norm where the polynomial order p>=3 is odd.
Keywords
Cite
@article{arxiv.1307.7543,
title = {Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems},
author = {S. Franz and H. -G. Roos},
journal= {arXiv preprint arXiv:1307.7543},
year = {2013}
}