@inproceedings{51d8e843cca6477693f5eda71038b3d4,
title = "Superconvergence of linear functionals by discontinuous Galerkin approximations",
abstract = "We present a method for obtaining superconvergent approximations of linear functionals. We present an illustration of this idea in the framework of convection-diffusion equations. We use the approximation given by the discontinuous Galerkin method with polynomials of degree k. Instead of the classical order of convergence of 2k, we prove that we can obtain an approximation of order 4k. Numerical results that confirm this theoretical finding are presented.",
keywords = "Convection-diffusion equation, Discontinuous Galerkin methods, Finite element methods, Functionals, Post-processing, Superconvergence",
author = "Bernardo Cockburn and Drew Ichikawa",
year = "2005",
language = "English (US)",
isbn = "0080444814",
series = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",
pages = "1087--1089",
booktitle = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",
note = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics ; Conference date: 14-06-2005 Through 17-06-2005",
}