@Article{IJNAM-8-391,
author = {F. Celiker, L. Fan and Z. Zhang},
title = {Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Naghdi Arches},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {3},
pages = {391--409},
abstract = {<p style="text-align: justify;">In this paper, we consider discontinuous Galerkin approximations to the solution of
Naghdi arches and show how to post-process them in an element-by-element fashion to obtain a
far better approximation. Indeed, we prove that, if polynomials of degree $k$ are used, the post-processed
approximation converges with order $2k+1$ in the $L^2$-norm throughout the domain. This
has to be contrasted with the fact that before post-processing, the approximation converges with
order $k + 1$ only. Moreover, we show that this superconvergence property does not deteriorate as
the thickness of the arch becomes extremely small. Numerical experiments verifying the above-mentioned
theoretical results are displayed.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/692.html}
}