Superconvergence of both the Crouzeix-Raviart and Morley elements
Numerical Analysis
2014-08-07 v1
Abstract
In this paper, a new method is proposed to prove the superconvergence of both the Crouzeix-Raviart and Morley elements. The main idea is to fully employ equivalences with the first order Raviart-Thomas element and the first order Hellan-Herrmann-Johnson element, respectively. In this way, some special conformity of discrete stresses is explored and superconvergence of mixed elements can be used to analyze superconvergence of nonconforming elements. Finally, a half order superconvergence by postprocessing is proved for both nonconforming elements.
Keywords
Cite
@article{arxiv.1408.1286,
title = {Superconvergence of both the Crouzeix-Raviart and Morley elements},
author = {Jun Hu and Rui Ma},
journal= {arXiv preprint arXiv:1408.1286},
year = {2014}
}
Comments
16 pages, 6 figures