@Article{EAJAM-10-1,
author = {Wei, Pi and Wang, Hao and Xie, Xiaoping},
title = {A New Post-Processing Technique for Finite Element Methods with $L^2$-Superconvergence},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {1},
pages = {40--56},
abstract = {<p style="text-align: justify;">A simple post-processing technique for finite element methods with $L$<sup>2</sup>-superconvergence is proposed. It provides more accurate approximations for solutions of two- and three-dimensional systems of partial differential equations. Approximate solutions can be constructed locally by using finite element approximations $u$<sub>$h$</sub> provided that <span style="text-align: justify;">$u$</span><sub style="text-align: justify; white-space: normal;">$h$</sub> is superconvergent for a locally defined projection $\widetilde{P}$<sub>$h$</sub>$u$. The construction is based on the least-squares fitting algorithm and local $L$<sup>2</sup>-projections. Error estimates are derived and numerical examples illustrate the effectiveness of this approach for finite element methods.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.170119.200519},
url = {https://global-sci.com/article/82543/a-new-post-processing-technique-for-finite-element-methods-with-l2-superconvergence}
}