@Article{EAJAM-15-3,
author = {Wenming, He and Mingxiang, Deng and Yongping, Feng and Xiaofei, Guan},
title = {Local Ultraconvergence of Quadratic Rectangular Element},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {3},
pages = {650--668},
abstract = {<p style="text-align: justify;">A state of the art technology is employed to investigate the local ultraconvergence properties of a quadratic rectangular element for the Poisson equation. The
proposed method combine advantages of a novel interpolation postprocessing operator $\overline{P}^6_{6h,m} R^∗_h
,$ the Richardson extrapolation technique, and properties of a discrete Green’s
function. The local ultraconvergence of the post-processed gradient of the finite element solution is derived with the order $\mathcal{O}(h^6
|{\rm ln}h|^2).$ A numerical example shows a good
agreement with the theoretical findings.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2024-146.021224},
url = {https://global-sci.com/article/91940/local-ultraconvergence-of-quadratic-rectangular-element}
}