@Article{NMTMA-16-1,
author = {Ye, Xiu and Zhang, Shangyou},
title = {Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2023},
volume = {16},
number = {1},
pages = {230--241},
abstract = {<p style="text-align: justify;">In this paper, we introduce a stabilizer free weak Galerkin (SFWG) finite
element method for second order elliptic problems on rectangular meshes. With
a special weak Gradient space, an order two superconvergence for the SFWG finite
element solution is obtained, in both $L^2$ and $H^1$ norms. A local post-process lifts
such a $P_k$ weak Galerkin solution to an optimal order $P_{k+2}$ solution. The numerical
results confirm the theory.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2022-0082},
url = {https://global-sci.com/article/90205/constructing-order-two-superconvergent-wg-finite-elements-on-rectangular-meshes}
}