@Article{IJNAM-19-6,
author = {Ahmed, AL-Taweel and Saqib, Hussain and Xiaoshen, Wang},
title = {Analysis of Weak Galerkin Finite Element Methods with Supercloseness },
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {6},
pages = {761--776},
abstract = {<p style="text-align: justify;">In [15], the computational performance of various weak Galerkin finite element methods in terms of stability, convergence, and supercloseness is explored and numerical results are listed in 31 tables. Some of the phenomena can be explained by the existing theoretical results and the others are to be explained. The main purpose of this paper is to provide a unified theoretical foundation to a class of WG schemes, where $(P_k(T), P_{k+1}(e), [P_{k+1}(T)]^2)$ elements are used for solving the second order elliptic equations (1)-(2) on a triangle grid in 2D. With this unified treatment, all of the existing results become special cases. The theoretical conclusions are corroborated by a number of numerical examples.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-21032},
url = {https://global-sci.com/article/82958/analysis-of-weak-galerkin-finite-element-methods-with-supercloseness}
}