@Article{NMTMA-12-923,
author = {Hui Peng, Xiuli Wang, Qilong Zhai and Ran Zhang},
title = {A Weak Galerkin Finite Element Method for the Elliptic Variational Inequality},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2019},
volume = {12},
number = {3},
pages = {923--941},
abstract = {<p style="text-align: justify;">In this paper, we discuss the weak Galerkin (WG) finite element method for
the obstacle problem and the second kind of the elliptic variational inequality. We use
piecewise linear functions to approximate the exact solutions. The WG schemes for the
first and the second kind of elliptic variational inequality are established and the well-posedness of the two schemes are proved. Furthermore, we can obtain the optimal order
estimates in $H$<sup>1</sup> norm. Finally, some numerical examples are presented to confirm the
theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2018-0124},
url = {http://global-sci.org/intro/article_detail/nmtma/13137.html}
}