@Article{NMTMA-14-3,
author = {Jianguo, Huang and Feng, Fang and Weimin, Han and Jianguo, Huang},
title = {The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2021},
volume = {14},
number = {3},
pages = {589--612},
abstract = {<p style="text-align: justify;">An abstract framework of numerical method is devised for solving an elliptic hemivariational inequality with convex constraint. Convergence of the method
is explored under the minimal solution regularity available from the well-posedness
of the hemivariational inequality. A Céa-type inequality is derived for error estimation. As a typical example, a virtual element method is proposed to solve a frictionless unilateral contact problem and its optimal error estimates are obtained as well.
Numerical results are reported to show the performance of the proposed method.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0180},
url = {https://global-sci.com/article/90312/the-virtual-element-method-for-an-elliptic-hemivariational-inequality-with-convex-constraint}
}