TY - JOUR
T1 - The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint
AU - Feng , Fang
AU - Han , Weimin
AU - Huang , Jianguo
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 589
EP - 612
PY - 2021
DA - 2021/06
SN - 14
DO - http://doi.org/10.4208/nmtma.OA-2020-0180
UR - https://global-sci.org/intro/article_detail/nmtma/19190.html
KW - Virtual element method, hemivariational inequality, error estimate, multiobjective
double bundle method.
AB - <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>