Contact phenomena arise in a variety of industrial process and engineering applications.
For this reason, contact mechanics has attracted substantial attention from research …

In this paper we will present a review of recent advances in the application of the augmented
Lagrange multiplier method as a general approach for generating multiplier-free stabilised …

The virtual element method is well suited to the formulation of arbitrarily regular Galerkin
approximations of elliptic partial differential equations of order 2 p 1, for any integer p 1≥ 1 …

An abstract framework of the virtual element method is established for solving general
elliptic hemivariational inequalities with or without constraint, and a unified a priori error …

This paper is on the numerical solution of an elliptic hemivariational inequality by the virtual
element method. We introduce an abstract framework of the numerical method and provide …

In this paper, the nonconforming virtual element method is studied to solve a hemivariational
inequality problem for the stationary Stokes equations with a nonlinear slip boundary …

We establish a general framework to study the conforming and nonconforming virtual
element methods (VEMs) for solving a Kirchhoff plate contact problem with friction, which is …

In this paper, numerical analysis is carried out for a class of history-dependent variational-
hemivariational inequalities arising in contact problems. A fully discrete scheme is …

We present two primal methods to weakly discretize (linear) Dirichlet and (nonlinear)
Signorini boundary conditions in elliptic model problems. Both methods support polyhedral …

This paper is devoted to virtual element methods for solving elliptic variational inequalities
(EVIs) of the second kind. First, a general framework is provided for the numerical solution of …