We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

We consider frictional contact problems in small strain elasticity discretized with finite
elements and Nitsche method. Both bilateral and unilateral contact problems are taken into …

We devise and analyze a hybrid high-order (HHO) method to discretize unilateral and
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …

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 …

We introduce a residual-based a posteriori error estimator for contact problems in two-and
three-dimensional linear elasticity, discretized with linear and quadratic finite elements and …

In this paper, we consider two error estimators for one-body contact problems. The first error
estimator is defined in terms of $ H (\text {div}) $-conforming stress approximations and …

In this paper, gradient recovery type a posteriori error estimators of virtual element
discretization are derived for a simplified friction problem, which is a typical elliptic …

In this study, a receding contact problem for two elastic layers supported by a Winkler
foundation is handled using two different methods such as an analytical method and a finite …

In this article, a reliable a posteriori error estimate of residual type is derived for a variational
inequality of second kind modeling Stokes equations with Tresca's boundary condition. Two …

This article presents stochastic augmented Lagrangian multiplier methods to solve contact
problems with uncertainties, in which stochastic contact constraints are imposed by weak …