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 study discontinuous Galerkin methods for solving elliptic variational inequalities of both
the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic …

Reduced basis methods are an efficient tool for significantly reducing the computational
complexity of solving parametrized PDEs. Originally introduced for elliptic equations, they …

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 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 paper is concerned with the unilateral contact problem in linear elasticity. We define two
a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite …

In this paper, residual-based a posteriori error estimates for variational inequalities,
including those of the second kind, are proposed. The variational formulation and its …

In this paper, we consider a posteriori error estimators for obstacle problems. The variational
inequality is reformulated as a mixed problem in terms of a discrete nodewise defined but …

A posteriori error estimates for two-body contact problems are established. The
discretization is based on mortar finite elements with dual Lagrange multipliers. To define …