We summarize recent achievements in applying Nitsche's method to some contact and
friction problems. We recall the setting of Nitsche's method in the case of unilateral contact …

This chapter reviews the work conducted by our team on scan-based immersed
isogeometric analysis for flow problems. To leverage the advantageous properties of …

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 propose an adaptive mesh refinement strategy for immersed isogeometric analysis, with
application to steady heat conduction and viscous flow problems. The proposed strategy is …

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 …

We show quasi-optimality and a posteriori error estimates for the frictionless contact problem
between two elastic bodies with a zero-gap function. The analysis is based on interpreting …

We construct a consistent multiplier free method for the finite element solution of the obstacle
problem. The method is based on an augmented Lagrangian formulation in which we …

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 …

We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The
method is derived from, and analyzed as, a stabilized finite element method and shown to …

We develop in this work an adaptive inexact smoothing Newton method for a nonconforming
discretization of a variational inequality. As a model problem, we consider the contact …