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 …

We introduce a Nitsche-based finite element discretization of the unilateral contact problem
in linear elasticity. It features a weak treatment of the nonlinear contact conditions through a …

A general Nitsche method, which encompasses symmetric and non-symmetric variants, is
proposed for frictionless unilateral contact problems in elasticity. The optimal convergence of …

We propose a simple adaptation to the Tresca friction case of the Nitsche-based finite
element method introduced previously for frictionless unilateral contact. Both cases of …

The contents of this book are structured around two main topics: the Mathematical Theory of
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …

Fluid–structure interaction with contact poses profound mathematical and numerical
challenges, particularly when considering realistic contact scenarios and the influence 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 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 present two primal methods to weakly discretize (linear) Dirichlet and (nonlinear)
Signorini boundary conditions in elliptic model problems. Both methods support polyhedral …

We present a new approach for the mechanically consistent modelling and simulation of
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …