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 …

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 …

Hybrid High-Order (HHO) methods attach discrete unknowns to the cells and to the faces of
the mesh. At the heart of their devising lie two intuitive ideas:(i) a local operator …

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

This work deals with the discretization of single-phase Darcy flows in fractured and
deformable porous media, including frictional contact at the matrix–fracture interfaces …

A simple skew-symmetric Nitsche's formulation is introduced into the framework of
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …

In this paper, some new generalized Newton's methods for the resolution of elastostatic
frictional contact problem approximated by finite elements are presented and compared to …

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 …

We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with
contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 …

In this paper we propose an extension of Nitsche's method for frictional contact in large
elastic deformations. In fact we develop an unbiased strategy in which no asymmetry is …