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 …

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 …

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 …

This paper presents an extension of Nitsche's method to finite deformation
thermomechanical contact problems including friction. The mechanical contact constraints …

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 …