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 …

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 …

We study the Nitsche-based finite element method for contact with Coulomb friction
considering both static and dynamic situations. We provide existence and/or uniqueness …

The aim of this paper is to provide some mathematical results for the discrete problem
associated to contact with Coulomb friction, in linear elasticity, when finite elements and …

In this article, we study a mathematical model that represents the concentration polarization
and osmosis effects in a reverse osmosis cross‐flow channel with dense membranes at …

Multi-rigid-body dynamic contact systems, in other words Non Smooth Contact Dynamics
(NSCD) problems, generate some inherent difficulties to multivocal laws, which results in …

In this paper, several active set methods based on classical problems arising in Contact
Mechanics are analyzed, namely unilateral/bilateral contact associated with …

In this work, we propose a mathematical model of hyper-viscoelastic problems applied to
soft biological tissues, along with an energy-consistent numerical approximation. We first …

This work focuses on the numerical performance of HHT-α and TR-BDF2 schemes for
dynamic frictionless unilateral contact problems between an elastic body and a rigid …