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 review different techniques to enforce essential boundary conditions, such as the
(nonhomogeneous) Dirichlet boundary condition, within a discrete variational framework …

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 …

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 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 present two primal methods to weakly discretize (linear) Dirichlet and (nonlinear)
Signorini boundary conditions in elliptic model problems. Both methods support polyhedral …

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 …

This article considers the error analysis of finite element discretizations and adaptive mesh
refinement procedures for nonlocal dynamic contact and friction, both in the domain and on …