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

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 …

We devise and analyze two hybrid high-order (HHO) methods for the numerical
approximation of the biharmonic problem. The methods support polyhedral meshes, rely on …

We prove error estimates for the wave equation semi-discretized in space by the hybrid high-
order (HHO) method. These estimates lead to optimal convergence rates for smooth …

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 …

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

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 paper investigates, without any regularization procedure, the sensitivity analysis of a
mechanical friction problem involving the (nonsmooth) Tresca friction law in the linear elastic …

This work targets the discretization of contact-mechanics accounting for small strains, linear
elastic constitutive laws, and fractures or faults represented as a network of co-dimension …

In this paper, gradient recovery type a posteriori error estimators of virtual element
discretization are derived for a simplified friction problem, which is a typical elliptic …