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 …

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 a hybrid high-order (HHO) method to discretize unilateral and
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …

We consider an elastostatic frictional contact problem with a normal compliance condition
and Coulomb's law of dry friction, which can be modeled by a quasi-variational inequality …

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 …

Abstract Hybrid High-Order methods are introduced and analyzed for the elliptic obstacle
problem in two and three space dimensions. The methods are formulated in terms of face …

We propose a novel hybrid high-order method (HHO) to approximate singularly perturbed
fourth-order PDEs on domains with a possibly curved boundary. The two key ideas in …

In this paper, we design and analyze the conforming and nonconforming virtual element
methods for the Signorini problem. Under some regularity assumptions, we prove optimal …

Abstract Hybrid High-Order (HHO) methods are a recently developed class of methods
belonging to the broader family of Discontinuous Sketetal methods. Other well known …