This paper contains two major contributions. First we derive, following the discrete de Rham
(DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes …

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 …

In this work we develop a discretisation method for the mixed formulation of the
magnetostatic problem supporting arbitrary orders and polyhedral meshes. The method is …

The Harris hawks optimizer (HHO) is a novel meta-heuristic algorithm that imitates a Harris
hawk's hunting behavior and has an efficient exploitation mode. However, it suffers from low …

We prove discrete versions of the first and second Weber inequalities on H (curl)∩ H (div η)-
like hybrid spaces spanned by polynomials attached to the faces and to the cells of a …

The authors propose an innovative technique for dealing with optimal shape design
problems that exploits the flexibility of the virtual element method in generating meshes …

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 …

We propose and analyse a hybrid high-order scheme for the stationary incompressible
magnetohydrodynamics equations. The scheme has an arbitrary order of accuracy and is …

In this paper we prove Poincaré inequalities for the Discrete de Rham (DDR) sequence on a
general connected polyhedral domain Ω of R 3. We unify the ideas behind the inequalities …

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