Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

The virtual element method is well suited to the formulation of arbitrarily regular Galerkin
approximations of elliptic partial differential equations of order 2 p 1, for any integer p 1≥ 1 …

We analyze the virtual element methods (VEM) on a simple elliptic model problem, allowing
for more general meshes than the one typically considered in the VEM literature. For …

We present, in a unified framework, new conforming and nonconforming virtual element
methods for general second-order elliptic problems in two and three dimensions. The …

An posteriori error analysis for the virtual element method (VEM) applied to general elliptic
problems is presented. The resulting error estimator is of residual-type and applies on very …

The present work deals with the formulation of a virtual element method for two dimensional
structural problems. The contribution is split in two parts: in part I, the elastic problem is …

Abstract Hybrid High-Order (HHO) methods are formulated in terms of discrete unknowns
attached to mesh faces and cells (hence, the term hybrid), and these unknowns are …

The numerical approximation of 2D elasticity problems is considered, in the framework of the
small strain theory and in connection with the mixed Hellinger–Reissner variational …

The focus of this paper is on developing a virtual element method (VEM) for Darcy and
Brinkman equations. In [L. Beirão da Veiga, C. Lovadina and G. Vacca, ESAIM Math. Model …

In this article, we investigate the behavior of the condition number of the stiffness matrix
resulting from the approximation of a 2D Poisson problem by means of the virtual element …