Rock fractures are crucial conduits for fluid flow in fractured rock masses. Three-dimensional
(3D) discrete fracture network (DFN) modeling approach, which can explicitly characterize …

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 …

A family of virtual element methods for the two-dimensional Navier--Stokes equations is
proposed and analyzed. The schemes provide a discrete velocity field which is pointwise …

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 …

We develop a numerical assessment of the Virtual Element Method for the discretization of a
diffusion–reaction model problem, for higher “polynomial” order k and three space …

We present a comprehensive review of the current development of discontinuous Galerkin
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …

Fracture networks play a more significant role in conducting fluid flow and solute transport in
fractured rock masses, comparing with that of the rock matrix. Accurate estimation of the …

A comprehensive framework for modeling flow in porous media containing thin, discrete
features, which could be high-permeability fractures or low-permeability deformation bands …

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 the framework of the discretization of advection–diffusion problems by means of the
Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by …