We consider the discretization of a boundary value problem for a general linear second-
order elliptic operator with smooth coefficients using the Virtual Element approach. As in [AH …

In the present paper we develop a new family of Virtual Elements for the Stokes problem on
polygonal meshes. By a proper choice of the Virtual space of velocities and the associated …

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 …

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 …

In this paper we develop an evolution of the C^1 virtual elements of minimal degree for the
approximation of the Cahn--Hilliard equation. The proposed method has the advantage of …

In the present paper we introduce a Virtual Element Method (VEM) for the approximate
solution of general linear second order elliptic problems in mixed form, allowing for variable …

The aim of this paper is to develop a virtual element method for the two-dimensional Steklov
eigenvalue problem. We propose a discretization by means of the virtual elements …

Some Estimates for Virtual Element Methods Skip to content Should you have institutional
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We present the nonconforming virtual element method (VEM) for the numerical
approximation of velocity and pressure in the steady Stokes problem. The pressure is …

The virtual element method (VEM) is a recent technology that can make use of very general
polygonal/polyhedral meshes without the need to integrate complex nonpolynomial …