In this paper we introduce and analyze a virtual element method (VEM) for a mixed
variational formulation of the Stokes problem in which the pseudostress and the velocity are …

We consider, as a simple model problem, the application of virtual element methods (VEMs)
to the linear magnetostatic three-dimensional problem in the formulation of Kikuchi. In doing …

We analyse the nonconforming Virtual Element Method (VEM) for the approximation of
elliptic eigenvalue problems. The nonconforming VEM allows to treat in the same …

We present the essential tools to deal with virtual element method (VEM) for the
approximation of solutions of partial differential equations in mixed form. Functional spaces …

We give here a simplified presentation of the lowest order Serendipity Virtual Element
method, and show its use for the numerical solution of linear magneto-static problems in …

The nonconforming Morley-type virtual element method for the incompressible Navier–
Stokes equations formulated in terms of the stream-function on simply connected polygonal …

We discuss the p-and h p-versions of the virtual element method for the approximation of
eigenpairs of elliptic operators with a potential term on polygonal meshes. An application of …

The aim of this paper is to develop a virtual element method (VEM) for the vibration problem
of thin plates on polygonal meshes. We consider a variational formulation relying only on the …

We consider the use of nodal and edge Virtual Element spaces for the discretization of
magnetostatic problems in two dimensions, following the variational formulation of Kikuchi …

In this paper, we develop a virtual element method (VEM) of high order to solve the fourth
order plate buckling eigenvalue problem on polygonal meshes. We write a variational …