We present a reduced basis method for cheaply constructing (possibly rough)
approximations to the nodal basis functions of the virtual element space, and propose to use …

The virtual element method (VEM) is a novel family of numerical methods for approximating
partial differential equations on very general polygonal or polyhedral computational grids …

Abstract The Virtual Element Method (VEM) is a recent numerical technology for the solution
of partial differential equations on computational grids constituted by polygonal or …

The virtual element method (VEM) is a new family of numerical methods for the
approximation of partial differential equations, where the geometry of the polytopal mesh …

Several physical phenomena are described by systems of partial differential equations
(PDEs) that, after space discretization, yield the solution of saddle point algebraic linear …

In the framework of virtual element discretizations, we address the problem of imposing non
homogeneous Dirichlet boundary conditions in a weak form, both on polygonal/polyhedral …

In this work we report some results, obtained within the framework of the ERC Project
CHANGE, on the impact on the performance of the virtual element method of the shape of …

We address the issue of designing robust stabilization terms for the nonconforming virtual
element method. To this end, we transfer the problem of defining the stabilizing bilinear form …

The focus of this study is the construction and numerical validation of parallel block
preconditioners for low order virtual element discretizations of the three-dimensional …

We analyze the local accuracy of the virtual element method. More precisely, we prove an
error bound similar to the one holding for the finite element method, namely, that the local H …