8 papers · 1 filter
Stabilization of the nonconforming virtual element method
Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio +1
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…
VEM and the Mesh
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu +6
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 the pol…
A p-robust polygonal discontinuous Galerkin method with minus one stabilization
Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
We introduce a new stabilization for discontinuous Galerkin methods for the Poisson problem on polygonal meshes, which induces optimal convergence rates in the polynomial approxima…
The Virtual Element Method for a Minimal Surface Problem
Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada +1
In this paper we consider the Virtual Element discretization of a minimal surface problem, a quasi-linear elliptic partial differential equation modeling the problem of minimizing…
A Fat boundary-type method for localized nonhomogeneous material problems
Alex Viguerie, Silvia Bertoluzza, Ferdinando Auricchio
Problems with localized nonhomogeneous material properties arise frequently in many applications and are a well-known source of difficulty in numerical simulations. In certain appl…
FETI-DP for the three-dimensional Virtual Element Method
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We deal with the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) preconditioner for elliptic problems discretized by the virtual element method (VEM). We extend th…