73 citations · 145 across the 14 of their papers we have counts for
14 papers
A residual a posteriori error estimate for the Stabilization-free Virtual Element Method
Stefano Berrone, Andrea Borio, Davide Fassino +1
In this work, we present the a posteriori error analysis of Stabilization-Free Virtual Element Methods for the 2D Poisson equation. The abscence of a stabilizing bilinear form in t…
POLYDIM: A C++ library for POLYtopal DIscretization Methods
Stefano Berrone, Andrea Borio, Gioana Teora +1
This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. Th…
Stabilization-Free General Order Virtual Element Methods for Neumann Boundary Optimal Control Problems in Saddle Point Formulation
Andrea Borio, Francesca Marcon, Maria Strazzullo
In this work, we explore the application of Stabilization-Free Virtual Element Methods for Neumann boundary Optimal Control Problems in saddle point formulation. The method is prop…
A lowest order stabilization-free mixed Virtual Element Method
Andrea Borio, Carlo Lovadina, Francesca Marcon +1
We initiate the design and the analysis of stabilization-free Virtual Element Methods for the laplacian problem written in mixed form. A Virtual Element version of the lowest order…
SUPG-stabilized stabilization-free VEM: a numerical investigation
Andrea Borio, Martina Busetto, Francesca Marcon
We numerically investigate the possibility of defining stabilization-free Virtual Element (VEM) discretizations of advection-diffusion problems in the advection-dominated regime. T…
A first-order stabilization-free Virtual Element Method
Stefano Berrone, Andrea Borio, Francesca Marcon +1
In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a mo…