3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
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…