27 citations · 29 across the 8 of their papers we have counts for
8 papers
Numerical Analysis of the Virtual Element Approximation for the Smagorinsky Turbulence Model
Karol L. Cascavita, Francesca Marcon, Maria Strazzullo
In this paper, we consider the Smagorinsky model for the Navier-Stokes equations within a virtual element framework. Under the standard assumption of small data, we prove the exist…
Hybrid-Dimensional Biot Problem with an Optimization Based Domain Decomposition Approach
Francesca Marcon, Stefano Scialò
The present work proposes a numerical approach for solving coupled flow and mechanics problems in fractured porous media, represented as mixed-dimensional domains. In this formulat…
Hydro-mechanical Model for Slope Stability Assessment: A polygonal stabilization-free discretization
Stefano Berrone, Francesca Marcon, Gioana Teora
Rainfall-induced landslides are governed by the interaction between subsurface water flow and soil mechanics, requiring robust numerical methods for the simulation of variably satu…
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…
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…
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems
Stefano Berrone, Andrea Borio, Francesca Marcon
In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (EVEM) with the focus on s…