4 papers
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…
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 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…