3 papers
math.NA2026
The High Order Virtual Element Method On Approximate Domains: Neumann Boundary Conditions
Silvia Bertoluzza, Monica Montardini, Daniele Prada
In the framework of the virtual element method with shifted boundary type treatment of curved geometries, we propose a novel approach to the treatment of Neumann boundary condition…
math.NA2026
The MINI mixed virtual element for the Stokes equation
Silvia Bertoluzza, Fabio Credali, Daniele Prada
We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove op…
math.NA2025
Artificial neural network evaluation of geometric constants for polygonal domains
Beatrice Crippa, Sofia Imperatore, Silvia Bertoluzza +1
We propose an approach based on Artificial Neural Networks (ANNs) to evaluate geometric constants relevant to the analysis and design of numerical schemes for partial differential…