3 papers
physics.plasm-ph2025
A one-dimensional reduced plasma model for the electrical treeing
Beatrice Crippa, Anna Scotti, Andrea Villa
Plasma models, consisting of advection-diffusion Partial Differential Equations coupled with chemical reactions, are widely adopted to describe corona, streamers and dielectric bar…
math.NA2025
Fully-Mixed Virtual Element Method for the Biot Problem
Michele Botti, Daniele Prada, Anna Scotti +1
Poroelasticity describes the interaction of deformation and fluid flow in saturated porous media. A fully-mixed formulation of Biot's poroelasticity problem has the advantage of pr…
math.NA2024
A mixed-dimensional model for the electrostatic problem on coupled domains
Beatrice Crippa, Anna Scotti, Andrea Villa
We derive a mixed-dimensional 3D-1D formulation of the electrostatic equation in two domains with different dielectric constants to compute, with an affordable computational cost,…