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.NA2024
Numerical Solution of linear drift-diffusion and pure drift equations on one-dimensional graphs
Beatrice Crippa, Anna Scotti, Andrea Villa
We propose numerical schemes for the approximate solution of problems defined on the edges of a one-dimensional graph. In particular, we consider linear transport and a drift-diffu…
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,…