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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
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,…