3 papers
math.NA2026
Asymptotic Preserving and Accurate scheme for Multiscale Poisson-Nernst-Planck (MPNP) system
Clarissa Astuto, Giovanni Russo
In this paper, we propose and validate a two-species Multiscale model for a Poisson-Nernst-Planck (PNP) system, focusing on the correlated motion of positive and negative ions unde…
math.NA2024
A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
Clarissa Astuto, Daniele Boffi, Giovanni Russo +1
This paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges…
math-ph2024
Kinetic derivation of a compressible Leslie--Ericksen equation for rarified calamitic gases
Patrick E. Farrell, Giovanni Russo, Umberto Zerbinati
Nematic ordering describes the phenomenon where anisotropic molecules tend to locally align, like matches in a matchbox. This ordering can arise in solids (as nematic elastomers),…