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math.NA2025
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.NA2023
Multiscale Modeling with Differential Equations
Clarissa Astuto, Giovanni Russo
Many physical systems are governed by ordinary or partial differential equations (see, for example, Chapter ''Differential equations'', ''System of Differential Equations''). Typic…