11 citations · 34 across the 16 of their papers we have counts for
17 papers
Second order unfitted ghost-FEM for elliptic interface problems with applications to low-dimensional semiconductor devices
Clarissa Astuto, Giovanni Nastasi
We develop an unfitted ghost finite element method for elliptic interface problems with discontinuous diffusion coefficients and apply it to the electrostatic simulation of low-dim…
High order ghost-FEM for incompressible Navier-Stokes equations on moving domains
Hridya Dilip, Clarissa Astuto, Armando Coco +1
We develop a new numerical technique for approximating solutions of the Navier-Stokes equations on moving domains. The method aims at simulating an incompressible fluid past an obj…
Standard versus Asymptotic Preserving Time Discretizations for the Poisson-Nernst-Planck System in the Quasi-Neutral Limit
Clarissa Astuto
In this paper, we investigate the correlated diffusion of two ion species governed by a Poisson-Nernst-Planck (PNP) system. Here we further validate the numerical scheme recently p…
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…
Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain
Clarissa Astuto, Peter Markowich, Simone Portaro +1
In recent years, the study of biological transportation networks has attracted significant interest, focusing on their self-regulating, demand-driven nature. This paper examines a…
A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains
Clarissa Astuto, Armando Coco, Umberto Zerbinati
In this paper, a comparative study between the Coco-Russo scheme (based on finite-difference scheme) and the $\mathghost$-FEM (based on finite-element method) is presented when sol…
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…
High order multiscale methods for advection-diffusion equation in highly oscillatory regimes: application to surfactant diffusion and generalization to arbitrary domains
Clarissa Astuto
In this paper, we propose high order numerical methods to solve a 2D advection diffusion equation, in the highly oscillatory regime. We use an integrator strategy that allows the c…
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…
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case
Clarissa Astuto, Jan Haskovec, Peter Markowich +1
We study self-regulating processes modeling biological transportation networks as presented in \cite{portaro2023}. In particular, we focus on the 1D setting for Dirichlet and Neuma…
Time multiscale modeling of sorption kinetics I: uniformly accurate schemes for highly oscillatory advection-diffusion equation
Clarissa Astuto, Mohammed Lemou, Giovanni Russo
In this paper we propose a numerical method to solve a 2D advection-diffusion equation, in the highly oscillatory regime. We use an efficient and robust integrator which leads to a…
Finite element discretization of a biological network formation system: a preliminary study
Clarissa Astuto, Daniele Boffi, Fabio Credali
A finite element discretization is developed for the Cai-Hu model, describing the formation of biological networks. The model consists of a non linear elliptic equation for the pre…
Asymmetry and condition number of an elliptic-parabolic system for biological network formation
Clarissa Astuto, Daniele Boffi, Jan Haskovec +2
We present results of numerical simulations of the tensor-valued elliptic-parabolic PDE model for biological network formation. The numerical method is based on a non-linear finite…
Comparison of two aspects of a PDE model for biological network formation
Clarissa Astuto, Daniele Boffi, Jan Haskovec +2
We compare the solutions of two systems of partial differential equations (PDE), seen as two different interpretations of the same model that describes formation of complex biologi…
A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble
Clarissa Astuto, Armando Coco, Giovanni Russo
We propose a method for the numerical solution of a multiscale model describing sorption kinetics of a surfactant around an oscillating bubble. The evolution of the particles is go…
Anomalous sorption kinetics of self-interacting particles by a spherical trap
Antonio Raudino, Antonio Grassi, Giuseppe Lombardo +3
In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface t…
Multiscale Modeling of Sorption Kinetics
Clarissa Astuto, Antonio Raudino, Giovanni Russo
In this paper we propose and validate a multiscale model for the description of particle diffusion in presence of trapping boundaries. We start from a drift-diffusion equation in w…