A comparison of the Coco-Russo scheme and \protect\mathghost-FEM for elliptic equations in arbitrary domains

2024/05/26 by Clarissa Astuto, Astuto, Clarissa, Armando Coco +3 · 2 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2405.16582

Abstract

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 solving the Poisson equation in arbitrary domains. The comparison between the two numerical methods is carried out by presenting analytical results from the literature \citecocoStissi,astuto2024nodal, together with numerical tests in various geometries and boundary conditions.

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• Standard versus Asymptotic Preserving Time Discretizations for the Poisson-Nernst-Planck System in the Quasi-Neutral Limit
• Asymptotic Preserving and Accurate scheme for Multiscale Poisson-Nernst-Planck (MPNP) system

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