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arXiv · 2405.16582

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

Clarissa Astuto·Armando Coco·Umberto Zerbinati
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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 \cite{cocoStissi,astuto2024nodal}, together with numerical tests in various geometries and boundary conditions.

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Clarissa Astuto, Armando Coco, Umberto Zerbinati. 2024-05-26. A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains. https://arxiv.org/abs/2405.16582

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