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

Source: [A comparison of the Coco-Russo scheme and $\\protect\\mathghost$-FEM for elliptic equations in arbitrary domains](<https://www.sota2.com/research/paper/68fa5bd61e209131ce9cbf23>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:18:33.213Z

Authors: Clarissa Astuto, Armando Coco, Umberto Zerbinati

Published: 2024-05-26T14:26:52.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2405.16582>)

[PDF](<https://arxiv.org/pdf/2405.16582.pdf>)