A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains
<|reference_start|>A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains: 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.<|reference_end|>
@article{astuto2024a,
    title={A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for
  elliptic equations in arbitrary domains},
    author={Clarissa Astuto and Armando Coco and Umberto Zerbinati},
    journal={arXiv preprint arXiv:2405.16582},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.16582},
    primaryClass={math.NA cs.NA}
}