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arXiv · 2202.08571

Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems

Stefano Berrone·Andrea Borio·Francesca Marcon
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Abstract

In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E$^2$VEM) with the focus on some elliptic test problems whose solution and diffusivity tensor are characterized by anisotropies. Results show that the possibility to avoid an arbitrary stabilizing part, offered by E$^2$VEM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.

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Stefano Berrone, Andrea Borio, Francesca Marcon. 2022-02-17. Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems. https://doi.org/10.1016/j.aml.2022.107971

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