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

02/17/2022

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by   Stefano Berrone, et al.

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In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E^2VEM) 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^2VEM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.