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Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems (2202.08571v1)
Published 17 Feb 2022 in math.NA and cs.NA
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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