A first-order stabilization-free Virtual Element Method

In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.(c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, a new Virtual Element Method (VEM) is introduced that does not require any stabilization term. The method is based on a modified formulation of the discrete diffusion operator, which ensures stability while preserving all the properties of the differential operator.