English

A first-order stabilization-free Virtual Element Method

Numerical Analysis 2023-02-02 v1 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2302.00621,
  title  = {A first-order stabilization-free Virtual Element Method},
  author = {Stefano Berrone and Andrea Borio and Francesca Marcon and Gioana Teora},
  journal= {arXiv preprint arXiv:2302.00621},
  year   = {2023}
}
R2 v1 2026-06-28T08:29:22.517Z