# A Stress/Displacement Virtual Element Method for Plane Elasticity Problems

## TL;DR

This paper introduces a low-order Virtual Element Method for 2D elasticity problems that ensures symmetric stresses, backed by stability analysis and numerical tests, improving computational approaches in plane elasticity.

## Contribution

The paper presents a novel low-order VEM with symmetric stress approximation for 2D elasticity, including stability proof and convergence analysis.

## Key findings

- Method achieves stable and convergent solutions.
- Numerical tests confirm effectiveness and accuracy.
- Ensures symmetric stress approximation in VEM.

## Abstract

The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational formulation. A low-order Virtual Element Method (VEM) with a-priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis.