# A Dual Hybrid Virtual Element Method for Plane Elasticity Problems

## TL;DR

This paper introduces a dual hybrid Virtual Element Method for plane elasticity problems, demonstrating stability, convergence, and effectiveness through numerical tests on benchmarks and microelectromechanical systems.

## Contribution

It presents a novel dual hybrid Virtual Element scheme with proven stability and convergence, offering an effective alternative to traditional displacement-based methods.

## Key findings

- First order convergence demonstrated
- Numerical tests confirm method's accuracy
- Validates dual hybrid scheme as an alternative

## Abstract

A dual hybrid Virtual Element scheme for plane linear elastic problems is presented and analysed. In particular, stability and convergence results have been established. The method, which is first order convergent, has been numerically tested on two benchmarks with closed form solution, and on a typical microelectromechanical system. The numerical outcomes have proved that the dual hybrid scheme represents a valid alternative to the more classical low-order displacement-based Virtual Element Method.