A Family of Virtual Element Methods for Plane Elasticity Problems Based on the Hellinger-Reissner Principle
Edoardo Artioli, Stefano de Miranda, Carlo Lovadina, Luca Patruno
TL;DR
This paper introduces a family of virtual element methods for plane elasticity problems using the Hellinger-Reissner principle, providing rigorous analysis and numerical validation.
Contribution
It develops a new family of virtual element schemes based on the Hellinger-Reissner principle with proven convergence and stability.
Findings
Numerical tests confirm the theoretical convergence and stability.
The methods effectively solve plane elasticity problems.
The approach offers a flexible framework for elasticity simulations.
Abstract
A family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.