English

Hybridization of the Virtual Element Method for linear elasticity problems

Numerical Analysis 2021-03-02 v1 Numerical Analysis

Abstract

We extend the hybridization procedure proposed in [Arnold, Brezzi, 1985, ESAIM: M2AN] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner principle. To illustrate such a technique, we focus on the 2D case, but other methods and 3D problems can be considered as well. We also show how to design a better approximation of the displacement field using a straightforward post-processing procedure. The numerical experiments confirm the theory for both two and three-dimensional problems.

Keywords

Cite

@article{arxiv.2103.01164,
  title  = {Hybridization of the Virtual Element Method for linear elasticity problems},
  author = {Franco Dassi and Carlo Lovadina and Michele Visinoni},
  journal= {arXiv preprint arXiv:2103.01164},
  year   = {2021}
}

Comments

submitted to M3AS

R2 v1 2026-06-23T23:37:38.684Z