Hybridization of the Virtual Element Method for linear elasticity problems

03/01/2021
by   Franco Dassi, et al.
0

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.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 23

06/14/2019

A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems

We present a Virtual Element Method for the 3D linear elasticity problem...
02/02/2021

The conforming virtual element method for polyharmonic and elastodynamics problems: a review

In this paper, we review recent results on the conforming virtual elemen...
05/06/2020

A new paradigm for enriching virtual element methods

We construct a virtual element method (VEM) based on approximation space...
11/07/2021

Extended virtual element method for two-dimensional linear elastic fracture

In this paper, we propose an eXtended Virtual Element Method (X-VEM) for...
02/27/2020

Performances of the mixed virtual element method on complex grids for underground flow

The numerical simulation of physical processes in the underground freque...
04/08/2021

The virtual element method for the coupled system of magneto-hydrodynamics

In this work, we review the framework of the Virtual Element Method (VEM...
07/17/2020

Equilibrium analysis of an immersed rigid leaflet by the virtual element method

We study, both theoretically and numerically, the equilibrium of a hinge...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.