A family of virtual element methods for plane elasticity problems based on the Hellinger–Reissner principle

E Artioli,S De Miranda,C Lovadina,L Patruno

doi:10.1016/j.cma.2018.06.020

A family of virtual element methods for plane elasticity problems based on the Hellinger–Reissner principle

E Artioli, S De Miranda + Show 2 more

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https://doi.org/10.1016/j.cma.2018.06.020

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Journal: Computer Methods in Applied Mechanics and Engineering	Publication Date: Jun 23, 2018
Citations: 40

Affiliation: University of Rome Tor Vergata, University of Bologna, University of Milan, Istituto di Matematica Applicata e Tecnologie Informatiche

#Hellinger Reissner Variational Principle #Hellinger Reissner Principle + Show 8 more

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Abstract

In the framework of 2D elasticity problems, 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.

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