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.

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. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 340(2018 Oct), pp. 978-999.

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

C. Lovadina
Penultimo
;
2018

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.
Hellinger–Reissner formulation; Plane elasticity problem; Stability and convergence analysis; Virtual element method; Computational Mechanics;
Settore MAT/08 - Analisi Numerica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/588603
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