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
ott-2018
Article (author)
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S0045782518303189-main.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 1.23 MB
Formato Adobe PDF
1.23 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/588603
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 34
  • ???jsp.display-item.citation.isi??? 30
social impact