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

Authors :
Carlo Lovadina
S. de Miranda
Edoardo Artioli
Luca Patruno
Artioli, E.
de Miranda, S.
Lovadina, C.
Patruno, L.
Source :
Computer methods in applied mechanics and engineering 340 (2018): 978–999. doi:10.1016/j.cma.2018.06.020, info:cnr-pdr/source/autori:E. Artioli, S. de Miranda, C. Lovadina, and L. Patruno/titolo:A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle/doi:10.1016%2Fj.cma.2018.06.020/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:978/pagina_a:999/intervallo_pagine:978–999/volume:340
Publication Year :
2018
Publisher :
Elsevier B.V., 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.

Details

Language :
English
Database :
OpenAIRE
Journal :
Computer methods in applied mechanics and engineering 340 (2018): 978–999. doi:10.1016/j.cma.2018.06.020, info:cnr-pdr/source/autori:E. Artioli, S. de Miranda, C. Lovadina, and L. Patruno/titolo:A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle/doi:10.1016%2Fj.cma.2018.06.020/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:978/pagina_a:999/intervallo_pagine:978–999/volume:340
Accession number :
edsair.doi.dedup.....1d9209d8d9ec9fe2e50d803cfed7a4c1
Full Text :
https://doi.org/10.1016/j.cma.2018.06.020