Data di Pubblicazione:
2021
Citazione:
Hybridization of the virtual element method for linear elasticity problems / F. Dassi, C. Lovadina, M. Visinoni. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 31:14(2021 Dec 30), pp. 2979-3008. [10.1142/S0218202521500676]
Abstract:
In this paper, we extend the hybridization procedure proposed in [D. N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates, ESAIM Math. Model. Numer. Anal. 19 (1985) 7-32] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner principle. To illustrate such a technique, we focus on a specific 2D scheme, 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
elasticity problems; hybridization; Virtual element methods
Elenco autori:
F. Dassi, C. Lovadina, M. Visinoni
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