Hybridization of the virtual element method for linear elasticity problems
Franco Dassi, Carlo Lovadina, Michele Visinoni
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Source: Crossref
Published: Dec 20, 2021
DOI: 10.1142/s0218202521500676
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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.
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