A family of three-dimensional Virtual Elements for Hellinger-Reissner elasticity problems

05/31/2023

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by   Michele Visinoni, et al.

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We present a family of Virtual Element Methods for three-dimensional linear elasticity problems based on the Hellinger-Reissner variational principle. A convergence and stability analysis is developed. Moreover, using the hybridization technique and exploiting the information derived from this procedure, we show how to compute a better approximation for the displacement field. The numerical experiments confirm the theoretical predictions.