The Virtual Element Methods for the linear elasticity problems are considered, in the framework of the Hellinger-Reissner variational principle. After having reviewed some 2D schemes already studied in the literature, an augmented Lagrangian formulation is introduced, with the aim at designing a method with a minimal number of local degrees of freedom. Several numerical results are presented.
Some Remarks on the Virtual Element Method for the Linear Elasticity Problem in Mixed Form / C. Lovadina, M. Visinoni (CIM SERIES IN MATHEMATICAL SCIENCES). - In: PICNDEA Nonlinear differential equations and applicationsCham (Switzerland( : Springer, 2024. - ISBN 9783031537394. - pp. 153-174 [10.1007/978-3-031-53740-0_9]
Some Remarks on the Virtual Element Method for the Linear Elasticity Problem in Mixed Form
C. Lovadina
Primo
;M. VisinoniUltimo
2024
Abstract
The Virtual Element Methods for the linear elasticity problems are considered, in the framework of the Hellinger-Reissner variational principle. After having reviewed some 2D schemes already studied in the literature, an augmented Lagrangian formulation is introduced, with the aim at designing a method with a minimal number of local degrees of freedom. Several numerical results are presented.
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