A dual hybrid Virtual Element scheme for plane linear elastic problems is presented and analysed. In particular, stability and convergence results have been established. The method, which is first order convergent, has been numerically tested on two benchmarks with closed form solution, and on a typical microelectromechanical system. The numerical outcomes have proved that the dual hybrid scheme represents a valid alternative to the more classical low-order displacement-based Virtual Element Method.

Artioli, E., De Miranda, S., Lovadina, C., Patruno, L. (2020). A dual hybrid virtual element method for plane elasticity problems. ESAIM. MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 54(5), 1725-1750 [10.1051/m2an/2020011].

A dual hybrid virtual element method for plane elasticity problems

Artioli E.;
2020-01-01

Abstract

A dual hybrid Virtual Element scheme for plane linear elastic problems is presented and analysed. In particular, stability and convergence results have been established. The method, which is first order convergent, has been numerically tested on two benchmarks with closed form solution, and on a typical microelectromechanical system. The numerical outcomes have proved that the dual hybrid scheme represents a valid alternative to the more classical low-order displacement-based Virtual Element Method.
2020
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
A priori error estimates
Dual hybrid formulations
Plane elasticity problems
Stability estimates
Virtual element method
Artioli, E., De Miranda, S., Lovadina, C., Patruno, L. (2020). A dual hybrid virtual element method for plane elasticity problems. ESAIM. MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 54(5), 1725-1750 [10.1051/m2an/2020011].
Artioli, E; De Miranda, S; Lovadina, C; Patruno, L
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/313568
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