A dual hybrid virtual element method for plane elasticity problems
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 5, pp. 1725-1750.

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.

Reçu le :
Accepté le :
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DOI : 10.1051/m2an/2020011
Classification : 65N15, 65N30
Mots-clés : Virtual element method, plane elasticity problems, $$ error estimates, stability estimates, dual hybrid formulations 
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     title = {A dual hybrid virtual element method for plane elasticity problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1725--1750},
     publisher = {EDP-Sciences},
     volume = {54},
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Artioli, Edoardo; de Miranda, Stefano; Lovadina, Carlo; Patruno, Luca. A dual hybrid virtual element method for plane elasticity problems. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 5, pp. 1725-1750. doi : 10.1051/m2an/2020011. http://www.numdam.org/articles/10.1051/m2an/2020011/

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