| Issue |
ESAIM: M2AN
Volume 54, Number 5, September-October 2020
|
|
|---|---|---|
| Page(s) | 1725 - 1750 | |
| DOI | https://doi.org/10.1051/m2an/2020011 | |
| Published online | 23 July 2020 | |
A dual hybrid virtual element method for plane elasticity problems
1
Department of Civil Engineering and Computer Science, University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy
2
DICAM, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
3
Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy
4
IMATI del CNR, Via Ferrata 1, 27100 Pavia, Italy
* Corresponding author: carlo.lovadina@unimi.it
Received:
12
February
2019
Accepted:
11
February
2020
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.
Mathematics Subject Classification: 65N15 / 65N30
Key words: Virtual element method / plane elasticity problems / a priori error estimates / stability estimates / dual hybrid formulations
© EDP Sciences, SMAI 2020
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