Journal
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Volume 54, Issue 5, Pages 1725-1750Publisher
EDP SCIENCES S A
DOI: 10.1051/m2an/2020011
Keywords
Virtual element method; plane elasticity problems; a priorierror estimates; stability estimates; dual hybrid formulations
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Funding
- University of Rome Tor Vergata Mission Sustainability Programme [SPY-E81I18000540005]
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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.
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