A Family of Virtual Element Methods for Plane Elasticity Problems Based on the Hellinger-Reissner Principle
arXiv:1711.0616857 citationsh-index: 34
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Provides a new theoretical framework for virtual element methods in elasticity, but the impact is incremental as it extends existing principles to a specific domain.
The authors develop a family of Virtual Element Methods for plane elasticity using the Hellinger-Reissner principle, providing rigorous convergence and stability analysis with numerical validation.
A family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed.