A Family of Virtual Element Methods for Plane Elasticity Problems Based on the Hellinger-Reissner Principle

Abstract

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.

References in corpus (3)

• On the Virtual Element Method for Three-Dimensional Elasticity Problems on Arbitrary Polyhedral Meshes
• A Virtual Element Method for elastic and inelastic problems on polytope meshes
• A Stress/Displacement Virtual Element Method for Plane Elasticity Problems

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