A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems
arXiv:1906.06119 · doi:10.1016/j.cma.2020.112910
Abstract
We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger-Reissner variational principle. In the framework of the small strain theory, we propose a low-order scheme with a-priori symmetric stresses and continuous tractions across element interfaces. A convergence and stability analysis is developed and we confirm the theoretical predictions via some numerical tests.
submitted to CMAME
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- The 3D Nonconforming Virtual Element Method with enhanced spaces: numerical investigation and implementation guide
- New Discontinuous Galerkin Algorithms and Analysis for Linear Elasticity with Symmetric Stress Tensor