A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems
Numerical Analysis
2020-04-22 v1 Numerical Analysis
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.
Cite
@article{arxiv.1906.06119,
title = {A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems},
author = {F. Dassi and C. Lovadina and M. Visinoni},
journal= {arXiv preprint arXiv:1906.06119},
year = {2020}
}
Comments
submitted to CMAME