A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems

Academic Article
Publication Date:
2020
Citation:
A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems / F. Dassi, C. Lovadina, M. Visinoni. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 364(2020 Jun), pp. 112910.1-112910.17. [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 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.
IRIS type:
01 - Articolo su periodico
Keywords:
Convergence analysis; Hellinger-Reissner variational formulation; Virtual Element Methods
List of contributors:
Authors of the University:
Link to information sheet:
https://air.unimi.it/handle/2434/791345
Project:
Virtual Element Methods: Analysis and Applications

Research Areas

Concepts


Settore MAT/08 - Analisi Numerica