Virtual Elements for the Navier-Stokes problem on polygonal meshes
Numerical Analysis
2017-03-07 v2
Abstract
A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free. A rigorous error analysis is developed, showing that the methods are stable and optimally convergent. Several numerical tests are presented, confirming the theoretical predictions. A comparison with some mixed finite elements is also performed.
Cite
@article{arxiv.1703.00437,
title = {Virtual Elements for the Navier-Stokes problem on polygonal meshes},
author = {L. Beirão da Veiga and C. Lovadina and G. Vacca},
journal= {arXiv preprint arXiv:1703.00437},
year = {2017}
}