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arXiv · 1703.00437

Virtual Elements for the Navier-Stokes problem on polygonal meshes

L. Beirão da Veiga·C. Lovadina·G. Vacca
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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.

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L. Beirão da Veiga, C. Lovadina, G. Vacca. 2017-03-06. Virtual Elements for the Navier-Stokes problem on polygonal meshes. https://arxiv.org/abs/1703.00437

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