A low-degree strictly conservative finite element method for incompressible flows
Numerical Analysis
2021-03-23 v2 Numerical Analysis
Abstract
In this paper, a new finite element pair is proposed for incompressible fluid. For this pair, the discrete inf-sup condition and the discrete Korn's inequality hold on general triangulations. It yields exactly divergence-free velocity approximations when applied to models of incompressible flows. The robust capacity of the pair for incompressible flows are verified theoretically and numerically.
Keywords
Cite
@article{arxiv.2103.00705,
title = {A low-degree strictly conservative finite element method for incompressible flows},
author = {Huilan Zeng and Chen-Song Zhang and Shuo Zhang},
journal= {arXiv preprint arXiv:2103.00705},
year = {2021}
}
Comments
28 pages, 22 figures