A low-degree strictly conservative finite element method for incompressible flows

03/01/2021 ∙ by Huilan Zeng, et al. ∙ 0

In this paper, a new P_2-P_1 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.

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