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

Abstract

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.

28 pages, 22 figures

Cited by in corpus (1)

• A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations