A multipoint vorticity mixed finite element method for incompressible Stokes flow

08/29/2022

∙

by   Wietse M. Boon, et al.

∙

0

∙

share

We propose a mixed finite element method for Stokes flow with one degree of freedom per element and facet of simplicial grids. The method is derived by considering the vorticity-velocity-pressure formulation and eliminating the vorticity locally through the use of a quadrature rule. The discrete solution is pointwise divergence-free and the method is pressure robust. The theoretically derived convergence rates are confirmed by numerical experiments.