A multipoint vorticity mixed finite element method for incompressible Stokes flow

Source code and examples for the paper
"A multipoint vorticity mixed finite element method for incompressible Stokes flow" by Wietse M. Boon and Alessio Fumagalli.
See arXiv pre-print.

Abstract

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.

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License

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