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arXiv · 2208.13540

A multipoint vorticity mixed finite element method for incompressible Stokes flow

Wietse M. Boon·Alessio Fumagalli
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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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Wietse M. Boon, Alessio Fumagalli. 2022-08-29. A multipoint vorticity mixed finite element method for incompressible Stokes flow. https://arxiv.org/abs/2208.13540

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