A multipoint vorticity mixed finite element method for incompressible Stokes flow

Keywords

Geosciences/Protection of Land and Water Resources
Code:
59/2022
Title:
A multipoint vorticity mixed finite element method for incompressible Stokes flow
Date:
Monday 29th August 2022
Author(s):
Boon, W. M.; Fumagalli, A.
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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.