A multipoint vorticity mixed finite element method for incompressible Stokes flow
Numerical Analysis
2022-08-30 v1 Numerical Analysis
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.
Cite
@article{arxiv.2208.13540,
title = {A multipoint vorticity mixed finite element method for incompressible Stokes flow},
author = {Wietse M. Boon and Alessio Fumagalli},
journal= {arXiv preprint arXiv:2208.13540},
year = {2022}
}