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

We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. This formulation preserves the maximum principle in case of the semi-discrete scheme as well as ...