2009 SCAIM Seminar - 05

We present a family of mixed finite elements suitable for discretization of the Navier-Stokes and Darcy equations. It is inf-sup stable and consistent for both equations, such that arbitrarily high order approximations can be achieved by increasing the polynomial degree. Furthermore, the discrete velocities are pointwise divergence free in the free flow region. We will discuss interface conditions between the regions and present numerical results.