A finite element implementation of the GePUP pressure-Poisson reformulation of the Navier-Stokes equations is shown to reach fourth- and fifth-order accuracy with equal-order velocity-pressure elements and no inf-sup condition.
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Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
A finite element implementation of the GePUP pressure-Poisson reformulation of the Navier-Stokes equations is shown to reach fourth- and fifth-order accuracy with equal-order velocity-pressure elements and no inf-sup condition.